Acat dozes on a stationary merry-go-round, at a radius of 4.6 m from the center of the ride. then the operator turns on the ride and brings it up to its proper turning rate of one complete rotation every 5.9 s. what is the least coefficient of static friction between the cat and the merry-go-round that will allow the cat to stay in place, without sliding?

0.53

Explanation:

Given

Radius of merry-go-round

Time Period

Velocity of merry-go-round

Now Friction Force will nullify the centripetal Force

i.e.

  , where coefficient of static friction

a.) travels faster in solids because the particles are closer together.

air is a gas water is a liquid

the tires are rotating at 0.434 rpmlinear speed=45 m/sdiameter=0.550 mradius=0.275 mnow v= rωω= v/rω=45/0.275ω=163.6 rad/sω=163.6 rad/s (1rev/2π rad) (60s/1m)ω=1563 rpm