Question

Wheel is at rest, its angular velocity increases uniformsly and becomes 60 rad s-1 after 5 secs. Calculate the total angular displacement.

Answer 1

$$\begin{gathered} Given, \\ w1=0 \\ w2=60rad{s}^{-1} \\ \alpha =angularacceleration \\ \theta =angulardisplacement \\ w2=w1+\alpha t \\ 60=0+\alpha \times 5 \\ 12rad{s}^{-2}=\alpha \\ \theta =w1t+\frac{1}{2}\times \alpha \times t^2 \\ \theta =\frac{1}{2}\times 12\times 5^2=150rad \end{gathered}$$