A bicycle wheel of radius starts from rest and accelerates uniformly until its…

PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A bicycle wheel of radius 0.35 m0.35\,\text{m} starts from rest and accelerates uniformly until its angular speed reaches 15 rad s−115\,\text{rad}\,\text{s}^{-1}. The angular acceleration during this interval is 3.0 rad s−23.0\,\text{rad}\,\text{s}^{-2}. (a) Calculate the time required for the wheel to reach the angular speed of 15 rad s−115\,\text{rad}\,\text{s}^{-1}. (b) Determine the linear distance traveled by a point on the outer edge of the wheel during this acceleration interval.

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