SOLUTION: A bicycle has wheels that are 26 inches in diameter. If the bike is traveling at 14 miles per hour, what is the angular speed of each wheel?

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Question 896203: A bicycle has wheels that are 26 inches in diameter. If the bike is traveling at 14 miles per hour, what is the angular speed of each wheel?
Found 2 solutions by lwsshak3, adamhen894:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
A bicycle has wheels that are 26 inches in diameter. If the bike is traveling at 14 miles per hour, what is the angular speed of each wheel?
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circumference of wheel=π*dia=26π inches
..
angular speed=
mi, hr, ft, π cancel out
%2814%2A5280%2A2%2A12%29%2F%2826%2A3600%29=18.95%28radians%2Fsec%29

Answer by adamhen894(15) About Me  (Show Source):
You can put this solution on YOUR website!
let x be amount of revolution / sec.
radius of wheel = 13 inches
circumference = 2*pi*r = 2*pi*13 = 26pi inches ( linear distance one revolution of wheel can traveled)
one mile = 63360 inches
one hour = 3600 sec.
and bike is traveling at speed of 14 miles/hour = 887040 inches/hour = 887040 inches/ 3600 sec.
x = (887040 inches/ 3600 sec.)/(26pi inches) = 18.953846154 rev./sec.
x is roughly 19 rev./sec.
if you have alternative ways of solving it, i would love to hear from you. thank you
adamchen894@gmail.com