A grinding wheel is in the form of a uniform solid disk of radius7.05 cm and mas

Question

A grinding wheel is in the form of a uniform solid disk of radius7.05 cm and mass 2.05 kg. It starts from rest and acceleratesuniformly under the action of the constant torque of 0.602 N·m that the motor exerts on thewheel. (a) How long does the wheel take to reach itsfinal operating speed of 1220rev/min?


(b) Through how many revolutions does it turn whileaccelerating?

(a) How long does the wheel take to reach itsfinal operating speed of 1220rev/min?


(b) Through how many revolutions does it turn whileaccelerating?

Explanation / Answer

Radius r= 7.05 cm = 0.0705 m

Mass m = 2.05 kg

Moment of inertia of the disk I = ( 1/ 2) mr ^ 2

                                                 = 5.09*10^-3 kg m^ 2

Torque T = 0.602 N

Initial angular speed w = 0

Final angular speed w ‘ = 1220 rev / min

                                      = 1220 * 2(pi) rad / 60 s

                                      = 127.75 rad / s

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