### The Gears

The speed of a gear, S, varies

inversely as the number of teeth, T.

If a gear with 4 teeth goes 54 rpm,

how fast will a gear with 8 teeth go?

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S1 / S2 = T2 / T1

54 / S2 = 8 / 4

(8)(S2) = (54)(4)

S2 = (54)(4)/(8)

S2 = 27

Thus S=27 rpm when T=8 teeth.

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