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Torque in Gear Drives Formulas

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Torque in Gear Drives Formulas

The lever arm of a gear is half of its reference diameter d. Different torques result if twoengaging gears do not have the same number of teeth.

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Torque formulas;

M1 = ( Ft1 · d1 ) / 2

M2 = ( Ft2 · d2 ) / 2

M2 = i · M1

M2 / M1 = z2 / z1

M2 / M1 = n2 / n1

Driving Gear declarations

Ft1 = tangential force,
M1 = torque,
d1 = reference diameter,
z1 = number of teeth,
n1 = ratational speed.

Driven Gear declarations

Ft1 = tangential force,
M1 = torque,
d1 = reference diameter,
z1 = number of teeth,
n1 = rotational speed.

Driving and Driven Gear declaration

i = gear ratio

References:

Mechanical and Metal Trades Handbook, 2nd Edition
2010
Ulrich Fischer, Roland Gomeringer, Max Heinzler, Roland Kilgus, Friedrich Naher, Stefan Oesterle, Heinz Paetzold, Andreas Stephan

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