Answer:
1) The engine torque is approximately 134.33 N·m
2) The speed of the engine is approximately 4,469.15 revolutions per minute
Step-by-step explanation:
1) The drag coefficient, [tex]c_d[/tex], is given by the formula;
[tex]c_d = \dfrac{2 \cdot F_d}{\rho \cdot u^2 \cdot A}[/tex]
Where;
[tex]c_d[/tex] = 0.28
[tex]F_d[/tex] = The drag force
ρ = The fluid density = 0.00206 slugs/ft³ = 1.06168037 kg/m³
u = The object's flow speed = 130 mi/h = 58.1152 m/s
A = The frontal area = 19.8 ft² = 1.83948 m²
[tex]F_d = \dfrac{c_d \cdot \rho \cdot u^2 \cdot A }{2}[/tex]
∴ [tex]F_d[/tex] = (0.28 × 1.06168037 × (58.1152)² × 1.83948)/2 ≈ 923.4 N
We have;
[tex]F_d = \dfrac{M_e \cdot \varepsilon _0 \cdot \eta _d }{r}[/tex]
Where;
[tex]M_e[/tex] = The engine torque
ε₀ = The overall gear reduction ratio = 2.5
[tex]\eta _d[/tex] = The drivetrain efficiency = 0.88
r = The wheel radius = 12.6 inches = 0.32004 meters
[tex]\therefore M_e = \dfrac{F_d \cdot r }{ \varepsilon _0 \cdot \eta _d}[/tex]
[tex]\therefore M_e = \dfrac{F_d \cdot r }{ \varepsilon _0 \cdot \eta _d} \approx \dfrac{923.4 \times 0.32004 }{ 2.5 \times 0.88} \approx 134.33 \ N\cdot m[/tex]
The engine torque = [tex]M_e[/tex] ≈ 134.33 N·m
The engine torque ≈ 134.33 N·m
2) The speed of the engine, [tex]n_e[/tex], is obtained from the following formula;
[tex]v = \dfrac{2 \cdot \pi \cdot r \cdot n_e \cdot (1 - i)}{\varepsilon _0}[/tex]
Where;
v = The vehicle's speed = 130 mi/h = 58.1152 m/s
r = The wheel radius = 12.6 inches = 0.32004 meters
i = The drive axle slippage = 3% = 3/100 = 0.03
ε₀ = The overall gear reduction ratio = 2.5
[tex]\therefore n_e = \dfrac{v \times \varepsilon _0 }{2 \times \pi \times r \times (1 - i)} = \dfrac{58.1152 \times2.5 }{2 \times \pi \times 0.32004 \times (1 - 0.03)} \approx 74.486 \ rev /second[/tex]
The speed of the engine in revolution per minute = 60 seconds/minute × 74.486 rev/second ≈ 4,469.15 revolutions per minute
The speed of the engine ≈ 4,469.15 revolutions per minute.
14. Using 1 inch = 15 feet as the scale factor, what are the blueprint dimensions of a room in a model house that is actually 30 feet x 45 feet?
O2 in x 3 in.
O 3 in 2 in
O2 in x 2 in
O 3 in x 2 in
Hi if you can answer this i'll mark u brainllest and give you MORE points
How can you work backward from 1/3 to check the answer when converting 0.3 as a fraction?
PLEASE HELP HELP PLEASEEEEEEEEEEEEE
Answer:
D
Step-by-step explanation:
So it needs to go down because its negative. So B and C are out. Now if you look at the y intercept (4), you just have to look at which graph has a y intercept that's positive. So that's D
please please help me!!
Answer:
g(x) = f(x+1) + 1
Step-by-step explanation:
Since the graph is only moved you don't have to worry about the slope.
To move the graph to the left you add to the x and in this case, it only moved 1 over.
to move the graph up you add to the whole function and in this case, it only moved up 1.
1) Find mZCDE if m CDK = 110°
and m KDE = 380
E'
TA
To
what is addition property
Answer:
When we add two or more whole numbers, their sum is the same regardless of the order of the addends. The sum of both 2 + 4 and 4 + 2 is 6. That means, we can add whole numbers in any order. When three or more numbers are added, the sum is the same regardless of the grouping of the addends.
Step-by-step explanation:
there
There are four mathematical properties which involve addition. The properties are the commutative, associative, identity and distributive properties.
Commutative Property: When two numbers are added, the sum is the same regardless of the order of the addends.
For example 4 + 2 = 2 + 4
To remember the commutative property, it might be helpful to think about the word commute which means to switch places between home and work (or home and school). In the example above, you can see the 4 and the 2 commuting or switching places.
Associative Property: When three or more numbers are added, the sum is the same regardless of the grouping of the addends.
For example (2 + 3) + 4 = 2 + (3 + 4)
To remember the associative property, it might be helpful to think about the word associate, which as a verb means to interact with a group (maybe you associate with a certain group of friends!). The parentheses are grouping operators, that is, they form groups of numbers and operations. You can see in the example above, the 3 can associate with either the 2 or the 4, but the value of each side is still a total of 9.
Identity Property: The sum of any number and zero is the original number.
For example 5 + 0 = 5.
To remember the identity property, it might be helpful to think of it as a question and answer: What number can I add so that the value is not changed? Zero. In the example above, the 5 gets to keep its identity because adding zero does not change its value.
Distributive Property: The sum of two numbers times a third number is equal to the sum of each addend times the third number.
For example 4 * (6 + 3) = 4*6 + 4*3
The distributive property is the only property that combines multiplication and addition. That makes it very important!
If f(x) = 2x-5 and g(x) = x2 - 4x - 8, find (f+ g)(x).
O A. (f+9)(x) = x2 - 2x - 13
O B. (f+g)(x) = x2 + 2x - 3
O C. (f+g)(x) = x2 - 2x-3
O D. (f+g)(x) = 3x2 - 4x - 13
The addition of the functions f(x) and g(x) will be (f+ g)(x) = x² – 2x – 13. Then the correct option is A.
What is a function?Functions are found all across mathematics and are required for the creation of complex relationships.
If f(x) = 2x – 5 and g(x) = x² – 4x – 8.
Then the function (f+ g)(x) will be
(f+ g)(x) = f(x) + g(x)
(f+ g)(x) = 2x – 5 + x² – 4x – 8
(f+ g)(x) = x² – 2x – 13
Then the correct option is A.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ1
Anyone wanna help?please
Answer:
x=14
Step-by-step explanation:
(8x-4)+(6x-12)=180
14x-16=180
14x=196
x=14
write an equation in slope-intercept form of the line that passes through the points (-2,3) and (2,7)
Answer:
y = x+5
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( 7-3)/(2 - -2)
( 7-3)/(2+2)
4/4
1
Then slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 1*x+b
y = x+b
Substitute a point into the equation
7 = 2+b
7-2 =b
5=b
y = x+5
Answer:
M=1
Step-by-step explanation:
find the slope (M)
the slope is 1
Hope this helps Bodhi,
This year, there were 25% fewer sunny days than last year. That’s my question.
If there were 25% fewer sunny days this year than last year, then there were 25% more sunny days last year than this year and the number of sunny days in the coming year is unknown.
please answer i need help
Answer:
h < 2
Step-by-step explanation:
Given
5(2h + 8) < 60 ( divide both sides by 5 )
2h + 8 < 12 ( subtract 8 from both sides )
2h < 4 ( divide both sides by 2 )
h < 2
Answer:
h<2
Step-by-step explanation:
5(2h+8)<60
2h+8<12
2h<4
h<2
Can someone please help me I need help
Answer:
8 in
Step-by-step explanation:
Step 1: Define
A = 56
b = 7
A = bh
Step 2: Find h
h = A/b
h = 56/7
h = 8
Answer:
h= 8 inches
Step-by-step explanation:
A= bh; b= 7 inches; Area= 56 inches squared
56= 7h
56/7 = 7h/7
h= 8 inches
hope this helps!
PLEASE HELP, DUE SOON!!
Answer:
118
Step-by-step explanation:
because it says: if m < 11 = *118*
10. -4x + 7 = 15; -2 and tell whether the given number is a solution of each equation
Answer:
[tex]x = - \frac{3}{2} [/tex]
Step-by-step explanation:
-4x+7=15-2
subtract number 15-2
-4x+7=13
-4x=13-7
-4x=6
divide
x=-3 over 2
Two maps are made of a park. The scale from the park to map A is 30 mi to 6 cm. The length of Great Oaks Trail is 4.5 cm on map A. The scale from the same park to map B is 24 mi to 3 cm. The length of Salamander Trail is 3.5 cm on map B. 1. What is the actual length (in miles) of Salamander Trail?
Answer:
The actual length of Salamander Trail is 28 miles
Step-by-step explanation:
Here, we want to calculate the actual length of salamander trail.
From the question, we are told that a a distance of 3cm on the map B is 24 miles in the park
So now, we have length of 3.5 cm and we want to calculate what is the actual length in miles
From the question on map B;
3 cm = 24 miles
so
3.5 cm = x miles
x * 3 = 24 * 3.5
x = (24 * 3.5)/3
x = 8 * 3.5 = 28 miles
which number produces a rational number when multiplied by 0.5
a. square root of 3
b. 1/3 (1 over 3)
c. 0.555... (0.555 repeating)
d. square root of 16
Answer:
square root of 16
Step-by-step explanation:
the square root of 16 is 4 and 4 times .5 equals 2
A local charity collected 163 cans of food
every day for 14 days. How many cans did they collect
in the first 10 days? How many did they collect in the
remaining 4 days? How many cans did they collect in
all? Solve this problem any way you choose!
Answer:
This was $14 less than twice what she spent for a blouse . How much ... From the first two equations, we have A=12B=12(3C)=32C ... How many days will it require for the son to plow the field alone?
Step-by-step explanation:
suppose that there were a positive correlation between the variables u and v. if v is 24 when u is 10, which of these is most likely to be the value of v when u is 20?
Answer: 48
Step-by-step explanation: I got it wrong and it said the correct answer was 48
The measure of an angle is 8 more than the measure of the other angle. If the two angles are complementary angles, find the measure of each angle
Answer:
yd wyyhvbfhu vuhcvb u sbhn j sbjhdghdgfh jbvdfhj gbhvdfhv hvg h jhs vh gh
Step-by-step explanation:
How do I solve this?(tangent segment)
Answer:
x = 6
Step-by-step explanation:
Given a tangent and a secant from an external point to the circle, then
The square of the tangent is equal to the product of the measures of the external part and the entire secant, that is
x² = 4(4 + 5) = 4 × 9 = 36 ( take the square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6
3 3/4 x 1 1/10 Multiplying and dividing mixed numbers
Answer:
I hope this is what you were needing the answer to!
HELP FAST !!! plzzzzz
Answer:
Flip the triangle around at the point Z
Step-by-step explanation:
The reason you need to flip the triangle at point Z is because, when reflecting, you need to reflect it over the line given. since the reflective line is x = 1, you reflect it off the line x of 1 or point (1,0). Also, when reflecting, the line of reflection will actually be perpendicular with the point given because, when reflecting, x = 1 means that all of the x coordinates on the line will equal 1. For example, your line would have to pass through the points (1,-4), (1,-2), (1,0), (1,2), so on so forth so in this statement, all of your points will be reflected over that line and since z is on that line, the triangle is just fliped at point z.
PLEASE HELP ME GIVING 50 POINTS!!! A fifteen passenger van is rented for a family vacation. The van rental is $75.00 per day, plus a $160.00 insurance fee. Which inequality could be used to find x, the number of days the car be rented if they want to spend less than $760.00 on the van rental?
Answer:
75x+160<760
Step-by-step explanation:
uhh it should be that if it´s not i´m sorry
Answer:
75x+160>760
Step-by-step explanation:
A block with a mass of 10 kg is being pushed. its acceleration is 5 m/s.s . Calculate the force acting on the block ? plz answer for good luck
Answer:
The answer is 50 NStep-by-step explanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × accelerationFrom the question
mass = 10 kg
acceleration = 5 m/s²
We have
force = 10 × 5
We have the final answer as
50 NHope this helps you
Which equation below represents a horizontal line?
x = 4
y = x – 0
y = x + 0
y = 4
Answer:
x=4
Step-by-step explanation:
this should be the answer hope it helps
Help me plz plz plz
Answer:
root 1
Step-by-step explanation:
The value of root 1 to any power is equal to 1.
Answer:
AStep-by-step explanation:
10/10 = 1
Hope this helps! <3
Which word best describes the element in box number 2?
a Brittle
b. Gas
С Semiconductor
d. Shiny
the correct answer is c. hope this helped
27. In a class test containing 15 questions 4 marks are given for every correct answer and
(-1) marks are given for every incorrect answer.
(i) Gokul attempts all questions but only 6 of his answers are correct. What is his
total score?
(ii) Neena gets 12 of her answers correct. What will be her score?
Answer:
24 and 72
Step-by-step explanation:
just multiple them both by 6
3 7/10 x 7 what is the answer in fraction form or decimal form. Perhaps both
Answer:
Step-by-step explanation:
3 7/10 *7
37/10 *7
259/10
25.9 or 25 9/10
Miguel completed the division problem below. What is Miguel's error? 754 divided by 0.52. 52 StartLongDivisionSymbol 7540 EndLongDivisionSymbol minus 52 = 234. 234 minus 208 = 260. 260 minus 260 = a remainder of 0 and a quotient of 145. He included a 5 in the quotient, which does not belong. He multiplied the divisor by 10 and the dividend by 100. He subtracted 208 from 234 incorrectly. He multiplied the divisor by 100 and the dividend by 10.
Answer:
He multiplied the divisor by 100 and the dividend by 10.
Step-by-step explanation:
Given that
Divisor = 0.52
And, the dividend is 754
It can be written as
Divisor is 52 i.e. (0.52 × 100)
And, the dividend is 7540 i.e. (754 × 10)
Now if we multiplied by 100 and divide by 10 so it gives the same result
Therefore the last option is correct and the same is to be considered
And all the other options are wrong
Answer:
D He multiplied the divisor by 100 and the dividend by 10
Step-by-step explanation:
Hope this helps:)