Question

A child pushes, with a constant force, a merry-go-round with a radius of 3 m, from rest toan angular velocity of 4 Rad/s. What is the merry-go-round's centripetal acceleration atthis point?

Answer 1

The centripetal acceleration is given by:

`a=\omega^2r`

where ω is the angular velocity and r is the radius. In this case the angular velocity is 4 rad/s and the radius is 3 m; plugging these values we have:

`\begin{gathered} a=(4^2)(3) \\ a=48 \end{gathered}`

Therefore, the centripetal acceleration is 48 meters per second per second.