Arm ab has a constant angular velocity of 16 rad/s counterclockwise. At the instant when theta = 60

Answers

Answer 1

The linear acceleration of collar D when θ = 60° is - 693.867 inches per square second.

How to determine the angular velocity of a collar

In this question we have a system formed by three elements, the element AB experiments a pure rotation at constant velocity, the element BD has a general plane motion, which is a combination of rotation and traslation, and the ruff experiments a pure translation.

To determine the linear acceleration of the collar ([tex]a_{D}[/tex]), in inches per square second, we need to determine first all linear and angular velocities ([tex]v_{D}[/tex], [tex]\omega_{BD}[/tex]), in inches per second and radians per second, respectively, and later all linear and angular accelerations ([tex]a_{D}[/tex], [tex]\alpha_{BD}[/tex]), the latter in radians per square second.

By definitions of relative velocity and relative acceleration we build the following two systems of linear equations:

Velocities

[tex]v_{D} + \omega_{BD}\cdot r_{BD}\cdot \sin \gamma = -\omega_{AB}\cdot r_{AB}\cdot \sin \theta[/tex] (1)

[tex]\omega_{BD}\cdot r_{BD}\cdot \cos \gamma = -\omega_{AB}\cdot r_{AB}\cdot \cos \theta[/tex] (2)

Accelerations

[tex]a_{D}+\alpha_{BD}\cdot \sin \gamma = -\omega_{AB}^{2}\cdot r_{AB}\cdot \cos \theta -\alpha_{AB}\cdot r_{AB}\cdot \sin \theta - \omega_{BD}^{2}\cdot r_{BD}\cdot \cos \gamma[/tex] (3)

[tex]-\alpha_{BD}\cdot r_{BD}\cdot \cos \gamma = - \omega_{AB}^{2}\cdot r_{AB}\cdot \sin \theta + \alpha_{AB}\cdot r_{AB}\cdot \cos \theta - \omega_{BD}^{2}\cdot r_{BD}\cdot \sin \gamma[/tex] (4)

If we know that [tex]\theta = 60^{\circ}[/tex], [tex]\gamma = 19.889^{\circ}[/tex], [tex]r_{BD} = 10\,in[/tex], [tex]\omega_{AB} = 16\,\frac{rad}{s}[/tex], [tex]r_{AB} = 3\,in[/tex] and [tex]\alpha_{AB} = 0\,\frac{rad}{s^{2}}[/tex], then the solution of the systems of linear equations are, respectively:

Velocities

[tex]v_{D}+3.402\cdot \omega_{BD} = -41.569[/tex] (1)

[tex]9.404\cdot \omega_{BD} = -24[/tex] (2)

[tex]v_{D} = -32.887\,\frac{in}{s}[/tex], [tex]\omega_{BD} = -2.552\,\frac{rad}{s}[/tex]

Accelerations

[tex]a_{D}+3.402\cdot \alpha_{BD} = -445.242[/tex] (3)

[tex]-9.404\cdot \alpha_{BD} = -687.264[/tex] (4)

[tex]a_{D} = -693.867\,\frac{in}{s^{2}}[/tex], [tex]\alpha_{BD} = 73.082\,\frac{rad}{s^{2}}[/tex]

The linear acceleration of collar D when θ = 60° is - 693.867 inches per square second. [tex]\blacksquare[/tex]

Remark

The statement is incomplete and figure is missing, complete form is introduced below:

Arm AB has a constant angular velocity of 16 radians per second counterclockwise. At the instant when θ = 60°, determine the acceleration of collar D.

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Arm Ab Has A Constant Angular Velocity Of 16 Rad/s Counterclockwise. At The Instant When Theta = 60

Related Questions

Hello~
Which of the following produces least friction?
(a) Sliding friction
(b) Rolling friction
(c) Composite friction
(d) Static friction

Answers

Answer:

Rolling friction

Explanation:

When a object rolls down the all sides of object comes contact to under surface for very low timeFor which the friction decreases .

Option B is correct

A car of mass 1200kg moving 90km/hr is brought to rest over a distance of 20m. calculate breaking force.

Answers

Answer:

-18,750N

Explanation:

90x1000

-------------

3600

u=25m/s

v=0m/s

v^2=u^2+2as

v=0

=625+(2×a×20)

625+40a

-625=40a

a= -15.625 m/s^2

F=ma

=(1200)(-15.625)

= -18,750N

Is the moons diameter about the same as the United States

Answers

Answer:

the Moon is smaller in diameter than the United States

however. The United States is 2,545 km / 1,582 mi from north to south, and thus, the Moon is smaller across than the United States is wide.

Answer:

The moon is smaller than the earth.

Explanation:

Moon's Diameter is 2,159.1 mi

Earth's Diameter is 7,917.5 mi

25. How long does it take a child on a swing to complete one swing if her center of gravity is 4.00 m below the pivot?

Please include all of your steps with the solution.

Answers

Length=l=4m

[tex]\\ \rm\rightarrowtail T=2\pi\sqrt{\dfrac{l}{g}}[/tex]

[tex]\\ \rm\rightarrowtail T=2\pi\sqrt{\dfrac{4}{9.8}}[/tex]

[tex]\\ \rm\rightarrowtail T=2\pi(0.63887)[/tex]

[tex]\\ \rm\rightarrowtail T=1.27774\pi [/tex]

[tex]\\ \rm\rightarrowtail T=4.012s[/tex]

Use F = 1/T as your basis:
8. If your heart rate is 150 beats per minute during strenuous exercise, what is the time per beat in units of seconds?

The answer is 0.400 s/beats but please show your work.

Answers

Heart rate is given by

150beats/min

Convert to per second

150/60=5/2=2.5beats/s

Now

Frequency:-

[tex]\\ \rm\rightarrowtail \nu=\dfrac{1}{T}[/tex]

[tex]\\ \rm\rightarrowtail \nu=\dfrac{1}{2.5}[/tex]

[tex]\\ \rm\rightarrowtail \nu=0.4Hz[/tex]

3 Select the correct answer.
Which of the following statements is TRUE? А. Children in the US are generally given the opportunity to play sports in school starting at a young age.
B. The US is one of the few countries to integrate sports into their school systems.
C. Most high schools and colleges in the US have various sport teams.
D. All of the above

Answers

Answer:

A,B,C

Explanation:

because that is true

According to Newton's second law for rotational motion, an object's angular
acceleration equals the
(A) net torque multiplied by the moment of inertia.
(B) net moment of inertia divided by the net torque.
(C) net torque divided by the moment of inertia.
(D) net torque added to the moment of inertia.

Answers

Answer:

C: Net Torque divided by Moment of Inertia

Explanation:

Torque = Moment of Inertia x Angular Acceleration.

According to Newton's second law for rotational motion, an object's angular acceleration equals the net torque multiplied by the moment of inertia, not divided by it. The correct answer is (A)

Mathematically, it can be expressed as:

Angular acceleration (α) = (Net torque (τ) / Moment of inertia (I))

Where:

α = angular acceleration (measured in rad/s²)

τ = net torque (measured in Nm or kgm²/s²)

I = moment of inertia (measured in kgm²)

This equation shows that the angular acceleration of an object is equal to the net torque applied to it divided by its moment of inertia. So, the correct answer is (A) net torque multiplied by the moment of inertia.

To summarize, Newton's second law for rotational motion states that the angular acceleration of an object is directly proportional to the net torque applied to it and inversely proportional to its moment of inertia. The moment of inertia represents an object's resistance to changes in its rotational motion, while the net torque represents the total rotational force acting on the object.

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Which is the destructive interference formula for diffraction grating problems? dsin = dcos = dcos = n dsin = n.

Answers

The destructive interference formula for diffraction grating problems is [tex]d sin \theta = (n+\frac{1}{2})\lambda[/tex].

What is the definition of destructive interference?

Destructive interference happens when the maxima of two waves are 180° out of phase a positive displacement of one wave is canceled exactly by a negative displacement of the other wave.

The formula for brighter patches resulting from constructive interference and darker patches resulting from destructive interference in a diffraction grating is:

[tex]\rm d sin \theta = n \lambda[/tex]

The grating spacing is denoted by d, the angle of light is denoted by a the fringe order is denoted by n, and the wavelength is denoted by [tex]\rm \lambda[/tex].

The destructive interference formula is now based on the fact that destructive interference occurs between the fringes.

Hence the destructive interference formula for diffraction grating problems is [tex]d sin \theta = (n+\frac{1}{2})\lambda[/tex].

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Answer:

A. dsin =

Explanation:

A car with a mass of 1,500 kg accelerates at a rate of 3.0
/s2 forward. What is the force acting on the car? Show work.

Answers

Answer:

4500 N

Explanation:

F = ma

= 1500 kg * 3 m/s^2 = 4500 N

edited to correct units !

A 1000 kg rocket carrying 25 kg of fuel and oxygen rises at a velocity of 305 m/s. If all the mass of fuel and oxygen is burned to form gases of combustion, what is the downward velocity of these gases?

Answers

If all the mass of fuel and oxygen is burned to form gases of combustion, the downward velocity of these gases would be 12,505 m/s.

Conservation of linear momentum

The principle of conservation of linear momentum states that, the total momentum of an isolated system is constant.

The downward velocity of thes gases is calculated as follows;

v1(m1 + m2) = v2(m2)

305(1000 + 25) = v2(25)

312,625 = 25v2

v2 = 312,625/25

v2 = 12,505 m/s

Thus, If all the mass of fuel and oxygen is burned to form gases of combustion, the downward velocity of these gases would be 12,505 m/s.

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A compound wall consists of parallel layers of two different materials, 10 cm of brick and 2 cm of wood. If the difference of temperature across the brick wall is 20° C calculate the temperature difference between the wooden wall and heat current per square metre of the wall. [Thermal conductivity of brick and wood are respectively 0.5Wm-K- and 0.125Wm-'K']

Answers

The temperature difference between the wooden wall is 16⁰C, and the heat current per square metre of the wall is 7,325 W/m².

Temperature difference between the wooden wall

The temperature difference between the wooden wall is calculated as follows;

Let the brick wall = wall ALet the wooden wall = wall BLet the area of the walls = A

[tex]\frac{dQ_A}{dt } = \frac{dQ_B}{dt} \\\\\frac{K_A \Delta T_A \times A}{L_A} = \frac{K_B \Delta T _B \times A}{L_B}\\\\\frac{K_A \Delta T_A }{L_A} = \frac{K_B \Delta T _B}{L_B}\\\\\frac{0.5 \times 20}{0.1} = \frac{0.125 \times \Delta T _B }{0.02} \\\\100 = 6.25\Delta T _B\\\\\Delta T _B = \frac{100}{6.25} \\\\\Delta T _B = 16 \ ^oC[/tex]

Heat flowing in the walls

Q = KL(ΔT)

Q = 0.5 x 0.1 x (20 + 273)

Q = 14.65 W

Heat current per square meter of the Walls

QA = W/A

QA = (14.65)/A

Let the area of the wall = 10 cm x 2 cm = 0.1 m x 0.02 m = 0.002 m².

QA = 14.65/0.002

QA = 7,325 W/m²

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A 50,0 g silver spoon at 20.0°C is placed in a cup of coffee at
90.0°C. How much heat does the spoon absorb from the coffee to
reach a temperature of 89.0°C?

Answers

The heat capacity of the silver spoon at the given temperature difference is 817.65 J.

Heat capacity of the silver spoon

The heat capacity of theb silver spoon is the quantity of heat absorbed by the silver spoon. The heat capacity of the silver spoon at the given temperature difference is calculated as follows;

Q = mcΔθ

where;

m is mass of the spoonc is specific heat capacity of silver = 0.237 J/g⁰CΔθ is change in temperature

Q = 50 x 0.237 x (89 - 20)

Q = 817.65 J

Thus, the heat capacity of the silver spoon at the given temperature difference is 817.65 J.

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Item 1
The figure presents a block on a horizontal surface attached to a horizontal spring. The other end of the spring is attached to a wall. The spring is labeled 50 newtons per meter, and the box is labeled 0.5 kilogram. The horizontal position of the center of spring is x equals negative 0.3 meter. The horizontal position of the center of the box is x equals 0 meters. When the spring is stretched the box will be at a horizontal position of x equals 0.3 meter.
A block of mass 0.5kg on a horizontal surface is attached to a horizontal spring of negligible mass and spring constant 50N/m. The other end of the spring is attached to a wall, and there is negligible friction between the block and the horizontal surface. When the spring is unstretched, the block is located at x=0m. The block is then pulled to x=0.3m and released from rest so that the block-spring system oscillates between x=−0.3m and x=0.3m. What is the magnitude of the acceleration of the block and the direction of the net force exerted on the block when it is located at x=0.3m?

Magnitude of Acceleration Direction of Net Force
30m/s2 Positive
, Magnitude of Acceleration Direction of Net Force 30 meters per second squared Positive

Magnitude of Acceleration Direction of Net Force
30m/s2 Negative
, Magnitude of Acceleration Direction of Net Force 30 meters per second squared Negative

Magnitude of Acceleration Direction of Net Force
0 m/s2 Positive
, Magnitude of Acceleration Direction of Net Force 0 meters per second squared Positive

Magnitude of Acceleration Direction of Net Force
0 m/s2 Negative

Answers

Explanation:

No need to calculate the force you can just find by Hookes law

Hookes law states that

F=-kx

Where

F is force ,k is spring constant x is distance

force remains negative as per it

Acceleration=50/0.5÷1/3=100/3=33≈-30m/s²

Option B

What is current of 12 ohm? help me pleasee

Answers

Answer:

Current for 12 ohms = 2.5

Explanation:

Ohm's Law:

Voltage = IR

Current = V/R

Resistance = V/I

Therefore, current = 30V/12 Ohms

30/12 = 2.5

So current for 12 ohms = 2.5

I hope this helps :>

Electromagnets project student guide
y’all i need helppppo

Answers

Answer:

I don't know

Explanation:

you need then search here

Determine the slope of end a of the cantilevered beam. E = 200 gpa and i = 65. 0(106) mm4

Answers

For E = 200 gpa and i = 65. 0(106) mm4, the slope of end a of the cantilevered beam is mathematically given as

A=0.0048rads

What is the slope of end a of the cantilevered beam?

Generally, the equation for the is mathematically given as

[tex]A=\frac{PL^2}{2EI}+\frac{ML}{EI}[/tex]

Therefore

A=\frac{10+10^2+3^2}{2*240*10^9*65*10^6}+\frac{10+10^3*3}{240*10^9*65*10^{-6}}

A=0.00288+0.00192=0.0048rads

A=0.0048rads

In conclusion, the slope is

A=0.0048rads

Answers

The half life is the time taken for half the number of radioactive atoms originally present to remain. This is the time that corresponds to exactly half of the original number of radioactive isotopes remaining in the system.

What is half life?

The half life is the time taken for half the number of radioactive atoms originally present to remain. We can plot the number of atoms against the time taken in a graph.

We can obtain the half life of the radioactive isotope from the graph by noting the time that corresponds to exactly half of the original number of radioactive isotopes remaining in the system.

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Which property of the sound wave changes when the volume is increased on a radio?.

Answers

Answer:

amplitude

Explanation:

When we increase the volume of a sound, the amplitude of the wave is increased. The frequency of a wave is related to its pitch. If the pitch is high, then the frequency of the wave is high. This means that the wave will looked squashed on an oscilloscope trace.

While on an ice-fishing trip, you find yourself holding a 10 kg fish but stuck in the middle of
the lake. The ice is perfectly smooth and you cannot walk or shuffle your feet towards the
shore. But because you understand Newton's Laws, you are still able to make it back to shore. A
Briefly explain what did you did. Why did it worked? (Please include directional words such as
up/down, towards/away from shore, left/right, etc.)

Answers

The forward force you exert on the fish and your backward action will allow you to reach the shore.

Newton's third law of motion

Newton's third law of motion states that for every action, there is an equal and opposite reaction.

Fa = -Fb

Let's assume the fish is held in the hook, this will give you the opportunity to throw the fish forward while still holding it.

When the the fish is thrown forward, you will move backwards with an equal force based on Newton's third law. Your backward momentum towards the shore will help to maintain equal linear momentum between you and the fish.

Thus, this forward force of the fish and your backward action will allow you to reach the shore.

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The particles in a balloon push out on the sides of the balloon. What is the reaction force?
A. The balloon wall pushes the enclosed air particles inwards.
B. The string of the balloon on the particles in the environment.
C. There are no forces involved in a balloon filled with air.

Answers

The balloon wall pushes the enosed air particles inwards.

In order to compare the two thermal conductivities ,a scientist pours hot water into two beakers .
The two different insulators are wrapped around the beakers . The scientist records the intial temperatures of the hot water
State two further measurements he scientist should make
( if you don’t know please don’t reply )

Answers

Answer:

Time domain and frequency domain

4. The splashing of a liquid resembles an oscillation. The restoring force in this scenario will be due to which of the following?
Potential energy
Kinetic energy
Gravity
Mechanical energy

Please show all of your work.

Answers

Gravity

when liquid splashed and is at the top, the force bringing the liquid back down to the midpoint is gravity. This brings the liquid back to its equilibrium level.

Answer:

Gravity

Explanation:

The splashing of liquid resembles like an oscillation .

The force acting on liquid to pull it down is gravity and the force bouncing it back is caused by normal reaction

Hence gravity is the answer

Un motor eléctrico consume 10A de corriente de un circuito de 120v. Calcular la potencia y el trabajo que suministra al motor durante 5hrs de funcionamiento:
A) P=0.9 kw, T=6 kwh
B) P=0.85 kw, T=4 kwh
C) P=1.2 kw, T=3 kwh
D) P=1.2 kw, T=6 kwh

Answers

Answer:

D. P=1.2 kw, T=6kwh

Explanation:

P = A × V

P = 120×10

= 1200 watts or 1.2 kw

T = Watts × hr

1000

= 1200 × 5

1000

= 6 kwh

The energy for _____ transport comes from the gradient itself

Answers

Answer:

the anwser is atp

Explanation:

To move substances against a concentration or an electrochemical gradient the cell must use energy. This energy is harvested from ATP that is generated through cellular metabolism. Active transport mechanisms, collectively called pumps or carrier proteins work against electrochemical gradients.

The energy for passive transport comes from the gradient itself, in which transfer of a solute from high electrochemical potential to low take place.

What is passive transport?

The passive transport is the shifting or transfer of a solute from a place where the electrochemical potential is high to a place where the electrochemical potential is low.

Energy require for passive transport-

Compound moves free from high electrochemical potential to low in memberne.Due to free movement, there in no energy required in passive transport.

Thus, the energy for passive transport comes from the gradient itself, in which transfer of a solute from high electrochemical potential to low take place.

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A particular circuit is made up of a battery, a switch, a buzzer, and wires connecting the components. All of the components
e in working order, but the buzzer does not make noise. Which statement explains this observation? (1 point)
The circuit lacks a power source.
The load cannot convert electrical energy
The switch is open
The conductors are not attached

Answers

If the buzzer in this connection fails to make a sound, it follows that the switch or the key is open.

What is a circuit?

A circuit is a path designed for the flow of current. We have to take note of the fact that the switch or key must be closed before electric current can pass through the circuit and the buzzer will make a sound.

Therefore, were the buzzer in this connection fails to make a sound, it follows that the switch or the key is open.

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Answer:

C
- CONNECTIONS

--------------------------------

much love! <33

What happens to force if you decrease the charge on one of two charges?

Answers

Answer:

This repulsion would be reduced to one-quarter of its former value.

Explanation:

hope this helps. (MARK ME BRAINLIEST, please.)

Which characteristic is common to the four outer planets in our solar system?.

Answers

They are all gas giants.

Answer: They Are all gas giants.

Explanation:

Which characteristic is the same for every color of light in a vacuum?.

Answers

In a vacuum all colors of light travel with same speed and this is the reason a white ray travels through the vacuum without going through any dispersion..

What is speed?

Speed of light is the distance per time light waves propagate through different materials. The value for the speed of light in a vacuum is now defined as exactly 299,792,458 metres per second.

Therefore, In a vacuum all colors of light travel with same speed and this is the reason a white ray travels through the vacuum without going through any dispersion

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Why a surface that always have a perpendicular is an equipotential

Answers

Answer:

An equipotential surface is circular in the two-dimensional. Since the electric field lines are directed radially away from the charge, hence they are opposite to the equipotential lines. Therefore, the electric field is perpendicular to the equipotential surface.

A bottle of soda always has a space between the cape and the top of the liquid. Explain

Answers

Answer:

All soft drinks contain water. When soft drink bottles are chilled in sub-zero temperatures, the water on account of its anomalous expansion expands. Thus, to provide space for expanding water, soft drink bottles are not completely filled as otherwise they will burst.

Explanation:

Answer:

Soft drink bottles are filled leaving some space between the lid/cap and the liquid level.

Explanation:

The reason is that the soft drinks are cooled below room temperature. Sometimes they are kept in the hot Sun and weather. They are subject to a big temperature variation. Also, there are gases like CO2 mixed in the drink. So the gases come out of the liquid and expand due to heat. That creates high pressure.

Water expands when it is cooled to 4 deg. C. But the bottle (glass) contracts when it is cooled. So if there is no air gap, then volume of water (cool drink) will become more than the inside volume of the bottle. Then the bottle will break due to pressure from water expansion around 8 deg. to 4 deg.C.

When a bottle is opened, due to pressure difference, and temperature difference, the gases come out of drink in the form of bubbles. So cold drink overflows out.

Also, the soft drink bottles are capped tightly. When an opener is used to open it using some force upwards, the pulling force also moves the soft drink bottle upwards. So just after the lid comes off, the top part of the drink comes out due to the pull. So some drink spills on people who open or, it falls outside.

In order to prevent these problems, some gap is left open between the surface of the soft drink and the top of the bottle.

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