Asked by sydney
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 :)
no idea how to solve this... please help :)
Answers
Answered by
Reiny
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.
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.
Answered by
sydney
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?
Answered by
Reiny
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
1 mile / 1 hour
= 5280 ft/ 1 hr
= 63360 inches / 1 hr
= 63360 inches / 60 minutes
= 1056 inches/min
etc
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