Two gears are connected. Gear A has 10 teeth, while gear b has 40 teeth. If gear B turns at 10 rpms, how fast will gear a turn?

w₁ = 40 rpm

Explanation:

Number of teeth of gear A = 10

Number of teeth of gear B = 40

Speed of gear B = w₂ = 10 rpm

Speed of gear A = w₁ = ?

Gear ratio is given by:

N₁/N₂ = w₂ / w₁

w₁ = N₂/N₁ * w₂

⇒ w₁ = 40/10 * 10

⇒ w₁ = 40 rpm