   Chapter 7, Problem 2P

Chapter
Section
Textbook Problem

A bicycle tire is spinning clockwise at 2.50 rad/s. During a time period Δt = 1.25 s, the tire is slopped and spun in the opposite (counterclockwise) direction, also at 2.50 rad/s. (Calculate (a) the change in the tire’s angular velocity Δω and (b) the tire's average angular acceleration αav.

(a)

To determine
The change in the tire’s angular velocity.

Explanation

Given info: The initial angular velocity of the tire ωi is 2.50rad/s and the final angular velocity of the tire is ωf=2.50rad/s .

Explanation:

The formula for the change in the tire’s angular velocity is,

Δω=ωfωi

• ωi is the initial angular velocity of the tire
• ωf is the final angular velocity of the tire.

Substitute 2.50rad/s for ωi and ωf=2

(b)

To determine
The tire’s average angular acceleration.

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