A bicycle wheel can be thought of a uniform hoop with a radius of 41 cm and mass 2.0 kg. Consider the case where the wheel start from rest and accelerates uniformly under the action of a constantly applied torque of 0.5 N-m exerted by a force at the edge of the wheel. The torque is caused by the bicycle chain acting at a radius of 11.5 cm from the center of the wheel. a) How long does the wheel take to reach a speed of 10 rev/min? b) Through how many revolutions does it turn while accelerating?

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A bicycle wheel can be thought of a uniform hoop with a radius of 41 cm and mass
2.0 kg. Consider the case where the wheel start from rest and accelerates uniformly
under the action of a constantly applied torque of 0.5 N-m exerted by a force at the
edge of the wheel. The torque is caused by the bicycle chain acting at a radius of
11.5 cm from the center of the wheel.
(a) How long does the wheel take to reach a speed of 10 rev/min?
(b) Through how many revolutions does it turn while accelerating?
Transcribed Image Text:A bicycle wheel can be thought of a uniform hoop with a radius of 41 cm and mass 2.0 kg. Consider the case where the wheel start from rest and accelerates uniformly under the action of a constantly applied torque of 0.5 N-m exerted by a force at the edge of the wheel. The torque is caused by the bicycle chain acting at a radius of 11.5 cm from the center of the wheel. (a) How long does the wheel take to reach a speed of 10 rev/min? (b) Through how many revolutions does it turn while accelerating?
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