Question

Concept 8A/B: This fall, my husband, kids and I were visiting our home town during Pacelli Panacea (a popular carnival-type event). At Panacea, and many amusement parks, there is a popular ride where the floor of a rotating cylindrical room falls away, leaving the backs of the riders ‘plastered’ against the wall. Suppose the radius of the room is 3.30m and the speed of the wall is 10.0 m/s when the floor falls away.a. Concept 8A: What is the source of the centripetal force acting on the riders? Explain your answer (a picture/FBD may help in your explanation).b. Concept 8B: How much centripetal force acts on a 55.0 kg rider? c. Concept 8B: What is the minimum coefficient of static friction that must exist between a rider’s back and the wall, if the rider is to remain in place when the floor drops away?

Answer 1

Solution (a.) 1. Centripetal force is provided by the wall of drum against which xi'der's are . preesing, i.e. I normal force through ' the wall. L 16.) FBD: Jo n crider. rides. my2 drum Centripetal force, Fe = my? = (55.0kg) (100m) 13.30m) 1 mg 1666.67 N (C.) E Fy=0 f-mg =0 - MEN - mg=0 MFc - mg=0. M = mg (55.0kg ) (9.81 m/s2) Fc (1666.67N) M = 0.3237

The minimum coefficient of static friction is 0.3237