Algebra II Word Problem?
A bicycle's pedal gear has 48 teeth and rotates at 50 rpm. a chain links the pedal gear to a rear wheel gear that has 20 teeth. how fast is the rear wheel gear rotating?
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gears teeth to rpm is inverse ratio
so no. of teeth × rotation = constant
48 × 50 = 20 × r of rear wheel
r = 48 × 50/20 = 120
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for 1 rotation of the 48 teeth gear 20 teeth gear undergoes ( 48/20 ) 2.4 rotations... So for 50 rotation per minute speed of 48 teeth gear the wheel will rotate in 120 rpm speed