A car tyre of radius starts from rest and attains a rotational speed of in with…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

A car tyre of radius 30 cm30\,\text{cm} starts from rest and attains a rotational speed of 600 rev min−1600\,\text{rev}\,\text{min}^{-1} in 8 s8\,\text{s} with uniform angular acceleration. (i) Determine the angular acceleration of the tyre. (ii) Calculate the tangential acceleration of a point on the outer tread at the instant t=5 st = 5\,\text{s} after the start. (iii) Find the corresponding centripetal acceleration of that point at t=5 st = 5\,\text{s}.

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