A turntable starts from rest and rotates with a constant angular acceleration

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

Problem

A turntable starts from rest and rotates with a constant angular acceleration α\alpha. Point X is located at radius RR from the center, and point Y is at radius 2R2R. Which statement about the magnitudes of their tangential accelerations ata_{t} is correct? (a) at,X=at,Ya_{t,\text{X}} = a_{t,\text{Y}} because both points share the same angular acceleration. (b) at,Y=2 at,Xa_{t,\text{Y}} = 2\,a_{t,\text{X}} because tangential acceleration is directly proportional to radius. (c) Neither point experiences tangential acceleration because the angular acceleration is constant. (d) at,X=2 at,Ya_{t,\text{X}} = 2\,a_{t,\text{Y}} because point X is closer to the axis.

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