A simple gear train consists of four gears. Gear A (driving) has 20 teeth and rotates at 1200 rpm. It meshes with gear B (driven) which has 40 teeth. Gear B is fixed on the same shaft as gear C (idler) having 30 teeth; gear C meshes with gear D (output) which has 60 teeth. Each mesh operates with an efficiency of 90 %.

(i) Find the angular speed of gear D in revolutions per minute.
(ii) If the input power to gear A is 150 W, determine the power delivered by gear D.

Question

A simple gear train consists of four gears. Gear A (driving) has 20 teeth and rotates at 1200 rpm. It meshes with gear B (driven) which has 40 teeth. Gear B is fixed on the same shaft as gear C (idler) having 30 teeth; gear C meshes with gear D (output) which has 60 teeth. Each mesh operates with an efficiency of 90 %.

(i) Find the angular speed of gear D in revolutions per minute.
(ii) If the input power to gear A is 150 W, determine the power delivered by gear D.

Accepted Answer

ω_D = 300 rpm; output power = 1.22×10^2 W

Gce Model Questions Vol1 2025 Physics Question 3

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