Direction: A compacting machine shown in the figure below is used to create a desired thrust force by using a rack and pinion arrangement. The input gear is mounted on the motor shaft. The gears have involute teeth of 2 mm module.
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If the pressure angle of the rack is 20°, the force acting along the line of action between the rack and the gear teeth is
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- 250 N
- 342 N
- 532 N
- 600 N
- 250 N
Correct Option: C
P cos φ = F
∴ Force acting along the line of action,
P = | = | = 532 N | ||
cos φ | cos 20° |