a grinding wheel, witha mass of 20 kg and a radius of 22.4 cm, is a uniform cycl

Question

a grinding wheel, witha mass of 20 kg and a radius of 22.4 cm, is a uniform cyclindrical disk. a) find the rotational inertia of the wheel about its central axis b) When the grinding wheel's motor is turned off, friction causes the wheel to slow from 1200 rpm to rest in 60 seconds. What torque must the motor provide to accelerate the wheel from rest to 1200 rom in 4 seconds? assume that the frictional torque is the same regardless of whether the motor is on or off. ( Colllege Physics (giambastista Review and Synthesis pg 323 prob 11)

Explanation / Answer

a) rotational Moment of Inertial is given by 1/2(MR^2).
=>0.50176 kg/m2

b) Torque = I*, Now =1200*2/602=2.0943.

Torque = 1.05088 N-m.

c) New Torque= Net Torque + Frictional Torque

=> 16.8141 Answer

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