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?

Question

asked Jun 21, 2020 213k views

1 Answer

Elo Peri · Answer 1 · 2020-06-26T18:47:24+0000

Answer:

594 rpm

Explanation:

Two gears will have the same linear speed, so:

v₁ = v₂

ω₁ r₁ = ω₂ r₂

(316 rpm) (79) = ω (42)

ω ≈ 594 rpm