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In a classic carnival ride patrons stand against the wall in a cylindrically shaped room. Once the room gets spinning fast enough, the floor drops from the bottom of the room! Friction between the walls of the room and the people on the ride makes them "stick" to the wall so they do not slide down. In one ride, the radius of the cylindrical room r is 7 m and the room spins with a frequency f of 22 revolutions per minute. Assume all quantities to be correct to 3 significant figures.

In a classic carnival ride patrons stand against the wall in a cylindrically shaped room. Once the room gets spinning fast enough, the floor drops from the bottom of the room! Friction between the walls of the room and the people on the ride makes them "stick" to the wall so they do not slide down. In one ride, the radius of the cylindrical room r is 7 m and the room spins with a frequency f of 22 revolutions per minute. Assume all quantities to be correct to 3 significant figures.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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i need all of part c please and will rate highly *32

1. In a classic carnival ride patrons stand against the wall in a cylindrically shaped room. Once the room gets spinning fast enough, the floor drops from the bottom of the room! Friction between the walls of the room and the people on the ride makes them "stick" to the wall so they do not slide down. In one ride, the radius of the cylindrical room r is 7 m and the room spins with a frequency f of 22 revolutions per minute. Assume all quantities to be correct to 3 significant figures. (a) Draw a FBD In your notebook, draw a free body diagram of the rider. The forces acting on the rider are the frictional force that counters slipping, fs, the weight, mg, and the normal force N, between the wall and the rider. S' Think: Which forces act in the vertical direction and which forces act in the horizontal direction. (b) Identify the centripetal force (i) What force provides the centripetal force in this case? Normal Force Frictional Weight (c) Set up Newton's Second Laws in the vertical and horizontal directions SYMBOLICALLY in terms of the normal force N, the static friction force f and the weight mg: S
Transcribed Image Text:1. In a classic carnival ride patrons stand against the wall in a cylindrically shaped room. Once the room gets spinning fast enough, the floor drops from the bottom of the room! Friction between the walls of the room and the people on the ride makes them "stick" to the wall so they do not slide down. In one ride, the radius of the cylindrical room r is 7 m and the room spins with a frequency f of 22 revolutions per minute. Assume all quantities to be correct to 3 significant figures. (a) Draw a FBD In your notebook, draw a free body diagram of the rider. The forces acting on the rider are the frictional force that counters slipping, fs, the weight, mg, and the normal force N, between the wall and the rider. S' Think: Which forces act in the vertical direction and which forces act in the horizontal direction. (b) Identify the centripetal force (i) What force provides the centripetal force in this case? Normal Force Frictional Weight (c) Set up Newton's Second Laws in the vertical and horizontal directions SYMBOLICALLY in terms of the normal force N, the static friction force f and the weight mg: S
(c) Set up Newton's Second Laws in the vertical and horizontal directions SYMBOLICALLY in terms 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 as positive. (i) ΣFx= m(rf²) √ = max (ii) ΣF,= fs-mg = may (iii) In which direction does the centripetal force act? The positive x-direction O The negative x-direction O The positive y-direction O The negative y-direction Think: Which acceleration, a¸ or a,, represents the radial acceleration? Which acceleration, ax or ayr is zero? How is the radial acceleration related to the spinning frequency?
Transcribed Image Text:(c) Set up Newton's Second Laws in the vertical and horizontal directions SYMBOLICALLY in terms 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 as positive. (i) ΣFx= m(rf²) √ = max (ii) ΣF,= fs-mg = may (iii) In which direction does the centripetal force act? The positive x-direction O The negative x-direction O The positive y-direction O The negative y-direction Think: Which acceleration, a¸ or a,, represents the radial acceleration? Which acceleration, ax or ayr is zero? How is the radial acceleration related to the spinning frequency?
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