2.7 A 3400-lb car is traveling in third gear (overall gear reduction ratio of 2.5 to 1) on a level road at its top speed of 130 mi/h. The air density is 0.00206 slugs/ft3 . The car has a frontal area of 19.8 ft2 , a drag coefficient of 0.28, a wheel radius of 12.6 inches, a drive axle slippage of 3%, and a drivetrain efficiency of 88%. At this vehicle speed, what torque is the engine producing and what is the engine speed (in revolutions per minute)?

Answers

Answer 1

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.


Related Questions

Which one?
A or B? ​

Answers

The answer is A

Multiplying an even number of negative terms makes the product positive -4x-6 will be 4x6 so we multiply all of them to get the answer.
3x6x4x6= 432

I need help with this geometry

Answers

Answer:

90 degrees

step by step explanation:

LKM moves half way on the blender which is 90 degrees.

Kayla began a science experiment with 18 grams of an unknown solid. During the experiment, the change in the mass of the solid was – 7 grams. What was the mass of the solid at the end of the experiment? To solve the problem, Edna subtracted 18–( – 7) and came up with an answer of 25 grams. Is Edna correct? Why or why not?

Answers

Answer:

No. Enda should have added 18+ (-7) because she needed to add the initial mass and the change in mass.

Step-by-step explanation:

please answer the questions circled aka: Lillie’s grandmother is making potato salad for a family reunion. She uses three potatoes for each person attending the dinner. If she expects 24 people to attend the reunion, which proportion can be used to solve for p, the number of potatoes? * AWNSER CHOICES ARE ON THE PICTURE and number 2: A 5 lb. package of chicken costs $6.00. What is the cost per pound? *

Answers

Answer:

c

Step-by-step explanation:

the second question 65cent

The answer is B. This is because the answer has to be 24 x 3 and that is what the proportion shows. The second question is $1.20 per pound it is just dividing 6 by 5 to find the unit rate.

Which point represents the unit rate?

Answers

Answer:

Point C

Step-by-step explanation:

Unit rate is always how much it is for 1 and point C has a 1 in it's coordinate pair. It isn't point B because point B is not graphed on the line.

Answer:

C.

Step-by-step explanation:

I NEED HELP ASAPPPPP

Answers

Answer:

6 decimal places.

Step-by-step explanation:

It's a pretty simple problem. Just simply divide 355 by 113. When you do that you get 3.14159292, which is 6 decimal place accuracy because pi in your problem, is equal to 3.141592654. Then you just count the matching decimal places, which is 6.

The answer is 6. If you divide 355 / 113 it matches pi to the 6 decimal point

Solve the system of equations -2x+3y=3 x-2y=2

Answers

Answer:

(-12, -7)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

el 30% del 40% de 60 es/ 30% of 40% of 60 is​

Answers

Step-by-step explanation:

uiuhhhghjsjsisbsidgurdbridbr d

Questions 1-5. Bryan invests $500 in an account earning 4% interest that compounds annually. If he makes no additional deposits or withdrawals, how much will be in the account:

After 15 years?

(round to the hundredths place

Answers

Answer:

608.33

Step-by-step explanation:

Anne works for a company that manufactures liquid dyes for clothing. She currently wants to mix up some 30%-concentrated red dye. She has 66 gallons of 21%-concentrated red dye, as well as plenty of 51%-concentrated red dye. How many gallons of the 51%-concentrated red dye will Anne need to add to the 21%-concentrated red dye to make a batch with a concentration of 30%?

Answers

Answer:

28.29 gallons

Step-by-step explanation:

Given that the available amount of 21%-concentrated red dye= 66 gallons.

Let x gallons of 51%-concentrated red dyes to be mixed with 56 gallons of 21%-concentrated red dye to get 30%-concentrated red dyes.

Total amount of the resulting mixture = 66 + x gallons.

Amount of red dyes in the mixture = (21% of 66) + (51% of x)

To get the resulting mixture as 30%-concentrated red dyes, we have

30% of (66+x) = (21% of 66) + (51% of x)

[tex]\Rightarrow 30(66+x)=21\times66+51x\\ \Rightarrow 30\times 66 +30x= 21\times66+51x\\\Rightarrow 51x-30x=66(30-21)\\\Rightarrow 21x=66\times 9\\\Rightarrow x = 28.29[/tex]

Hence, the amount of 51%-concentration red dyes to be mixed = 28.29 gallons.

-9+n/4 = -11 The slash represents a fraction so (n over four.) Please help thank you!! :)

Answers

Answer:

n=-8

Step-by-step explanation:

-9+n/4=-11

n/4=-2

n=-8

Step-by-step explanation:

n/4= -11+9

n/4= -2

n= -2× 4

n= -8

On Monday, you run treadmill for 1/2 hour at x miles per hour. On Tuesday, you walk the same distance on the treadmill, at 2 mph slower, and it takes you 3/4 hour.
How many miles did you run on the treadmill on Monday?

Answers

Distance = rate * time

Let r = rate

 

Distance is the same for both runs,  so:

.5r = D =  3/4(r - 2)

 

Distribute (and convert .5):

2/4r = 3/4r - 3/2

 

Subtract 3/4 r from both sides:

-1/4r = -3/2

 

Multiply both sides by -4 to get a solitary r:

r = -3 * -4 / 2

r = 3 * 2

r = 6 miles per hour

 

.5 hours * 6 mi/hr = 3 miles

 

check:

6 - 2 = 4

3/4 hours * 4 mi/hr = 3 miles

DO NOT ANSWER IF YOU DO NOT KNOW, Will give brainliest, like, comment, and 5 points to answer
Each of these is a pair of equivalent ratios, for each pair explain why they are equivalent. 5:1 and 15:3
10.2 and 25.5
198:1,287 and 2:13

Answers

Step-by-step explanation:

5:1 and 15:3 is equivalent because 5 ⋅ 3 = 15, and 1 ⋅ 3 = 3.

10.2 ⋅ 2.5 = 2.5.5 (This wasn't put into a ratio form.)

198:1,287 and 2:13 are equivalent because 198/99 = 2, and 1,287/99 = 13.

expand 3(z+3) please help me solve this

Answers

Answer:

3(z+3) = 3z + 9 if thats what your asking

Step-by-step explanation:

Avas heart rate is 65 beats per minute. If avas heart beat 748,800 times, how many full days would have elapsed

Answers

Answer:

520 full days.

Step-by-step explanation:

Since I'm not that smart I looked up how many minutes are in a day and got a total of 1440 minutes in a day. Then I took the amount of heart beats and divided it by 1440 so we know how many full days. This is what the equation would look like: 748,800/1440.

I hope this helps:)

A line includes the points (6, 2) and (8, 6). What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

y = x −

Answers

Answer:

y=2x-10

Step-by-step explanation:

Hope this helps   (:

-3/4x≤12
what are the steps to solve this??

Answers

Answer:

x≥-16

Step-by-step explanation:

-3/4x≤12

Multiply each side by -4/3, remembering to flip the inequality

-4/3 *-3/4x≥ -4/3 *12

x≥-16

Answer: x ≥ -16

Step-by-step explanation:

Divide both sides by -3/4 to get x alone.

When you divide or multiply both sides by a NEGATIVE, the inequality FLIPS.

-3/4x ≤ 12

Divide both sides by -3/4:

x ≥ -16

Hope this helps!

Mike and Larry are friends who share the same birthday.They decided to have a birthday party together and their friends. Mike received 21 gifts while Larry received 12 gifts. What is the ratio of gifts for Mike to Larry ​

Answers

Answer:

21:12

Step-by-step explanation:

Answer:

7:4

Step-by-step explanation:

because u simplify 21:12 and u would get 7:4

Solve for m: 2m + 5-3m = 7

Answers

Answer:

m=-2

Step-by-step explanation:

Answer: m = -2

Step-by-step explanation:

Simplify 2m + 5 - 3m  to -m+ 5

-m + 5 = 7

Regroup terms.

5 - m = 7

Subtract 5 from both sides.

-m = 7 - 5

Simplify 7 - 5 to 2

-m = 2

Multiply both sides by -1

m = -2

which of the following are the coordinates of point A’, the image of point A, after a rotation of 90° about the origin?

Answers

Answer: I think it is (-4,0)

Step-by-step explanation:

Because the image shows it directly on the y axis so 90 degrees from that puts it on the x axis and it would have to be in the negative for the way it was reflected. So, the only reasonable answer is (-4,0).

Answer:

B) A rotation of 270° about the origin.

B) (-4, 0)

D) (-2, -5)

C) X' (-2, -6) and Y' (3, -1)

C) 280°

C) 8

B) A rotation of 180° about the origin.

B) Where Q is the center, the image of Q is itself, and for any other point V, QV' = QV and m∠VQV' = x°.

D) X' (6, -2) and Y' (1, 3)

C) (0, -30)

Brainliest plsssssss

While on spring break, Kayla decided she wanted to go parasailing She was held at a constant angle above the water by a large tow rope attached to the back of the boat. The length of the tow rope is 240 meters. If the angle of the rope keeps Kayla at a horizontal distance of 181 meters away from the boat, how high above the boat is Kayla?

Answers

Answer:

157.6m

Step-by-step explanation:

Given

Horizontal distance = 181m

Length of the rope =240m

To know how high above Kayla was, we will use the Pythagoras theorem.

According to the theorem;

d² = x²+y²

x is the horizontal distance

y is the vertical distance

d is the length of the rope

Substitute

240² = 181²+y²

y² = 240²-181²

y² = 24839

y = √24839

y = 157.6m

Hence the boat is 157.6m above Kayla

Simplify 0.05x + 1.02x.

1.07x
1.7
0.17x

Answers

Answer:

1.07x

Step-by-step explanation:

Since they both have a x, you can simply add .05 + 1.02 to get 1.07x.

Answer:

It is 1.07x (✿◠‿◠)

Can someone help me out on this?

Answers

Answer:

<NMP and <QPR

Step-by-step explanation:

Look up corresponding angle examples. these angles are corresponding.

what is the slope of a line that passes through 5,15 and 6,11?

Answers

Answer:

slope is -4, equation is y= -4x + 35

Step-by-step explanation:

 11-15

______

 6-5

-4

____

1

11 = -4(6) + b

b = 35

To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining.

Which equations could you use to find the price of one tire patch? Select all that apply.

Answers

Answer:The answers are

4x + 1.9 = 22.2

22.2 - 4x = 1.9

Answer:

C. 4x + 1.9 = 22.2 and E. 22.2 – 4x = 1.9

Step-by-step explanation:

True or False: Every number has a limited amount of factors, but an unlimited amount of multiples. ​

Answers

Answer:

False

Step-by-step explanation:

0 has unlimited numbers of factors because 0 times everything equals 0. If 0 is not included then the statement is true.

Casey bought 3/8 pound of plums and 5/12 pound of bananas. How many pounds of fruit did he buy?

Answers

Answer:

19/24 pounds

Step-by-step explanation:

To find the total number of pounds, we should add 3/8 and 5/12. They both have different denominators, so we have to find the least common multiple between 12 and 8. The least common multiple between 12 and 8 is 24. 12 should be multiplied by 2 to get 24 (5 too) and 8 should be multiplied by 3 to get 24 (3 too).

[tex] \frac{3}{8} + \frac{5}{12} [/tex]

[tex] \frac{3 \times 3}{8 \times 3} + \frac{5 \times 2}{12 \times 2} [/tex]

[tex] \frac{9}{24} + \frac{10}{24} [/tex]

[tex] \frac{19}{24} [/tex]

What is the property demonstrated by the equation (2a)^4 = 16a^4
(^4 indicates an exponent (which is 4))

Answers

Answer:

Ues the site called quetext is helps

Step-by-step explanation:

Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together. (2a)^4 = 16a^4 is distributive property.

What is Distributive property?

Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.

If an exponent acts on single term in parentheses, we can distribute the exponent over the term.

(2a)^4

=2^4.a^4

The value of 2^4 is 16, because 2^4=2*2*2*2=16.

=16a^4.

Therefore by distributive property of exponents (2a)^4 = 16a^4.

To learn more on distributive property click:

https://brainly.com/question/5637942.

#SPJ2

Which expression is equivalent to-80? O-45 O-4/5 O 45 O 45​

Answers

-4v5i

Step-by-step explanation:

two plus two plus four??

Answers

Answer:

8 lol

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Add from left to right 2+2=4 and then add 4+4 and you get 8

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