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Machine Design
Design Against Static Load
GATE 2009
Medium

A 20° full depth involute spur pinion of 4 mm module and 21 teeth is to transmit 15 kW at 960 rpm. Its face width is 25 mm. The tangential force transmitted (in N) is

  • 3552
  • B2611
  • C1776
  • D1305

Explanation

Pitch diameter d=mT=4×21=84mm=0.084m. Pitch-line velocity v=πdN/60=π(0.084)(960)/60≈4.222 m/s. Tangential force Ft=Power/v=15000/4.222≈3552 N.

Source: GATE ME 2009 (2009)

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