document.write( "Question 817809: the diameter of each wheel of a bicycle is 26 inches. If you are travelling at a speed 35 miles per hour on this bicycle, through how many revolutions per minute are the wheels turning? \n" ); document.write( "

Algebra.Com's Answer #492276 by TimothyLamb(4379) $\"\"$ $\"About$

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bike linear speed:
\n" ); document.write( "s = 35 miles/hour * (1/60 hr / min) * (5280 ft / mile) * (12 in / ft)
\n" ); document.write( "s = 36960 in/min
\n" ); document.write( "---
\n" ); document.write( "wheel circumference:
\n" ); document.write( "c = 2 pi r
\n" ); document.write( "c = 2 pi 13
\n" ); document.write( "c = 81.681409 in/rev
\n" ); document.write( "---
\n" ); document.write( "wheel angular speed:
\n" ); document.write( "a = s / c
\n" ); document.write( "a = 36960 in/min / 81.681409 in/rev
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "a = 452.5 rpm
\n" ); document.write( "---
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