Question

What is a centripetal acceleration of a point on a bicycle wheel of a radius of 0.70 m when a bike is moving 8.0 m/s

Answer 1

The acceleration of a point on the wheel is 11.43 m/s² acting radially inward.

Step-by-step explanation:

The centripetal acceleration acts on a body when it is performing a circular motion.

Here, a point on the bicycle is performing circular motion as the rotation of the wheel produces a circular motion.

The centripetal acceleration of a point moving with a velocity
`v` and at a distance of
`r` from the axis of rotation is given as:

`a=(v^2)/(r)`

Here,
`v=8\ m/s,r=0.70\ m`

∴
`a=(8)/(0.70)=11.43\ m/s^2`

Therefore, the acceleration of a point on the wheel is 11.43 m/s² acting radially inward.