A body rotates with an angular velocity that changes linearly with time as follows: •…

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

Problem

A body rotates with an angular velocity that changes linearly with time as follows: • It increases uniformly from

0

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

in the first

2\,\text{s}

. • It then decreases uniformly to

-5\,\text{rad s}^{-1}

t = 5\,\text{s}

. Taking counter-clockwise rotation as positive, what is the net angular displacement of the body from

t = 0

t = 5\,\text{s}

? (a)

20\,\text{rad}

(b)

17.5\,\text{rad}

(c)

12.5\,\text{rad}

(d)

15\,\text{rad}