A cyclist applies the brakes so that her bicycle’s linear speed decreases uniformly…

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

Problem

A cyclist applies the brakes so that her bicycle’s linear speed decreases uniformly from 7.2 m s−17.2\,\text{m}\,\text{s}^{-1} to rest in 2.5 s2.5\,\text{s}. Assume the wheels roll without slipping and each wheel has a radius of 0.32 m0.32\,\text{m}. Answer the following, showing all work and including correct units. (a) Calculate the bicycle’s linear deceleration. (b) Determine the corresponding constant angular deceleration experienced by the wheels. (c) Find the total angular displacement of a point on the rim of a wheel during the braking interval.

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