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Question 298784: If the minute hand of a big clock is 1.12m long, find the rate at which its tip is moving in centimetres per minute.
Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! If the minute hand of a big clock is 1.12m long, find the rate at which its tip is moving in centimetres per minute.
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If the minute hand were to move for an entire hour (60 minutes), it would in an entire circle. The distance would be the circumference. Circumference = (pi)d = (pi)2r
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The radius is the length of the minute hand (1.12m).
Convert this into cm:
1.12*100 = 112 cm
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Distanced moved in 1 hour:
(pi)2r = (3.14)2(112) = 703.36 cm
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So, the tip is moving at a rate of:
703.36 cm per 60 minutes
703.36/60
11.72 cm per minute
11.72 cm/min
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