   Chapter 7, Problem 14P

Chapter
Section
Textbook Problem

An electric motor rotating a workshop grinding wheel at a rate of 1.00 × 102 rev/min is switched off. Assume the wheel has a constant negative angular acceleration of magnitude 2.00 rad/s2. (a) How long does it take for the grinding wheel to stop? (b) Through how many radians has the wheel turned during the interval found in part (a)?

a)

To determine
The time required for the grinding wheel to stop.

Explanation

Given info: The rate of rotation of the electric motor when the motor is switched off is 1.00×102revmin-1 . The negative acceleration og the motor is 2.00rads-2 .

Explanation:

The angular acceleration of the wheel will be,

α=ωfωit

• ωf is the final angular velocity of the wheel
• ωi is the initial angular velocity of the wheel
• t is the time interval

The time taken for the grinding wheel to stop is given by,

t=ωfωiα

Substitute 2.00rads-2 for α , 1.00×102revmin-1 for ωi , 0 for ωf to determine the time taken for the grinding wheel to stop,

t=0(1

b)

To determine
The angular displacement of the wheel.

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