Question

A bicycle wheel starts at rest and has a constant angular acceleration $\alpha$.At time $t$ ,it has roated through an angle $\theta$ and has an angular velocity $\omega$.What are $\omega$ and $\alpha$ in term of $\theta$ and $t$

Answer 1

We know $\omega ={\omega }_0^2+2\alpha \theta$

and $\alpha =\frac{{\omega }_0-\omega }{t}$

Here $\alpha$=angular acceleration

$\omega$= final angular velocity

${\omega }_0$=initial angular velocity

$t$=time and $\theta$=angle