Answer:
The acceleration of a point on the wheel is 11.43 m/s² acting radially inward.
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 [tex]v[/tex] and at a distance of [tex]r[/tex] from the axis of rotation is given as:
[tex]a=\frac{v^2}{r}[/tex]
Here, [tex]v=8\ m/s,r=0.70\ m[/tex]
∴ [tex]a=\frac{8}{0.70}=11.43\ m/s^2[/tex]
Therefore, the acceleration of a point on the wheel is 11.43 m/s² acting radially inward.