A wheel starts from rest and rotates with a constant angular acceleration of

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

Problem

2\,\text{rad}\,\text{s}^{-2}

. For a point on its rim of radius

0.25\,\text{m}

, after how much time will the resultant acceleration make an angle of

30^{\circ}

with the tangential direction? (a)

0.93\,\text{s}

(b)

0.54\,\text{s}

(c)

1.07\,\text{s}

(d)

0.27\,\text{s}