Second Gear Torque

The 2nd Gear Torque equation calculates the torque of a second gear when the torque and number of teeth are known for the first gear and the number of teeth of the second gear is known.

INSTRUCTIONS: Choose units and enter the following:

• (τ) Torque of gear 1
• (T₁) Teeth in gear 1
• (T₂) Teeth in gear 2

Torque Gear 2: The calculator returns the torque in `N*M`.  However, this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The formula for the relationship between interlocked gears and their torque is: 

`tau_1 * T_1 = tau_2 * T_2`

The formula for the torque on the second gear is:

`tau_2=tau_1*T_1/T_2`

where: 

• `tau_2` is the torque on gear 2
• `tau_1` is the torque on gear 1
• `T_1` is the teeth on gear 1
• `T_2` is the teeth on gear 2

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• Second Gear Torque
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• Pulley RPMs: Computes the RPMs of a pulley based on the belt speed and diameter of the pulley.
• 2nd Pulley RPMs: Computes the RPMs of a second pulley based on the the RPMs and Diameter of the first pulley and the diameter of the second pulley.
• 2nd Pulley Diameter: Computes the diameter of a second pulley based on the RPMs and diameter of the first pulley and the RPMs of the second pulley.
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• 2nd Gear RPM: Calculates the RPMs of a second gear when the RPMs and number of teeth are known for the first gear and the number of teeth of the second gear is known,
• 2nd Gear Torque: Calculates the torque of a second gear when the torque and number of teeth are known for the first gear and the number of teeth of the second gear is known,