A bicycle has wheels with a diameter (DIAMETER, not radius) of 0.560 m. It accel

Question

A bicycle has wheels with a diameter (DIAMETER, not radius) of 0.560 m. It accelerates uniformly and the rate of rotation of its wheels increases from 175 rpm to 290 rpm in a time of 16.7 s. Find the linear acceleration of the bicycle. I need final answer at the end please. Thanks. A bicycle has wheels with a diameter (DIAMETER, not radius) of 0.560 m. It accelerates uniformly and the rate of rotation of its wheels increases from 175 rpm to 290 rpm in a time of 16.7 s. Find the linear acceleration of the bicycle. I need final answer at the end please. Thanks.

Explanation / Answer

radius

r=D/2 =0.28 m

angular acceleration

alpha =dW/dt

alpha=[(290-175)/16.7]*(2pi/60)

alpha=0.72 rad/s^2

linear acceleration

a=r*alpha =0.28*0.72

a=0.202 m/s^2

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