algebra

A clock has a minute hand that is 14 feet long and an hour hand that is 9 feet long. What is the average speed (in mph) of the tip of the minute hand
no idea how to solve this... please help :)

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asked by sydney
  1. That is one monster clock!!

    one rotation of the minute hand is
    2πr = 2π(14) = 28π ft

    so it does 28π ft/ 1 hr
    = (28π/5280) mph
    = appr .01666 mph

    Why would you measure in mph ?
    inches/min might be a more useful unit.

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    posted by Reiny
  2. wow your a genius! yeah I have no idea either... one more question :) how would you solve backwards to find length of the minute hand if the average speed was 1 mph?

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    posted by sydney
  3. just keep replacing the units

    1 mile / 1 hour
    = 5280 ft/ 1 hr
    = 63360 inches / 1 hr
    = 63360 inches / 60 minutes
    = 1056 inches/min
    etc

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    posted by Reiny

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