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Problem 5: A merry-go-round at an amusement park consists of an outer ring of horses and an inner ring of elephants. The ring of eight horses has a radius of r = 8.3 m. Each of the eight horses has a mass m = 95 kg. The ring of four elephants has a radius of r. = 6.1 m and each of the four elephants has a mass m. = 195 kg. The platform of the merry-go-round itself has a mass of m, = 1600 kg and a radius of . 'p 10.5 m. At it's operating speed, the merry-go-round makes one revolution every t 11 = S. of the defined quantities. Part (a) Enter an expression for the total moment of inertia of the carousel about its axis, in Expression : Select from the variables below to write your expression. Note that all variables may not be required. a, ß, 0, d, g, h, m, me, m, m,, P, re, rh, rp, t Part (b) Calculate the moment of inertia of the carousel about its axis, in units of kilogram meters squared. Numeric : A numeric value is expected and not an expression. I = Part (c) Enter an expression for the angular speed of the carousel, in terms of the defined quantities. Expression : Select from the variables below to write your expression. Note that all variables may not be required. a, ß, A, 0, d, g, h, m, me, mh, m,, P, re, rh, t Part (d) Calculate the carousel's angular speed, in radians per second. Numeric : A numeric value is expected and not an expression.

Problem 5: A merry-go-round at an amusement park consists of an outer ring of horses and an inner ring of elephants. The ring of eight horses has a radius of r = 8.3 m. Each of the eight horses has a mass m = 95 kg. The ring of four elephants has a radius of r. = 6.1 m and each of the four elephants has a mass m. = 195 kg. The platform of the merry-go-round itself has a mass of m, = 1600 kg and a radius of . 'p 10.5 m. At it's operating speed, the merry-go-round makes one revolution every t 11 = S. of the defined quantities. Part (a) Enter an expression for the total moment of inertia of the carousel about its axis, in Expression : Select from the variables below to write your expression. Note that all variables may not be required. a, ß, 0, d, g, h, m, me, m, m,, P, re, rh, rp, t Part (b) Calculate the moment of inertia of the carousel about its axis, in units of kilogram meters squared. Numeric : A numeric value is expected and not an expression. I = Part (c) Enter an expression for the angular speed of the carousel, in terms of the defined quantities. Expression : Select from the variables below to write your expression. Note that all variables may not be required. a, ß, A, 0, d, g, h, m, me, mh, m,, P, re, rh, t Part (d) Calculate the carousel's angular speed, in radians per second. Numeric : A numeric value is expected and not an expression.

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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Problem 5: A merry-go-round at an amusement park consists of an outer ring of horses and an inner ring of elephants. The ring of eight horses has a radius of r = 8.3 m. Each of the eight horses has a mass m, = 95 kg. The ring of four elephants has a radius of r = 6.1 m and each of the four elephants has a mass me = 195 kg. The platform of the merry-go-round itself has a mass of mp = 1600 kg and a radius of r, = 10.5 m. At it's operating speed, the merry-go-round makes one revolution every t = 11 s. Part (a) Enter an expression for the total moment of inertia of the carousel about its axis, in terms of the defined quantities. Expression : Select from the variables below to write your expression. Note that all variables may not be required. a, ß, 0, d, g, h, m, mẹ, mħ, mp P, re, ľh» *p» t Part (b) Calculate the moment of inertia of the carousel about its axis, in units of kilogram meters squared. Numeric : A numeric value is expected and not an expression. I = Part (c) Enter an expression for the angular speed of the carousel, in terms of the defined quantities. Expression : Select from the variables below to write your expression. Note that all variables may not be required. a, ß, A, 0, d, g, h, m, mẹ, mh» mp; ,P,re, rh,t Part (d) Calculate the carousel's angular speed, in radians per second. Numeric : A numeric value is expected and not an expression.
Transcribed Image Text:Problem 5: A merry-go-round at an amusement park consists of an outer ring of horses and an inner ring of elephants. The ring of eight horses has a radius of r = 8.3 m. Each of the eight horses has a mass m, = 95 kg. The ring of four elephants has a radius of r = 6.1 m and each of the four elephants has a mass me = 195 kg. The platform of the merry-go-round itself has a mass of mp = 1600 kg and a radius of r, = 10.5 m. At it's operating speed, the merry-go-round makes one revolution every t = 11 s. Part (a) Enter an expression for the total moment of inertia of the carousel about its axis, in terms of the defined quantities. Expression : Select from the variables below to write your expression. Note that all variables may not be required. a, ß, 0, d, g, h, m, mẹ, mħ, mp P, re, ľh» *p» t Part (b) Calculate the moment of inertia of the carousel about its axis, in units of kilogram meters squared. Numeric : A numeric value is expected and not an expression. I = Part (c) Enter an expression for the angular speed of the carousel, in terms of the defined quantities. Expression : Select from the variables below to write your expression. Note that all variables may not be required. a, ß, A, 0, d, g, h, m, mẹ, mh» mp; ,P,re, rh,t Part (d) Calculate the carousel's angular speed, in radians per second. Numeric : A numeric value is expected and not an expression.
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