document.write( "Question 438802: Sami has a 10 speed bike. the radius of the large sprocket attached to the pedal is 4 inches. In 7th gear, the radius of the sprocket attached to the back wheel is 1.5 inches. When sami makes the pedal go 1 revolution, the bike travels 100 feet. What is the radius of the wheel of Sami's bike? \n" ); document.write( "

Algebra.Com's Answer #303350 by stanbon(75887) $\"\"$ $\"About$

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Sami has a 10 speed bike. the radius of the large sprocket attached to the pedal is 4 inches. In 7th gear, the radius of the sprocket attached to the back wheel is 1.5 inches. When sami makes the pedal go 1 revolution, the bike travels 100 feet. What is the radius of the wheel of Sami's bike?
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\n" ); document.write( "Circumference of a circle = (pi)d where d is the diameter.
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\n" ); document.write( "Circumference of large sprocket = 8(pi) inches
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\n" ); document.write( "Circum of small sprocket = 3(pi)
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\n" ); document.write( "When large moves 1 revolution small moves 8/3 revolutions.
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\n" ); document.write( "Distance traveled per revolution = 100ft/(8/3) = 300/8 = 37.5 ft
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\n" ); document.write( "Circumference of wheel on Sami's bike = 37.5ft
\n" ); document.write( "---
\n" ); document.write( "C = (pi)(2r)
\n" ); document.write( "37.5/(2pi)= r
\n" ); document.write( "radius = 5.97 ft.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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