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) Enter an expression for the total moment of inertia of the carousel about its axis, in terms of the defined quantities. b) Calculate the moment of inertia of the carousel about its axis, in units of kilogram meters squared. c) Enter an expression for the angular speed of the carousel, in terms of the defined quantities.
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) Enter an expression for the total moment of inertia of the carousel about its axis, in terms of the defined quantities.
b) Calculate the moment of inertia of the carousel about its axis, in units of kilogram meters squared.
c) Enter an expression for the angular speed of the carousel, in terms of the defined quantities.
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