A flywheel is subjected to a constant clockwise angular acceleration for 1.5 s

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A flywheel is subjected to a constant clockwise angular acceleration for 1.5 s, after which the net torque becomes zero and the flywheel coasts at constant angular speed. Which statement best describes the angular velocity ω\omega and angular displacement θ\theta at the instant t=1.5 st=1.5\,\text{s}? (a) Because the torque stops abruptly, ω\omega drops instantaneously, so ω\omega is discontinuous while θ\theta changes smoothly. (b) Zero net torque means no rotation, so ω=0\omega = 0 at 1.5 s1.5\,\text{s} even though the wheel has already turned through a finite angle. (c) Both ω\omega and θ\theta remain continuous; each has a single definite value at t=1.5 st = 1.5\,\text{s}. (d) At 1.5 s1.5\,\text{s} the wheel has just started turning, so θ=0\theta = 0 while ω\omega has reached its greatest value.

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