Question

A man stands on a merry go round that is rotating at 2.5rad/sec. If the coefficient of static friction between the mans shoes and the merry go round is 0.5 how far from the axis of rotation can he stand without sliding?

Answer 1

$$m\omega^2r=\mu mg$$

$$(2.5)^2r=(0.5)(9.8)$$

$$r=0.784\ m$$