I need help please with static friction and minimum speed!!!!

Question

A ride in the park consist of a rotating cylinder with a radius of 6.00m. After it reaches a certain speed, the floor drops away and riders are held to the walls via the force of static friction. The coefficient of static friction between a rider and the wall is 0.175. What is the minimum speed needed to ensure that the rider will not slide down the wall?

Answer 1

Here we have to solve for the minimum speed to ensure the rider won't slide down the wall. In other words, when does the centripetal force equal the frictional force, so:

F_c = F_g where

F_c = mv²/r

F_g = μN = μmg

mv²/r = μmg

v²/r = μg

v² = μgr

v = √μgr

v = √(0.175)(9.81)(6) = 3.2 m/s