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 = 110 kg. The ring of four elephants has a radius of re = 6.5 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 = 1500 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. Enter an expression for the total moment of inertia of the carousel about its axis, in terms of the defined quantities. I = Calculate the moment of inertia of the carousel about its axis, in units of kilogram meters squared. I = Enter an expression for the angular speed of the carousel, in terms of the defined quantities. ω =

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Chapter1: Units, Trigonometry. And Vectors
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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 = 110 kg. The ring of four elephants has a radius of re = 6.5 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 = 1500 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.


Enter an expression for the total moment of inertia of the carousel about its axis, in terms of the defined quantities. 


I =

Calculate the moment of inertia of the carousel about its axis, in units of kilogram meters squared. 

I =

Enter an expression for the angular speed of the carousel, in terms of the defined quantities. 
ω = 


Calculate the carousel’s angular speed, in radians per second. 
ω =
r
Transcribed Image Text:r
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