Project ForgeMachine Design
Design Against Static Load
GATE 2007
Hard
For the same gear set (20T pinion at pitch diameter 100mm, 30 rev/s, transmitting 2kW, 20° pressure angle), the resultant force on the contacting gear tooth in N is
- A77.23
- B212.20
- 225.80
- D289.43
Explanation
Pitch line velocity v=ω×r=(2π×30)×0.05≈9.425 m/s. Tangential force Ft=Power/v=2000/9.425≈212.2 N. Resultant (normal) tooth force = Ft/cosφ = 212.2/cos20° ≈225.8 N.
Source: GATE ME 2007 (2007)
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