+1 vote
in Machine Kinematics by (38.0k points)
If the pressure angle of the rack is 20°, then force acting along the line of action between the rack and the gear teeth is

(a) 250 N

(b) 342 N

(c) 532 N

(d) 600 N

I have been asked this question during an interview.

Origin of the question is Standard Spur Gears topic in section Toothed Gearing & Gear Trains of Machine Kinematics

1 Answer

0 votes
by (106k points)
The correct choice is (c) 532 N

Best explanation: Pcos φ = F

∴ Force acting along the line of action,

P = F/cos φ

  = 500/cos20°

  = 532 N.

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