The angular position of a rotating rigid body is given by (in radians) where is in…

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

The angular position of a rotating rigid body is given by

\theta = 5t^{2}

(in radians) where

t

is in seconds. (a) Calculate the average angular velocity between

t = 0\,\text{s}

and

t = 2\,\text{s}

. (b) Find the instantaneous angular velocity at

t = 2\,\text{s}