1. In a classic carnival ride patrons stand against the wall in a cylindrically shaped room. Once the roomgets spinning fast enough, the floor drops from the bottom of the room! Friction between the walls ofthe room and the people on the ride make them the "stick" to the wall so they do not slide down. Inone ride, the radius of the cylindrical room is 9 m and the room spins with a frequency f of 22.5revolutions per minute.(a) Draw a FBDIn your notebook, draw a free body diagram of the rider. The forces acting on the rider are thefrictional force that counters slipping, f, the weight, mg, and the normal force N, between the walland the rider.Think: Which forces act in the vertical direction and which forces act in the horizontaldirection.(b) Identify the centripetal force (c) Set up Newton's Second Laws in the vertical and horizontal directions SYMBOLICALLY interms of the normal force N, the static friction force f, and the weight mg:Note: Consider the direction toward the center of the circle and the upward directions aspositive.(0) ΣF=(ii) ΣF== max= may(iii) In which direction does the centripetal force act?O The positive x-directionO The negative x-directionO The positive y-directionO The negative y-directionThink: Which acceleration, a¸ or a,, represents the radial acceleration? Which acceleration, axor ay,is zero? How is the radial acceleration related to the spinning frequency?(d) Calculate Numerical ValuesUsing part (c):(i) Calculate the normal force on the wall from a rider of mass 57.5 kg.N=N(ii) Calculate the minimum coefficient of friction needed between the wall and the person.Hs=

Question

1. In a classic carnival ride patrons stand against the wall in a cylindrically shaped room. Once the roomgets spinning fast enough, the floor drops from the bottom of the room! Friction between the walls ofthe room and the people on the ride make them the &#34;stick&#34; to the wall so they do not slide down. Inone ride, the radius of the cylindrical room is 9 m and the room spins with a frequency f of 22.5revolutions per minute.(a) Draw a FBDIn your notebook, draw a free body diagram of the rider. The forces acting on the rider are thefrictional force that counters slipping, f, the weight, mg, and the normal force N, between the walland the rider.Think: Which forces act in the vertical direction and which forces act in the horizontaldirection.(b) Identify the centripetal force (c) Set up Newton's Second Laws in the vertical and horizontal directions SYMBOLICALLY interms of the normal force N, the static friction force f, and the weight mg:Note: Consider the direction toward the center of the circle and the upward directions aspositive.(0) ΣF=(ii) ΣF== max= may(iii) In which direction does the centripetal force act?O The positive x-directionO The negative x-directionO The positive y-directionO The negative y-directionThink: Which acceleration, a¸ or a,, represents the radial acceleration? Which acceleration, axor ay,is zero? How is the radial acceleration related to the spinning frequency?(d) Calculate Numerical ValuesUsing part (c):(i) Calculate the normal force on the wall from a rider of mass 57.5 kg.N=N(ii) Calculate the minimum coefficient of friction needed between the wall and the person.Hs=

Accepted Answer

Free Body Diagram