A turntable’s angular velocity varies with time as follows: it increases uniformly…

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

Problem

A turntable’s angular velocity ω\omega varies with time as follows: it increases uniformly from 0 rad/s0\,\text{rad/s} at t=0 st=0\,\text{s} to 20 rad/s20\,\text{rad/s} at t=2 st=2\,\text{s}, remains constant at 20 rad/s20\,\text{rad/s} until t=4 st=4\,\text{s}, and then decreases uniformly to 0 rad/s0\,\text{rad/s} at t=6 st=6\,\text{s}. For a point located 0.10 m0.10\,\text{m} from the axis, during which time interval is the tangential component of acceleration equal to zero? (a) from t=0 st=0\,\text{s} to t=2 st=2\,\text{s} only (b) throughout the entire 00–6 s6\,\text{s} interval (c) from t=2 st=2\,\text{s} to t=4 st=4\,\text{s} only (d) from t=4 st=4\,\text{s} to t=6 st=6\,\text{s} only

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