SOLUTION: A merry go round horse is traveling 10 feet per second when the merry go round is making 6 revolutions in one minute. How far is the horse from the center of the merry go round

Question 642746: A merry go round horse is traveling 10 feet per second when the merry go round is making 6 revolutions in one minute. How far is the horse from the center of the merry go round
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A merry go round horse is traveling 10 feet per second when the merry go round is making 6 revolutions in one minute. How far is the horse from the center of the merry go round
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let r=distance horse is from center of the merry go round (ft)
let c=distance merry go round travels in one revolution=2πr(ft)
speed of horse=linear speed of merry go round
10ft/sec=6 rev/min*2πr ft/rev*min/60sec=12πrft/60sec=πr/5 ft/sec
10ft/sec=πr/5 ft/sec
10=πr/5
r=50/π ft
distance horse is from center of the merry go round=50/π ft
..
check:
distance merry go round travels in one revolution=2πr(ft)=2π*50/π=100 ft
in 6 revolutions, distance=600 ft
600 ft/min=600 ft/60 sec=10 ft/sec=speed of horse

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