Gear Reducing Formulas

Output torque, speed and horsepower when using gears

Gear - transmission ratio

Gear Output Torque

Mo = Mi r μ                               (1)

where 

Mo = output torque (Nm, lbfft)

Mi = input torque (Nm, lbfft)

r = gear transmission ratio

μ = gear efficiency (%)

Gear Output Speed

So = Si  μ / r                             (2)

where 

So = output speed (rad/s, rpm)

Si = input speed (rad/s, rpm)

Gear Output Horsepower

Po = Pi  μ                              (3)

where 

Po = output horsepower (W, hp)

Pi = input horsepower (W, hp)

Related Topics

  • Mechanics - Forces, acceleration, displacement, vectors, motion, momentum, energy of objects and more

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