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A gear is a mechanical device that can transmit rotary motion and change both the magnitude and the line of action of an effort force.
The effort force can be expressed as
F = W (r1 r2 .. rn) / (R1 R2 .. Rn) (1)
where
F = effort force (N, lb)
W = load force or weight (N, lb)
r = gear wheel inside diameter (m, in)
R = gear wheel outside diameter (m, in)
The effort force in a gear transmission with three wheels:
and a weight load of 1000 N can be calculated as
F = W (r1 r2 .. rn) / (R1 R2 .. Rn)
= 1000 (N) (0.05 (m) 0.06 (m) 0.07 (m)) / (0.12 (m) 0.13 (m) 0.14 (m))
= 96 N