The angular displacement of a carousel is given by (in radians) where is in seconds.

PHYSICS · Multi-part · A Level · Physics · Engineering physics · Engineering physics

Problem

The angular displacement of a carousel is given by

\theta = 5t + 2t^{2}

(in radians) where

t

is in seconds. (i) Determine its instantaneous angular velocity at

t = 3\,\text{s}

.{ (ii) Calculate its angular displacement between

t = 1\,\text{s}

and

t = 3\,\text{s}