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Gears
Gears and effort force
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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)
Example - Gear transmission and effort force
The effort force in a gear transmission with three wheels:
- wheel 1 : r1 = 0.05, R1 = 0.12
- wheel 2 : r2 = 0.06, R2 = 0.13
- wheel 3 : r3 = 0.07, R3 = 0.14
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
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Related Topics
- Mechanics - Kinematics, forces, vectors, motion, momentum, energy and the dynamics of objects
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Related Documents
- Force - Force, Newton's third Law and acceleration
- Gear Trains - A simple gear train is used to transmit rotary motion
- Mass and Weight - Weight and mass - the difference
