Answered: car make 94 revolutions as the car…

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter10: Rotational Motion And Angular Momentum

Section: Chapter Questions

Problem 8PE: During a very quick stop, a car decelerates at 7.00 m/s2. (a) What is the angular acceleration of...

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Question

The tires of a car make 94 revolutions as the car reduces its speed uniformly from 85.0 km/h to 65.0 km/h. The tires have a diameter of 0.84 m.

Part A

What was the angular acceleration of the tires?

Express your answer using two significant figures.

α = ____ rad/s^2

Part B

If the car continues to decelerate at this rate, how much more time is required for it to stop?

Express your answer to two significant figures and include the appropriate units.

t = ________

Part C

If the car continues to decelerate at this rate, how far does it go? Find the total distance.

Express your answer to three significant figures and include the appropriate units.

s =________

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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