A disk is rotating at when a constant angular deceleration of acts for a short time

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A disk is rotating at

20\,\text{rad/s}

when a constant angular deceleration of

3.0\,\text{rad/s}^2

acts for a short time, causing the disk to slow down through an angular displacement of

24\,\text{rad}

. Immediately afterward, a second constant angular deceleration of

1.0\,\text{rad/s}^2

brings the disk to rest. Through what additional angular displacement does the disk rotate during the second deceleration phase? (a)

256\,\text{rad}

(b)

128\,\text{rad}

(c)

200\,\text{rad}

(d)

64\,\text{rad}