A horizontal turntable starts from rest and reaches an angular speed of in with…

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

Problem

A horizontal turntable starts from rest and reaches an angular speed of

5.0\,\text{rad}\,\text{s}^{-1}

2.0\,\text{s}

with uniform angular acceleration. At the same instant, the tangential (linear) acceleration of a point on its edge is measured to be

1.4\,\text{m}\,\text{s}^{-2}

. Determine the radius of the turntable.