Posted by Anonymous on Tuesday, September 11, 2007 at 9:04pm.
It is known that when a car with wheels of radius 14 in. is driven at 35 mph, the wheels turn at an approximate rate of 420 revoulutions for minute. Show how to obtain this rate of turn.
If you ride a bicycle a distance of 5 miles in 15 minutes at a constant speed and if the bicycle's wheels have diameter 27 in., find the wheels approximate rate of turn (in revoultions per minute)
Can someone at least help me get started even if you cannot answer the question completely. Thanks

Honors PreCalculus  bobpursley, Tuesday, September 11, 2007 at 9:21pm
THe wheel has to cover 5 miles, right? So divide the 5miles by the wheel circumference to get the number of turns, and then divide by time.

Honors PreCalculus  Ms. Sue, Tuesday, September 11, 2007 at 10:01pm
What part of Mr. Pursley's explanation don't you understand? He's given you these steps:
Divide the 5 miles by the wheel circumference. That gives you the number of turns.
Divide the number of turns by the time.

Honors PreCalculus  bobpursley, Tuesday, September 11, 2007 at 10:17pm
number of turns=5miles/(27inches*PI)
Now, you have to convert miles to inches to divide this out.
Then, after you get revolutions from the above, divide by 15 min to get rev/min
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