Question

If a point on the edge of a wheel 2 m in radius is accelerating at 2 m/s2, what is the angular acceleration of the wheel?

Answer 1

`\alpha =1\ rad/s^2`

Step-by-step explanation:

It is given that,

The radius of a wheel, r = 2 m

Tangential acceleration of the wheel,
`a=2\ m/s^2`

We need to find the angular acceleration of the wheel. We know that the relation between angular and tangential acceleration is given by :

`a=\alpha r\\\\\alpha =(a)/(r)\\\\\alpha =(2)/(2)\\\\\alpha =1\ rad/s^2`

So, the angular acceleration of the wheel is
`1\ rad/s^2`.