# Physics

(a) Calculate the linear acceleration of a car, the 0.280 m radius tires of which have an angular acceleration of 15.0 rad/s2. Assume no slippage. (m/s2)
(b) How many revolutions do the tires make in 2.50 s if they start from rest? (rev)
(c) What is their final angular velocity? (rad/s)
(d) What is the final velocity of the car? (m/s)

1. 👍 0
2. 👎 0
3. 👁 648
1. a. Circumference=pi*2r = 3.14 0.560=1.76
m.

b. V = a*t = 4.20m/s^2 * 2.50s=10.51 m/s
d = 0.5a*t^2 = 0.5*10.51*2.5^2 = 32.84 m
Revs = 32.84m * 1rev/1.76m = 18.7

c. V = 18.7rev/2.5s * 6.28rad/rev = 46.9

m/s.

1. 👍 0
2. 👎 0
posted by Henry
2. Correction:
b. d=0.5a*t^2 = 0.5*4.20*2.5^2=13.125 m
Revs = 13.125m * 1rev/1.76m = 7.46

c. V = 7.46rev/2.5s * 6.28rad/rev=18.73

1. 👍 0
2. 👎 0
posted by Henry

## Similar Questions

1. ### AP Physics

To test the performance of its tires, a car travels along a perfectly ﬂat (no banking) circular track of radius 120 m. The car increases its speed at uniform rate of at ≡ d |v| dt = 2.99 m/s 2 until the tires start to skid. If

asked by Noah on October 24, 2012
2. ### physics

A car traveling 50 m/s has tires tires that with radii of 0.25 m. The driver of the car hits the brakes and brings the car to a stop in 5 seconds. What is the angular acceleration of the tires on the car?

asked by bejay on April 25, 2011
3. ### physics

The tires of a car make 58 revolutions as the car reduces its speed uniformly from 92 to 33 . The tires have a diameter of 0.86 . What was the angular acceleration of the tires? If the car continues to decelerate at this rate, how

asked by juana on May 26, 2011
4. ### Physics

A 640-kg racing car completes one lap in 14.3 s around a circular track with a radius of 55.0 m. The car moves at constant speed.(a) What is the acceleration of the car?(b) What force must the track exert on the tires to produce

asked by Jamal on October 25, 2012
5. ### Math

A 605-kg racing car completes one lap in 14.3 s around a circular track with a radius of 40.0 m. The car moves at constant speed. a) What is the acceleration of the car? (b) What force must the track exert on the tires to produce

asked by Noah on December 3, 2012
1. ### physics

A 640-kg racing car completes one lap in 14.3 s around a circular track with a radius of 45.0 m. The car moves at constant speed. (a) What is the acceleration of the car? m/s2 (b) What force must the track exert on the tires to

asked by bob on January 6, 2012
2. ### Physics

A 625-kg racing car completes one lap in 14.3 s around a circular track with a radius of 50.0 m. The car moves at a constant speed. (a) What is the acceleration of the car? (b) What force must the track exert on the tires to

asked by Brendan on October 4, 2016
3. ### physics

A 605-kg racing car completes one lap in 14.3 s around a circular track with a radius of 40.0 m. The car moves at constant speed. (a) What is the acceleration of the car? (b) What force must the track exert on the tires to produce

asked by Noah on December 7, 2012
4. ### Physics

Calculate the maximum deceleration of a car that is heading down a 30.0° slope (one that makes an angle of 30° with the horizontal) under the following road conditions. You may assume that the weight of the car is evenly

asked by Anonymous on June 3, 2014
5. ### Physics

Calculate the maximum deceleration of a car that is heading down a 30.0° slope (one that makes an angle of 30° with the horizontal) under the following road conditions. You may assume that the weight of the car is evenly

asked by Anonymous on June 3, 2014

More Similar Questions