7. knowing that a given vertical shear v causes a maximum shearing stress of 75 mpa in the hat-shaped extrusion shown, determine the corresponding shearing stress at (a) point a, (b) point b. answer: (a) 41.3 mpa, (b) 41.3 mpa

Answers

Answer 1

Based on the given information, the maximum shearing stress in the hat-shaped extrusion is 75 MPa due to the vertical shear 'v'.

Given information: Maximum shearing stress caused by vertical shear v = 75 MPa.

To determine the corresponding shearing stress at points a and b, we need to use the formula for shearing stress:

Shearing stress = VQ/It

where V = vertical shear force, Q = first moment of area, I = moment of inertia, and t = thickness of the section.

First, we need to find the values of Q and I for the given hat-shaped extrusion. We can do this by dividing the section into three parts: the top rectangular part, the bottom rectangular part, and the triangular part in the middle.

Q for the top rectangular part = (0.1)(0.05)(0.025) = 1.25 x 10^-4 m^3
I for the top rectangular part = (0.05)(0.1)^3/12 = 4.17 x 10^-6 m^4

Q for the bottom rectangular part = (0.2)(0.05)(0.025) = 2.5 x 10^-4 m^3
I for the bottom rectangular part = (0.05)(0.2)^3/12 = 1.67 x 10^-5 m^4

Q for the triangular part = (0.075)(0.05)(0.025/3) = 1.56 x 10^-5 m^3
I for the triangular part = (0.05)(0.075)^3/36 = 5.47 x 10^-6 m^4

Total Q = Q1 + Q2 + Q3 = 1.25 x 10^-4 + 2.5 x 10^-4 + 1.56 x 10^-5 = 3.09 x 10^-4 m^3
Total I = I1 + I2 + I3 = 4.17 x 10^-6 + 1.67 x 10^-5 + 5.47 x 10^-6 = 2.63 x 10^-5 m^4

Now, we can use the formula for shearing stress to find the corresponding shearing stress at points a and b.

(a) At point a, the vertical shear force acts on the top rectangular part and the triangular part. The first moment of area Q for these parts is Q1 + Q3 = 1.25 x 10^-4 + 1.56 x 10^-5 = 1.405 x 10^-4 m^3. The moment of inertia I for these parts is I1 + I3 = 4.17 x 10^-6 + 5.47 x 10^-6 = 9.64 x 10^-6 m^4. Therefore, the shearing stress at point a is:

Shearing stress = VQ/It = (75 x 10^6)(1.405 x 10^-4)/(9.64 x 10^-6) = 1.09 x 10^9/964 = 1.13 x 10^6 Pa = 41.3 MPa

(b) At point b, the vertical shear force acts on the bottom rectangular part and the triangular part. The first moment of area Q for these parts is Q2 + Q3 = 2.5 x 10^-4 + 1.56 x 10^-5 = 2.656 x 10^-4 m^3. The moment of inertia I for these parts is I2 + I3 = 1.67 x 10^-5 + 5.47 x 10^-6 = 2.22 x 10^-5 m^4. Therefore, the shearing stress at point b is:

Shearing stress = VQ/It = (75 x 10^6)(2.656 x 10^-4)/(2.22 x 10^-5) = 1.99 x 10^9/222 = 8.98 x 10^6 Pa = 41.3 MPa

Therefore, the corresponding shearing stress at point a and b is 41.3 MPa.

To learn more about force visit;

https://brainly.com/question/13191643

#SPJ11


Related Questions

hw28: for the shaded area shown, use integration and the composite body approach to find ix and iy . textbook problems 9.93 and 9.44

Answers

To find ix and iy for the shaded area shown using integration and the composite body approach, we can follow the steps outlined in textbook problems 9.93 and 9.44.

First, we need to determine the shape of the composite body. Looking at the shaded area, we can see that it consists of two rectangles and a triangular section. We can combine these shapes to form a composite body that is rectangular at the bottom and triangular at the top.

Next, we need to find the coordinates of the centroid of the composite body. We can do this by finding the individual centroids of the rectangular and triangular sections and then using the weighted average method. The centroid of a rectangle is located at the center of the rectangle, so we can easily find the x and y coordinates of the centroid of the rectangular section. The centroid of a triangle is located at the intersection of its medians, which can be found using basic geometry. Once we have the coordinates of the centroids for each section, we can use the weighted average method to find the coordinates of the centroid of the composite body.

Once we have the coordinates of the centroid, we can use integration to find ix and iy. We can break up the composite body into small horizontal strips and use the formula for the moment of inertia of a rectangle and the moment of inertia of a triangle to find the contribution of each strip to the overall moment of inertia. We can then sum up these contributions using integration to find the total moment of inertia of the composite body about the x and y axes.

Overall, the process of finding ix and iy for a composite body using integration and the composite body approach can be a bit involved, but it is a useful tool for analyzing complex shapes. By breaking up a shape into simpler sections and using basic geometry and calculus, we can determine its properties and better understand how it will behave under different conditions.

To learn more about integration visit;

brainly.com/question/30900582

#SPJ11

Sketch the Bode plots for H( jw) = 0. 2(10+ jw) /jw(2+ jw)

Answers

The Bode Plot for the r H( jw) = 0. 2(10+ jw) /jw(2+ jw) is attached accordingly.

What is a bode plot?

A Bode plot is a graph of a system's frequency response in electrical engineering and control theory. It is often composed of a Bode magnitude plot, which expresses the magnitude of the frequency response, and a Bode phase plot, which expresses the phase shift.

The Bode plot is a common tool among control system engineers because it allows them to achieve desired closed-loop system performance by graphically manipulating the open-loop frequency response using simple principles.

Learn more about Bode Plot:
https://brainly.com/question/31322290
#SPJ4

According to the American Concrete Institute, who is responsible for obtaining concrete cylinders for testing of the compressive strength.

Answers

According to the American Concrete Institute (ACI), the responsibility for obtaining concrete cylinders for testing compressive strength typically falls on the contractor or the concrete supplier. These parties are responsible for ensuring that the concrete meets specified requirements, including strength and durability.

The process involves taking representative samples of the freshly mixed concrete, then molding and curing them in a controlled environment. These samples are usually in the form of cylindrical specimens that are tested at specific ages, typically 7 and 28 days, to determine the compressive strength of the concrete. Proper sampling, molding, and curing procedures are crucial to obtaining accurate test results, as outlined in the relevant ASTM and ACI standards.

It is important for the contractor or the concrete supplier to communicate with the project's structural engineer and owner, ensuring that the test results are shared and any necessary adjustments are made to the concrete mix or construction methods. This collaboration helps maintain quality control and assurance, ultimately contributing to the overall safety and performance of the finished structure.

In summary, the American Concrete Institute specifies that the contractor or concrete supplier is responsible for obtaining concrete cylinders for testing compressive strength. Proper procedures must be followed to ensure accurate results, and collaboration among project stakeholders is vital for maintaining quality and safety.

Learn more about American here:

https://brainly.com/question/2600449

#SPJ11N

According to the field procedures manual for unbonded single strand tendons,all of the following items are necessary for post- tension document control except

Answers

According to the field procedures manual for unbonded single-strand tendons, there are several items that are necessary for post-tension document control.

These include the following: contractor quality control plan, field inspection, and testing plan, post-tensioning installation procedures, post-tensioning stressing procedures, post-tensioning grouting procedures, and post-tensioning shop drawings.

However, the manual does not specify any items that are unnecessary for post-tension document control.

Therefore, it can be concluded that all of the above items are necessary for post-tension document control in accordance with the field procedures manual for unbonded single-strand tendons.

Know more about post-tension document control here:

https://brainly.com/question/31195988

#SPJ11

how many zeros are at the end of (20!)2 when it is written in decimal form? fill in the blanks below to show how to use the result of part (b) to answer this question.

Answers

Thus, there are 8 zeros at the end of (20!)² when it is written in decimal form.

The number of zeros at the end of (20!)² in decimal form can be determined by finding the number of factors of 10 in its prime factorization. We can find the prime factorization of (20!)2 by finding the prime factorization of 20! and then squaring it.

To find the prime factorization of 20!, we can count the number of factors of 2 and 5 that appear in its prime factorization. Since there are more factors of 2 than 5, we only need to count the number of factors of 5.

There are 4 factors of 5 in the prime factorization of 20! (5, 10, 15, and 20).

Therefore, the prime factorization of 20! is 2^18 * 3^8 * 5^4 * 7^2 * 11 * 13 * 17 * 19.

Squaring this prime factorization gives us (20!)² = 2^36 * 3^16 * 5^8 * 7^4 * 11^2 * 13^2 * 17^2 * 19^2. We can see that there are 8 factors of 5 in this prime factorization, so there are 8 zeros at the end of (20!)2 when it is written in decimal form.

Therefore, there are 8 zeros at the end of (20!)² when it is written in decimal form.

Know more about the prime factorization.

https://brainly.com/question/18187355

#SPJ11

Using namespace std; tells the compiler where your program is located nothing what language to use for input and output where to get the definitions of certain objects (variables)

Answers

The statement "using namespace std;" is actually specific to the C++ programming language.

It is used to simplify the code by telling the compiler that all the standard library functions and objects should be included in the global namespace. This means that the programmer does not need to prefix every standard library function or object with "std::". When it comes to input and output, the C++ language has specific functions for this purpose, such as "cin" and "cout". These functions are part of the standard library and are included in the "iostream" header file. The "using namespace std;" statement tells the compiler to include this header file, along with other standard library header files that may be required. In terms of getting the definitions of certain objects, such as variables, this is usually done through the use of header files that contain class definitions and function prototypes.

When a program includes a header file, it can access the objects and functions defined within it. The "using namespace std;" statement does not directly impact this process, but it does make it easier to use standard library objects and functions by avoiding the need to qualify them with the "std::" prefix.  In summary, the "using namespace std;" statement is specific to the C++ programming language and is used to simplify the code by including standard library functions and objects in the global namespace. It does not directly impact input/output or the definition of variables, but it can make it easier to use standard library objects and functions.

Learn more about programming here: https://brainly.com/question/28449122

#SPJ11

*7. 36 Find the input impedance Z of the circuit in Fig. P7. 36 at 400 rad/s. 5 Ω 3 mH a o W Z- 2 mF 내 592 ell 9 mH b Figure P7. 36: Circuit for Problem 7. 36

Answers

The input impedance of the given circuit is solved below:

What is Impedance?

Impedance measures the opposition that a circuit poses to the flow of an alternating current (AC). It combines resistance, capacitance, and inductance, rendering it an intricate number.

Symbolized in ohms (Ω), impedance is represented by a complex figure determined by the magnitude and phase angle. The quantity of impedance determines the degree of opposition to electricity's movement, with the phase angle indicative of the time lag between voltage and current waveforms.

Assessing electric circuits/systems or examining/evaluating electrical components becomes crucial due to the front-and-center role impedance plays.

Read more about impedance here:

https://brainly.com/question/13134405

#SPJ

1) Write a single statement that reads an entire line from stdin. Assign streetAddress with the user input. Ex: If a user enters "1313 Mockingbird Lane", program outputs:

You entered: 1313 Mockingbird Lane

#include

int main(void) {

const int ADDRESS_SIZE_LIMIT = 50;

char streetAddress[ADDRESS_SIZE_LIMIT];

printf("Enter street address: ");

/* Your solution goes here */

printf("You entered: %s", streetAddress);

return 0;

}

Answers

The single statement required is;

fgets (streetAddress, ADDRESS_SIZE_LIMIT, stdin); printf ("You entered: %s", streetAddress);

Why is this so ?

The process of accepting user input in C requires careful attention; avoiding errors related to overflows and determining bulletproof approaches necessitate developers' consideration. The implementation proposed here utilizes a function called fgets().

When executed with the requisite parameters (input stream, maximum character length allowed per string, and an output buffer), it easily captures whole lines from standard inputs.

Employing BUFFER_SIZE_LIMIT-50 prevents errors resulting from overflow situations during data entry.

Learn more about Statement:
https://brainly.com/question/29896309
#SPJ1

Good incinerator design provides for a flue gas residence time of 2 seconds in a liquid incinerator and a gas velocity of 20 ft/s. Using the information provided, determine the inside diameter and length of the incinerator. Incinerator temperature of 26000 F Water vapor and particulate in flue gas are negligible Flue gas behaves ideally Flue gas pressure is 1 atm Flue gas rate of 1,000,000 mol/hr

Answers

However, the inside diameter of the incinerator is  1.823 meters and then the  length is  12.18 meters provides for a flue gas residence time of 2 seconds in a liquid incinerator and a gas velocity of 20 ft/s.

Incinerator calculation.

in order to  determine  diameter and  also length of the incinerator. The formula below can be used.

t = V / (A * u)

T is the residence time, while V  is the volume of the incinerator and A refer to the cross-sectional area of the incinerator,  u refer to  the gas velocity.

There is need to convert  the temperature from Fahrenheit to Kelvin:

T = (26,000 - 32)* (5/9) + 273.15 = 14,199.67 K

use the formula

n=PV/RT

R = 8.3145 J/mol-K

P = 1 atm = 101.325 kPa

n = 1,000,000 mol/hr = 277.78 mol/s

V=nRT/P  = (277.78 mol/s)(8.3145 J/mol-K)(14,199.67 K)/(101.325 kPa * 1000 Pa/kPa) = 32.01 m^3/s

t = 2 s

u = 20 fft/s = 6.096 m/s

A = v/t *u = 32.0 /  = 2.627 m^2

Then we can calculate the length of the incinerator:

L = V / A = 32.01 m^3/s / 2.627 m^2 = 12.18 m

However, the inside diameter of the incinerator is  1.823 meters and then the  length is  12.18 meters provides for a flue gas residence time of 2 seconds in a liquid incinerator and a gas velocity of 20 ft/s.

Learn more about incinerator below.

https://brainly.com/question/31293434

#SPJ4

See pic attached pleasee

Answers

Evaluation is the methodical determination of a subject's validity, worth, and relevance using standards-based criteria.

Thus, It can help an organization, program, design, project, or any other intervention or initiative evaluate any goal, realizable concept or proposal, or any alternative, to aid in decision-making; or to determine the level of achievement or value in relation to the goal and objectives, as well as the outcomes of any such action that has been taken.

In addition to providing insight into past or current projects, evaluation's main goal is to promote introspection and help identify potential areas for future improvement.

In a variety of human endeavours, such as the arts, criminal justice, and other fields, evaluation is frequently used to describe and evaluate topics of interest.

Thus, Evaluation is the methodical determination of a subject's validity, worth, and relevance using standards-based criteria.

Learn more about Evaluation, refer to the link:

https://brainly.com/question/20067491

#SPJ1

A structural component that carries the load in the transverse direction to the longitudinal axis of the member. Is known as ? What are the three types of this component?

Answers

A structural component that carries the load in the transverse direction to the longitudinal axis of the member is known as a beam. The three types of beams commonly used in structural engineering are:

Simply Supported Beam: A simply supported beam is supported at its ends and is free to rotate at those points. It is the most common type of beam used in construction and typically spans between two supports, such as columns or walls. Simply supported beams are subjected to bending stresses when loads are applied, and they are designed to resist bending and shear forces.

Fixed Beam: A fixed beam is supported at both ends and is restrained from rotating at those points. This means that the ends of the beam are rigidly connected to their supports, preventing any rotation. Fixed beams are designed to resist bending, shear, and torsional forces, and they are used in situations where high stability and rigidity are required, such as in building frames or bridge piers.

Cantilever Beam: A cantilever beam is supported at one end and is free to rotate at that point. The other end of the beam is unsupported and projects outward, carrying the load. Cantilever beams are commonly used in situations where one end of the beam needs to be anchored or fixed, while the other end is left unsupported, such as in balconies, canopies, or overhanging structures. Cantilever beams are designed to resist bending and shear forces, and they require careful consideration of their stability and deflection characteristics.

These three types of beams have different structural behaviors and design considerations, and their selection depends on the specific requirements of a given structural system or construction project. Proper design and analysis of beams are crucial in ensuring structural stability and safety in construction projects.

Learn more about  beam   here:

https://brainly.com/question/31324896

#SPJ11

Upon completion of an operation in the structure, what is added to the existing marking ?

Answers

Upon completion of an operation in a structure, a diagonal line should be added to the existing victim marking to indicate that the search and rescue operation in that area is complete.

This is typically represented by drawing a diagonal line across the victim marking symbol.The INSARAG victim marking system is a standardized system used by search and rescue teams to mark the status and location of victims in disaster zones. The victim marking symbols are typically placed on buildings, vehicles, or other structures to indicate whether victims are alive, injured, or deceased.When a search and rescue operation is complete in a particular area or structure, a diagonal line is drawn across the victim marking symbol to indicate that the area has been thoroughly searched and no victims have been found.

To learn more about victim click the link below:

brainly.com/question/30844196

#SPJ11

the 420-turn primary coil of a step-down transformer is connected to an ac line that is 120 v (rms). the secondary coil voltage is 6.50 v (rms). 1) calculate the number of turns in the secondary coil. (express your answer to two significant figures.)

Answers

The number of turns in the secondary coil is approximately 23 turns (rounded to two significant figures).

To calculate the number of turns in the secondary coil of the step-down transformer, you can use the transformer equation:
Primary Voltage / Secondary Voltage = Primary Turns / Secondary Turns
In this case:
120 [tex]V_{rms}[/tex] / 6.50 [tex]V_{rms}[/tex] = 420 turns / Secondary Turns
Now, solve for the Secondary Turns:
Secondary Turns = (420 turns * 6.50 V) / 120 V
Secondary Turns ≈ 22.75
Since you need the answer in two significant figures, the number of turns in the secondary coil is approximately 23 turns.

Learn more about transformer here:https://brainly.com/question/13801312

#SPJ11

1. Is a T-Flip Flop commerically available? If so, draw the pin assignments from the internet. If not, show two ways to create a T-flip flop. 2. How many flip-flops are needed to design a counter that has the following sequence: 12, 20, 1, 0, repeat?

Answers

1. Yes, a T-Flip Flop is commercially available. One such example is the 74LS74 integrated circuit, which is a Dual D-Type Flip Flop with Preset, Clear, and Complementary Outputs. To create a T-Flip Flop using this IC, you can connect the output Q to the input D, and use the CLK input as the T input.

However, if you wish to build a T-Flip Flop from scratch, here are two ways:
a. Using a JK-Flip Flop: Connect the J and K inputs together and use it as the T input. The CLK, Q, and Q' pins remain the same.
b. Using D-Flip Flop and XOR gate: Connect the T input to one input of the XOR gate, connect the output Q to the other input of the XOR gate, and connect the output of the XOR gate to the input D of the D-Flip Flop. The CLK, Q, and Q' pins remain the same.
2. To design a counter with the sequence 12, 20, 1, 0, you need 5 flip-flops. This is because the highest value in the sequence, 20, requires 5 bits to be represented in binary (10100). Additionally, using 5 flip-flops can generate a maximum of 2^5 = 32 states, which is sufficient for the given sequence.

Learn more about T-Flip Flop here

https://brainly.com/question/27970979

#SPJ11

Play with the voltage slider. What happens to the current in the coil and the magnetic field around the coil when you 1) set the voltage of the battery to zero: When you nu will 2) increase the voltage of the battery positively and negatively:

Answers

When you set the voltage of the battery to zero, the current in the coil will stop flowing and the magnetic field around the coil will disappear. When you increase the voltage of the battery positively, the current in the coil will increase proportionally, and the magnetic field around the coil will get stronger. When you increase the voltage of the battery negatively, the current in the coil will decrease proportionally, and the magnetic field around the coil will get weaker.

When you manipulate the voltage slider in the given scenarios, the following effects can be observed:

1) Setting the voltage of the battery to zero: When the voltage is set to zero, there will be no potential difference across the coil. Consequently, the current flowing through the coil will be zero, and the magnetic field generated around the coil will also be nonexistent.

2) Increasing the voltage of the battery positively and negatively: When you increase the voltage positively, the current flowing through the coil will increase as well, resulting in a stronger magnetic field around the coil. Conversely, when you increase the voltage negatively (i.e., reverse the polarity), the direction of the current flow in the coil will change, and this will cause the magnetic field around the coil to reverse its direction as well.

To learn more about magnetic field visit;

https://brainly.com/question/23096032

#SPJ11

water flows uniformly half-full in a 2-m-diameter circular channel that is laid on a grade of 1.75 m/km. if the channel is made of finished concrete, determine the flow rate of the water

Answers

To determine the flow rate of water in a 2-m-diameter circular channel laid on a grade of 1.75 m/km and made of finished concrete is calculated as 3.93 [tex]m^3/s.[/tex]

We can use the Manning equation can be expressed as:Q = [tex](1/n) * A * R^(2/3) * S^(1/2)[/tex]

Where Q is the flow rate, n is the Manning roughness coefficient, A is the cross-sectional area of the channel, R is the hydraulic radius, and S is the slope of the channel.

Assuming that the channel is running half-full, the cross-sectional area can be calculated as:

A = [tex](π/4) * D^2 * sinθ[/tex]

A =[tex](π/4) * (2m)^2 * sin(180°/2)[/tex]

A = [tex]1.57 m^2[/tex]

The hydraulic radius can be calculated as:

R = A/P

R =[tex]A/(π*D)[/tex]

R = 0.25 m

Given that the slope of the channel is 1.75 m/km or 0.00175, and assuming a roughness coefficient of 0.013 for finished concrete channels, the flow rate can be calculated as:

Q = [tex](1/0.013) * 1.57 * (0.25)^(2/3) * (0.00175)^(1/2)[/tex]

Q = [tex]3.93 m^3/s[/tex]

Therefore, the flow rate of water in the given channel is 3.93 [tex]m^3/s.[/tex]

For more questions on flow rate

https://brainly.com/question/30618961

#SPJ11

A plane wall of a furnace is fabricated from plain carbon steel (k = 60 W/m middot K, p = 7850 kg/m3, c = 430 J/kg middot K) and is of thickness L = 10 mm. To protect it from the corrosive effects of the furnace combustion gases, one surface of the wall is coated with a thin ceramic film that, for a unit surface area, has a thermal resistance of R t,f = 0. 01 m2 K/W. The opposite surface is well insulated from the surroundings

Answers

The values required have been solved for in the space below

How to solve for the surface

Solve for U

= 1 / 25 + 10⁻²

= 20 W/m².K

Bi = 20 x 10 * (1 / 1000) / 60

= 0.0033

Solve for the temperature difference

- (7850 x 430 x 10mm x (1 / 1000) / 20 W/m².K ) * ln1200 - 1300 / 300 - 1300

= 3886 s

convert to hours

= 1.08 hr

The time required to get the temperature 1200 K is 1.08hr .

The outer surface of ceramic film

= 1200 / 10⁻² + 25 W/m².K(1300K) / 25 + 1 / 10⁻²

= 1220

Read more on on combustion gases herehttps://brainly.com/question/13251946

#SPJ4

Links CD and BE have a 1/8 x 1/4 uniform rectangular cross section and each of the pins (at C, D, B, and E) have a 1/4 diameter as shown. Determine the maximum average normal stress in each of the links when P = 50lbs. Specify whether the stress is tensile or compressive.

Answers

The maximum average normal stress in each of the links is: σ = (25lbs) / (1/32 sq. in.) = 1600 psi Since the stress is determined by the cross-sectional area, and not the direction of the force, the stress is compressive for both links.

To determine the maximum average normal stress in links CD and BE, we will first calculate the cross-sectional area of the links and the area of the pins. Then, we will divide the force P by these areas to find the stress in each link and identify whether it is tensile or compressive.
1. Cross-sectional area of links CD and BE:
A = width × height = (1/8) × (1/4) = 1/32 in²
2. Diameter of pins at C, D, B, and E:
D = 1/4 in
Since both links have the same cross-sectional area, they will experience the same normal stress.
3. Calculate the maximum average normal stress in links CD and BE:
σ = P/A = (50 lbs) / (1/32 in²) = 1600 psi
As there is no information provided on the direction of force P, we cannot determine if the stress in each link is tensile or compressive. If P causes tension in the links (pulling them apart), the stress would be tensile. If P causes compression (pushing them together), the stress would be compressive.

Learn more about tensile here: https://brainly.com/question/14293634

#SPJ11

An IC CS amplifier has Im 3 mA/V, Cgs = 25 fF, Cgd = 5 fF, Cų = 30 fF, Rsig 10 kl, and Rſ = 20 ks. Use the method of open-circuit time constants to obtain an estimate for fu. Also, find the frequency of the transmission zero fz

Answers

The frequency is given as 94.45 GHz

What is Frequency?

In various areas of science and engineering, such as electromagnetism, mechanics, and signal processing, frequency plays a significant role. It signifies the number of times that an event occurs within a certain time frame.

The field of physics describes it as the number of cycles present in a wave pattern for every second, quantified in Hertz (Hz). For instance, if a soundwave undergoes 440 cycles per second, its frequency equals to 440 Hz - this measurement system is immensely vital in understanding periodic occurrences.


Read more about frequency here:

https://brainly.com/question/254161

#SPJ4

a quality control engineer is testing the battery life of a new smartphone. the company is advertising that the battery lasts 24 hours on a full-charge, but the engineer suspects that the battery life is actually less than that. they take a random sample of 50 of these phones to see if their average battery life is significantly less than 24 hours.

Answers

To test if the average battery life of the new smartphones is significantly less than the engineer can use a one-sample t-test.

where μ is the hypothesized population mean (24 hours), n is the sample size (50), and sqrt represents the square root function.They can then use a t-distribution table (with n-1 degrees of freedom) to find the p-value associated with the t-statistic. If the p-value is less than the significance level (typically 0.05), then the engineer can reject the null hypothesis and conclude that the population mean battery life is significantly less than 24 hours.If the p-value is greater than the significance level, then the engineer fails to reject the null hypothesis and cannot conclude that the population mean battery life is significantly less than 24 hours.It's important to note that this test assumes that the sample is randomly selected and that the battery life measurements are normally distributed. The engineer should also consider other factors that may affect the battery life, such as phone usage, temperature, and other external factors.

To learn more about engineer click on the link below:

brainly.com/question/23305095

#SPJ11

An electrician must cut a groove into a wood beam to run Romex to a certain location. If the groove is cut into the beam 1-1/8", a ______________ at least 1/16" thick is required to protect the cable.

Answers

An electrician must cut a groove into a wood beam to run Romex to a certain location. If the groove is cut into the beam 1-1/8", a metal plate at least 1/16" thick is required to protect the cable.

When an electrician cuts a groove into a wood beam to run Romex to a certain location, the groove weakens the beam's structural integrity. If the groove is cut into the beam 1-1/8", it leaves only a small amount of wood on either side of the groove, which can easily split or break under pressure.

To prevent this from happening, a metal plate at least 1/16" thick is required to protect the cable. The metal plate is typically made of steel and is placed over the groove, securing the Romex in place and providing reinforcement to the weakened wood beam.Therefore, when cutting a groove into a wood beam to run Romex, it is essential to use a metal plate to protect the cable and reinforce the weakened wood beam.

To know more about structural integrity visit:

https://brainly.com/question/28447414

#SPJ11

Technician A says bleeding an ABS is fundamentally the same as bleeding a non-ABS hydraulic system. Technician B says some variety exists in extra steps that may be required for different systems. Who is correct

Answers

Technician A says bleeding an ABS is fundamentally the same as bleeding a non-ABS hydraulic system. Technician B says some variety exists in extra steps that may be required for different systems.

Both Technician A and Technician B are correct to some extent. Bleeding an ABS (Anti-lock Braking System) does involve the same basic principles as bleeding a non-ABS hydraulic system, such as removing air bubbles from the brake lines. However, Technician B is also correct that there may be some additional steps or variations depending on the specific ABS system in place. Some vehicles require the use of specialized equipment or procedures to properly bleed the ABS.

Learn more about hydraulic: https://brainly.com/question/21634180

#SPJ11

The oil window (temperature range wherein organic matter is converted to petroleum without destroying it) lies between ____________.
A. 200 to 350 °C
B. 100 to 250 °C
C. 90 to 160 °C
D. 30 to 60 °C

Answers

The oil window lies between 90 to 160 °C.

The oil window is the temperature range in which organic matter is converted to petroleum without destroying it. This temperature range lies between 30 to 60 °C.

It is important to note that this temperature range is specific to the type of organic matter being converted and the specific geological conditions present in a given area. Temperature is a critical factor in the formation of petroleum as it controls the rate of chemical reactions that transform the organic matter into hydrocarbons. If the temperature is too high, the organic matter will be destroyed, and if it is too low, the reactions will not occur at a significant rate. Therefore, understanding the oil window is crucial in determining the potential for petroleum formation in a particular geological region.

To learn more about temperature visit;

https://brainly.com/question/11464844

#SPJ11

A program repeatedly performs a three-step process: It reads in a 4KB block of data from disk, does some processing on that data, and then writes out the result as another 4KB block elsewhere on the disk. Each block is contiguous and randomly located on a single track on the disk. The disk drive rotates at 7200RPM, has an average seek time of 8ms, and has a transfer rate of 20MB/sec. The controller overhead is 2ms. No other program is using the disk or processor, and there is no overlapping of disk operation with processing. The processing step takes 20 million clock cycles, and the clock rate is 400MHz. What is the overall time needed to process the 4KB block assuming no other overhead?

Answers

The overall time needed to process the 4KB block can be calculated by considering the time taken by each step of the process. The overall time needed to process the 4KB block is 0.45ms.

Firstly, the time taken to read in the 4KB block of data from disk can be calculated as follows:
- Transfer rate = 20MB/sec = 20,000KB/sec
- Time taken to transfer 4KB block = (4KB / 20,000KB/sec) * 1000 = 0.2ms
Secondly, the time taken to do the processing on the data can be calculated as follows:
- Clock cycles required = 20 million
- Clock rate = 400MHz = 400 million cycles/sec
- Time taken for processing = (20 million / 400 million) = 0.05ms
Finally, the time taken to write out the result as another 4KB block elsewhere on the disk can be calculated as follows:
- Transfer rate = 20MB/sec = 20,000KB/sec
- Time taken to transfer 4KB block = (4KB / 20,000KB/sec) * 1000 = 0.2ms
Adding the times taken for each step, we get the overall time needed to process the 4KB block as:
0.2ms + 0.05ms + 0.2ms = 0.45ms

Learn more about time here

https://brainly.com/question/26046491

#SPJ11

When showing a blind drilled hole (a hole ending within the feature) it is customary to show the slant at the end of the hole at 45 degrees. T/F

Answers

True. When showing a blind drilled hole that ends within the feature, it is customary to show the slant at the end of the hole at a 45-degree angle. This is done to indicate that the hole does not go all the way through the feature.

When showing a blind drilled hole that ends within a feature, it is common practice to show a slanted section at the end of the hole to indicate that the hole is not a through hole. The slanted section is typically shown at a 45-degree angle to the axis of the hole, although other angles may also be used depending on the application and design requirements. The purpose of the slanted section is to provide a clear visual indication of the depth of the hole and to prevent confusion with through holes or other features on the part.

Learn more about customary  about

https://brainly.com/question/1078986

#SPJ11

Air has been removed form the XRay tube why?

Answers

The X-ray tube is devoid of air to stop the creation of dispersed radiation. Radiation that is dispersed affects image quality and exposes patients to more radiation.

X-rays can be absorbed, transmitted, or dispersed when they travel through material. When X-rays interact with the material's atoms and alter course, scattering results. This may cause the X-rays to enter the detector from various angles, obscuring the image and lowering contrast. Since it has a low density, air can greatly scatter X-rays. As a result, while it is inside the X-ray tube, it may emit dispersed radiation that obstructs the creation of images. Air is therefore removed from the X-ray tube in order to enhance the quality of the X-ray images and reduce patient exposure. As a result, images are crisper and sharper because the X-rays can move directly from the anode to the target without deviating.

learn more about X-ray tube here:

https://brainly.com/question/30247302

#SPJ11

Question 22
Marks: 1
The EPA requires that toxic waste incinerators achieve a destruction and removal rate of ______ before the material is landfilled.
Choose one answer.

a. 99.99 percent

b. 95.00 percent

c. 98.00 percent

d. 15.00 percent

Answers


The correct answer to the question is a. 99.99 percent The EPA, or Environmental Protection Agency, is responsible for regulating the disposal of hazardous waste in the United States. One of the requirements for toxic waste incinerators is to achieve a destruction and removal rate, or DRE, before the material can be safely landfilled.

The DRE represents the percentage of hazardous waste that is destroyed through the incineration process. This means that the incinerator must be able to destroy at least 99.99 percent of the hazardous waste before it can be disposed of in a landfill. This high DRE requirement ensures that as little hazardous waste as possible is left over after incineration, minimizing the risk of environmental contamination and harm to public health.

In summary, the EPA requires a high DRE rate for toxic waste incinerators to ensure that hazardous waste is effectively and safely disposed of, minimizing the risk of waste-related environmental destruction and harm.

Learn more about toxic here:

https://brainly.com/question/7316107

#SPJ11

q8: (gearing) (15%) when a motor (with motor rotator inertia jm) is driving a load (with inertia jl) through a gearhead with a gear ratio r. (a) to maximize the acceleration of the load, what gear ratio, r, should we use? (b) to maximize the acceleration of the motor shaft itself, what gear ratio, r, should we use? larger, equal or less than the answer provided in (a)? (c) to minimize the power going into the motor inertia, what gear ratio, r, should we use? larger, equal or less than the answer provided in (a)?

Answers

a) To maximize the acceleration of the load, we should choose a gear ratio that provides maximum mechanical advantage, i.e., a gear ratio that reduces the load inertia as much as possible. The effective inertia reflected to the motor side is given by:

Since we want to maximize the acceleration, we need to maximize the torque generated by the motor. The torque generated by the motor is proportional to the current flowing through the motor, which is limited by the maximum current rating of the motor. Therefore, to maximize the torque, we need to choose a gear ratio that maximizes the torque output of the motor at the maximum allowed current.Assuming that the motor torque constant is Kt and the maximum allowed current is Imax, the maximum torque output of the motor is:

T_acc = T_load - T_fr = T_max/r - T_frSubstituting this expression intthe equation for acceleration, we get:a = (T_max/r - T_fr)/(jm + jr*(jl/r^2)To maximize the acceleration, we need to maximize the expression in the numerator. Differentiating with respect to r, we get:(jl/r^2))^2Setting da/dr to zero and solving for r, we get:r = sqrt(jl/jr)Therefore, to maximize the acceleration of the load, we should choose a gear ratio r that is equal to the square root of the load inertia divided by the gearhead inertia(b) To maximize the acceleration of the motor shaft itself, we need to choose a gear ratio that minimizes the reflected inertia seen by the motor. The reflected inertia is given by the same expression as before:J = (jm + jr*(jl/r^2))The acceleration of the motor shaft is given by:a_m = (T_m - T_fr)/jmwhere T_m is the torque generated by the motor.To maximize the acceleration of the motor shaft, we need to maximize the torque output of the motor at the motor shaft. This torque is given by:T_m = T_load*rSubstituting this expression into the equation for acceleration, we get:a_m = (T_load*r - T_fr)/jmSubstituting the expression for T_load and simplifying, we get:a_m = (T_max - T_frr^2)/(jmr)To maximize the acceleration of the motor shaft, we need to maximize the expression in the numerator. Differentiating with respect to r, we get:da_m/dr = (-2T_frr)/(jmr^2) + (T_maxr)/(jm*r^2)Setting da_m/dr to zero and solving for r, we get:r = sqrt(T_max/T_fr)Therefore, to maximize the acceleration of the motor shaft, we should choose a gear ratio r that is equal to the square root of the maximum torque divided by the friction torque.Since the gear ratio that maximizes the acceleration of the load (r = sqrt(jl/jr)) and the gear ratio that maximizes the acceleration of the motor shaft (r = sqrt(T_max/T_fr)) have different expressions

To learn more about acceleration click on the link below:

brainly.com/question/21439277

#SPJ11

suppose there exist two distinct maximum flows f1 and f2. show that there exist infinitely manymaximum flows.

Answers

If there exist two distinct maximum flows f1 and f2, then it means that both flows have the same maximum flow value. Let's call this maximum flow value "F".

Now, let's consider the flow f3 = f1 + t(f2 - f1), where t is a positive real number. This flow can be interpreted as a linear combination of f1 and f2, where the flow along each edge is a weighted average of the corresponding flows in f1 and f2.

It can be shown that f3 is also a valid flow, since it satisfies the conservation constraints and capacity constraints. Moreover, the value of f3 is given by:

|f3| = |f1 + t(f2 - f1)| = |f1| + t|f2 - f1| = F

This means that f3 is also a maximum flow, with the same maximum flow value as f1 and f2. Since t can take on any positive real value, we can generate an infinite number of flows that are all maximum flows with flow value F.

Therefore, we have shown that if there exist two distinct maximum flows f1 and f2, then there exist infinitely many maximum flows.

Learn more about maximum flows: https://brainly.com/question/1176850

#SPJ11

An auxiliary grounding electrode is permitted to be the only grounding connection for electronic equipment when noise on the equipment grounding circuit is a problem. a) True b) False

Answers

False. An auxiliary grounding electrode alone is not sufficient as the only grounding connection for electronic equipment, even when noise on the equipment grounding circuit is a problem.

According to the National Electrical Code (NEC), grounding electrode systems are designed to provide a low-impedance path for fault current to flow to the earth, which protects equipment and people from electrical hazards. Grounding electrodes, such as grounding rods, are only one part of a complete grounding system that includes grounding conductors and bonding jumpers.The NEC requires that all electronic equipment be grounded using an equipment grounding conductor that is connected to the main grounding electrode system. The use of an auxiliary grounding electrode in addition to the main grounding electrode system is permitted, but it cannot be used as the only grounding connection for electronic equipment.

To learn more about connection click on the link below:

brainly.com/question/31494083

#SPJ11

Other Questions
The weights of boxes of cereal filled at a plant, X, have an expected value of 32 ounces and a standard deviation of 1.5 ounces. The weight of any box is considered to be independent of the weight of any other box. For shipping purposes, 25 boxes are packaged together. Determine the expected weight of a package of 25 boxes. Which structure are found at the hilus of the sheep kidney? A new antibiotic has been identified that targets EF-Tu. Which of the following steps of translation would be directly affected by this antibiotic? (1 point) a. Dissociation of the 30S and 50S ribosomal subunits. b. Movement of the ribosome along the mRNA. c. Binding of a charged tRNA to the A site. d. Formation of the peptide bond. e. Release of the polypeptide from the ribosome. 2. In eukaryotes, formation of a peptide bond during translation is catalyzed by (1 point) a. one of the eEFs. b. the tRNA sitting in the P site of the ribosome. c. 28S rRNA in the 60S ribosomal subunit. d. the Kozak sequence. a ribosomal protein in the 40S subunit. f. aminoacyl-tRNA synthetase. 3. How many different trisomies are possible in the fruit fly (Drosophila melanogaster)? (0.5 point) a. 4 b. 5 c. 8 d. 10 e. 12 f. 16 e. 38 years woman with no significant pmh come today to your consultation 0 gradually weight gain, fatigue, cold intolerance and amenorrhea. the 'regriancy test is negative. wbc within normal values and you, as her nurse practitioner, suspect your patient may suffer from hypothyroidism what lab rders should you order for this case? Assume that based on the data collected, you conduct a test of hypothesis to see if the true mean is below the desired specification and obtain a p-value of 0.095 (please note that this value might not match the answer you selected in the previous question). Complete the conclusion of this test by selecting the correct choice to fill in the blanks in the statement below: There is __________ evidence supporting the claim that __________ is __________ 57 Pa. There are three colors of snapdragons, solve for all the values if there are 100 red flowers, 800 pink flowers, and 100 white flowers. Solve for the alleles. To hold down distribution cost, the lowest cost carrier should always be used.a. trueb. false A study was conducted to explore the relationship between dietary anti-oxidant intake (Vitamin A and Vitamin E) and the risk of having colon cancer. 120,000 people, aged 20-70 years, were selected at random from the total population living in Melbourne in 1987 and invited to join the study. 110,700 of those invited agreed to participate. Participants were interviewed about their dietary intake using food frequency questionnaire so researchers can calculate the amount of anti-oxidant in the diet. Other health risk factors such as smoking, exercise and stress and demographics were also asked at start. Every two years thereafter participants were contacted and asked the same questionnaire. At the end of the study, 10 years later, study researchers were still in contact with 64% of the study population. Outcome data (cancer episode and site) were available for 97% of the original study population from the Victorian Cancer Registry. The study found that the risk of cancer was 2% lower among people with a higher intake of anti-oxidant vitamins, compared to those with lower intakesWhat study design it is [2 marks]What are the key points that led you to think that this is the design [2 marks]What study design would be more efficient in terms of time and cost for asking the same research question? Explain no more than 100 words [2 marks] rewrite the following sentence with the correct direct object pronoun: tyler y einstein buscan las llaves: forward propagation is simply the summation of the previous layer's output multiplied by the weight of each wire, while back-propagation works by computing the partial derivatives of the cost function with respect to every weight or bias in the network. in back propagation, the network gets better at minimizing the error and predicting the output of the data being used for training by incrementally updating their weights and biases using stochastic gradient descent. we are trying to estimate a continuous-valued function, thus we will use squared loss as our cost function and an identity function as the output activation function. is the activation function that is called on the input to our final layer output node, and is the predicted value, while is the actual value of the input. (6.1) (6.2) when you're done implementing the function train (below and in your local repository), run the script and see if the errors are decreasing. if your errors are all under 0.15 after the last training iteration then you have implemented the neural network training correctly. you'll notice that the train function inherits from neuralnetworkbase in the codebox below; this is done for grading purposes. in your local code, you implement the function directly in your neural network class all in one file. the rest of the code in neuralnetworkbase is the same as in the original neuralnetwork class you have locally. Interconv problems ... Interconversion problems between kinetic energy and potential energy 1. An object has a mass of 25 kilograms: to. How much is the potential energy if the height is 30 m. b. How much is the kinetic energy at a height of 30 m. If the object is in repose? c. How much is the kinetic energy if the object low at 15 m.? d. How much are the kinetic energy and potential energy when the height is 5 m? and. How much is the kinetic energy and the potential energy of the object just before touch the floor (that is, when the height is 0)? 2. An object has a mass of 56 kilograms: How much is the energy power if the height is 37 m. b. How much is the kinetic energy at a height of 37 m. If the object is in repose? c. How much is the kinetic energy if the object under 25 m. d. How much are the kinetic energy and potential energy when the height is 10 m.? and. How much is the kinetic energy and the potential energy of the object just before touch the floor (that is, when the height is 0)? 3. An object has a mass of 41 kilograms: to. How much is the potential energy if the height is 42 m. b. How much is the kinetic energy at a height of 42 m. If the object is in repose? c. How much is the kinetic energy if the object dropped to 36 m. d. How much are the ki netic energy and potential energy when the height is 18 m.? and. How much is the kinetic energy and the potential energy of the object just before touch the floor (that is, when the height is 0)? 4. An object has a mass of 52 kilograms: to. How much is the potential energy if the height is 38 m. b. How much is the kinetic energy at a height of 38 m. If the object is in repose? c. How much is the kinetic energy if the object dropped to 23 m. d. How much are the kinetic energy and potential energy when the height is 12 m? and. How much is the kinetic energy and the potential energy of the object just before touch the floor (that is, when the height is 0)? #1 Which set of transformations correctly maps BOW to TIE? Find the solution of the system of equations.-10x9y = 108x +9y = 10 Pls The first text message was sent on December 3, 1992. Two decades later, texting has become one of the most popular methods of communication. The number, in millions, of SMS messages sent per year in the United Kingdom is given in the table below. In 2012, the first decrease occurred in the number of SMS messages in the UK and was attributed to the unveiling of Apples iMessage on June 6, 2011. Find an exponential model for the number of SMS messages sent annually for years before 2012.Year 2003 2005 2007 2009 2010 2011SMS 24086 39751 66331 104358 128462 150651in millions Nora is going to invest in an account paying an interest rate of 6.4% compoundeddaily. How much would Nora need to invest, to the nearest hundred dollars, for thevalue of the account to reach $72,000 in 16 years? Two parallel sides of a rectangle are being lengthened at the rate of 2 in/sec, while the other two sides are shortened in such a way that the figure remains a rectangle with constant area of 50 in2. What is the rate of change of the perimeter when the length of an increasing side is 5 in? Is the perimeter increasing or decreasing? persuasive essay topic:why phones should be allowed during school time Soils of the world are classified into 11 orders. The orders are based on soil characteristics.(1) The Carolinas (North and South) are dominated by ____ order. List the characteristics of this soil order. soil(2) List the soil orders that dominate the Australian continent. (a) Given a 3 x 3 matrix [A]= x 15 72 3 50 1 3compute the value of x if [A] is not invertible.(b) Determine the eigenvalues and its corresponding eigenvectors of matrix [A] Read the sentence from paragraph 3.While in South Dakota, Davids founded the Hoka! CoffeeCompany and helped secure government funding to buildadditional housing on the reservation.Use the drop-down menus to select the words that mean the same thing as secure and reservationas they are used in the sentence.While in South Dakota, Davids founded the Hoka! Coffee Company and helpedgovernment funding to build additional housing on the