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19-12-2019
Mathematics

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A 79-tooth gear drives a smaller gear which has 42 teeth. If the larger gear rotates at 316 rpm, what is the speed of the smaller gear, to the nearest rpm?

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MathPhys MathPhys

19-12-2019

Answer:

594 rpm

Step-by-step explanation:

Two gears will have the same linear speed, so:

v₁ = v₂

ω₁ r₁ = ω₂ r₂

(316 rpm) (79) = ω (42)

ω ≈ 594 rpm

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