SOLUTION: At the San Francisco Cable Car Museum you can see the four cable lines that are used to pull cable cars up and down the hills of the city. Each cable car travels at a speed of 9.

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Question 883557: At the San Francisco Cable Car Museum you can see the four cable lines
that are used to pull cable cars up and down the hills of the city. Each cable car travels at a speed of 9.55 miles per hour caused by a rotating wheel whose diameter is 8.5 feet.
a) How fast is the wheel rotating? Express your answer in feet/minute rounded to the nearest tenth of a foot per minute.
b) What is the speed of the wheel in revolutions per minute? Round your answer to the nearest hundredth of a revolution/minute.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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At the San Francisco Cable Car Museum you can see the four cable lines
that are used to pull cable cars up and down the hills of the city.
Each cable car travels at a speed of 9.55 miles per hour caused by a rotating wheel whose diameter is 8.5 feet.
:
a) How fast is the wheel rotating? Express your answer in feet/minute rounded to the nearest tenth of a foot per minute.
Find the speed of the cable car in ft/min
%28%289.55%2A5280%29%29%2F60 = 840 ft/min
b) What is the speed of the wheel in revolutions per minute? Round your answer to the nearest hundredth of a revolution/minute.
Find the circumference of the wheel
C = pi%2A8.5
C = 25.447 ft is the circumference of the wheel
Find the rpm
840.4%2F25.447 = 33.03 rev/min