A rotating platform starts from rest

PHYSICS · Subjective · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A rotating platform starts from rest. Its angular acceleration is

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

for the first

1.0\,\text{s}

, then

-2.0\,\text{rad/s}^{2}

for the next

2.0\,\text{s}

, after which it is zero. Calculate the platform’s total angular displacement from

t = 0

t = 3.0\,\text{s}