Shaft Torque Calculator
Determine the torque on a rotating shaft from the transmitted power and rotational speed.
Shaft Torque
95.49 N-m
Shaft Torque vs Shaft Power (P)
Formule
## Shaft Torque from Power and Speed When power and speed are known, torque can be back-calculated. ### Formula **T = P / omega = P x 60 / (2 pi N)** where P is power in watts, N is speed in RPM, and T is torque in N-m. This is essential for sizing shafts, couplings, and gearboxes.
Exemple Résolu
A 15 kW motor running at 1500 RPM.
- 01P = 15,000 W
- 02T = 15,000 x 60 / (2 x pi x 1500)
- 03T = 900,000 / 9424.8 = 95.49 N-m
Questions Fréquentes
Why does torque increase when speed decreases?
For a constant power source, torque and speed are inversely related: T = P/omega. Gearboxes exploit this by reducing speed to increase torque for heavy-duty applications.
How do I size a shaft for this torque?
The shaft diameter depends on the allowable shear stress: d = (16T / (pi tau_allow))^(1/3). For solid circular shafts, this comes from the torsion formula tau = Tc/J.
What is the relationship between torque in N-m and lb-ft?
1 N-m = 0.7376 lb-ft. Multiply N-m by 0.7376 to convert to lb-ft, or divide lb-ft by 0.7376 to get N-m.
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