document.write( "Question 937869: Suppose you can ride a bicycle a distance of 5 miles in 15 minutes. If you ride at a constant speed and if the bicycle's wheels have diameter 27 inches, find the wheels' approximate rate of turn (in revolutions per minute) \n" ); document.write( "
Algebra.Com's Answer #571273 by TimothyLamb(4379)\"\" \"About 
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linear speed of bike:
\n" ); document.write( "s = linear speed
\n" ); document.write( "d = distance
\n" ); document.write( "t = time
\n" ); document.write( "s = d/t
\n" ); document.write( "s = 5/15
\n" ); document.write( "s = (1/3) mile/minute
\n" ); document.write( "s = (1/3) mile/minute * (5280 ft/mile) * (12 inches/ft)
\n" ); document.write( "s = 21120 inches/minute
\n" ); document.write( "---
\n" ); document.write( "wheel parameters:
\n" ); document.write( "c = circumference
\n" ); document.write( "r = radius
\n" ); document.write( "d = diameter
\n" ); document.write( "c = 2*pi*r
\n" ); document.write( "c = pi*d
\n" ); document.write( "c = 3.1415*27
\n" ); document.write( "c = 84.8230016469 inches
\n" ); document.write( "note that one revolution = c arc length along the road
\n" ); document.write( "---
\n" ); document.write( "angular speed of wheel (rate of turn):
\n" ); document.write( "rpm = s/c
\n" ); document.write( "rpm = (21120 inches/minute) / (84.8230016469 inches)
\n" ); document.write( "rpm = 248.989066526
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "249 rev/minute
\n" ); document.write( "---
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