A wheel is at rest. Its angular velocity increases uniformly and becomes radians second after seconds. the total angular displacement is:
Step 1: Concept used
The angular velocity is assumed to rise evenly.
The angular acceleration must always be the same.
Given that it begins at rest and that the total angular velocity is rad/sec in seconds,
Step 2: Calculation of circular motion
By the equation of circular motion,
Step 3: Find the total angular displacement
The expression to find the angular displacement is given as :
Therefore, the total angular displacement is .