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 rh = 8.9 m. Each of the eight horses has a mass mh = 95 kg. The ring of four elephants has a radius of re = 6.4 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 = 1550 kg and a radius of rp = 10.5 m. At it’s operating speed, the merry-go-round makes one revolution every t = 11 s. a) Calculate the moment of inertia of the carousel about its axis, in units of kilogram meters squared. b) Enter an expression for the angular speed of the carousel, in terms of the defined quantities. c) Calculate the carousel’s angular speed, in radians per second.
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 rh = 8.9 m. Each of the eight horses has a mass mh = 95 kg. The ring of four elephants has a radius of re = 6.4 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 = 1550 kg and a radius of rp = 10.5 m. At it’s operating speed, the merry-go-round makes one revolution every t = 11 s. a) Calculate the moment of inertia of the carousel about its axis, in units of kilogram meters squared. b) Enter an expression for the angular speed of the carousel, in terms of the defined quantities. c) Calculate the carousel’s angular speed, in radians per second.
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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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 rh = 8.9 m. Each of the eight horses has a mass mh = 95 kg. The ring of four elephants has a radius of re = 6.4 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 = 1550 kg and a radius of rp = 10.5 m. At it’s operating speed, the merry-go-round makes one revolution every t = 11 s.
a) Calculate the moment of inertia of the carousel about its axis, in units of kilogram meters squared.
b) Enter an expression for the angular speed of the carousel, in terms of the defined quantities.
c) Calculate the carousel’s angular speed, in radians per second.
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