Answered: , a car deceleraes at 7.00 m/s^2. a.…

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

During a very quick stop, a car deceleraes at 7.00 m/s^2.
a. What is the angular acceleration of its 0.280-m-radius tires, assuming they do not slip on
the pavement?
b. How many revolutions do the tires make before coming to rest, given their initial
angular velocity is 95.0 rad/s?
c. How long does the car take to stop completely?
d. What distance does the car travel in this time?
e. What was the car’s initial velocity?
f. Do the values obtained seem reasonable, considering that this stop happens very
quickly?

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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