A disk rotates such that its angular velocity is at and increases uniformly to at

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

Problem

A disk rotates such that its angular velocity is 4 rad/s4\,\text{rad/s} at t=0 st = 0\,\text{s} and increases uniformly to 10 rad/s10\,\text{rad/s} at t=2.0 st = 2.0\,\text{s}. It then remains constant at 10 rad/s10\,\text{rad/s} until t=5.0 st = 5.0\,\text{s}. Determine the disk’s angular displacement Δθ\Delta\theta during the first 5.0 s5.0\,\text{s}.

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