The speed of a bicycle gear, in revolutions per minute, is inversely proportional to the number of teeth on the gear. Let s represent the speed of the bicycle gear (in rpm), let n represent the number of teeth on the gear, and let k be the constant of proportionality. Write an equation that relates s to n. s =     A gear with 56 teeth has a speed of 30 revolutions per minute. Use the equation that relates s to n and the known information to find k. k = What will be the speed of a gear (in rpm) with 48 teeth? rpm

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The speed of a bicycle gear, in revolutions per minute, is inversely proportional to the number of teeth on the gear. Let s represent the speed of the bicycle gear (in rpm), let n represent the number of teeth on the gear, and let k be the constant of proportionality. Write an equation that relates s to n.
s =
 
 
A gear with 56 teeth has a speed of 30 revolutions per minute. Use the equation that relates s to n and the known information to find k.
k =
What will be the speed of a gear (in rpm) with 48 teeth?
rpm
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