A wheel starts from rest

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

Problem

A wheel starts from rest. Its angular velocity increases uniformly to

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

in the first

4\,\text{s}

and then remains constant for the next

3\,\text{s}

. What is the total angular displacement of the wheel in the first

7\,\text{s}

? (a)

56\,\text{rad}

(b)

32\,\text{rad}

(c)

40\,\text{rad}

(d)

48\,\text{rad}