SOLUTION: The tires of a bicycle have radius 12 inches and are turning at the rate of 180 revolutions per minute. How far is the bicycle traveling in miles per hour? (Hint: 5280 ft=1mile)

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: The tires of a bicycle have radius 12 inches and are turning at the rate of 180 revolutions per minute. How far is the bicycle traveling in miles per hour? (Hint: 5280 ft=1mile)      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 293021: The tires of a bicycle have radius 12 inches and are turning at the rate of 180 revolutions per minute. How far is the bicycle traveling in miles per hour? (Hint: 5280 ft=1mile)
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
The tires of a bicycle have radius 12 inches and are turning at the rate of 180 revolutions per minute. How far is the bicycle traveling in miles per hour? (Hint: 5280 ft=1mile)
.
To find out how far the bike travels on a single revolution we need to find the circumference:
circumference = 2(pi)r = 2(3.14)(12) = 75.36 inches
.
So, if the wheels are turning at 180 revolutions per minute then:
180 rev/1 minute * 73.36 inches/rev = 13564.8 inches per minute
.
Now we convert to mph:
13564.8 inches/minute * 1ft/12inches * 1 mile/5280ft * 60 min/1 hour
= 12.85 mph