Question

The change in angular velocity divided by time.Also equal to a/r

Answer 1

The angular acceleration of the body in terms of the angular velocity is,

`\alpha=\frac{\text{angular velocity}}{\text{time}}`

The angular velocity in terms of the linear velocity is,

`\text{angular velocity=}(v)/(r)`

where v is the linear velocity and r is the radius,

Thus, the angular acceleration becomes,

`\begin{gathered} \alpha=(1)/(r)*(v)/(t) \\ \alpha=(a)/(r) \end{gathered}`

where a is the linear acceleration of the body,