Physics

Problem

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

\alpha

. Point X is located at radius

R

from the center, and point Y is at radius

2R

. Which statement about the magnitudes of their tangential accelerations

a_{t}

is correct? a)

a_{t,\text{X}} = a_{t,\text{Y}}

because both points share the same angular acceleration. b)

a_{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)

a_{t,\text{X}} = 2\,a_{t,\text{Y}}

because point X is closer to the axis.

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