Worm Gear Torque Calculator:
Enter the values of load torque, L(N.m) and the gear ratio, r to generate the value of the torque output of a worm gear, Twg(N.m).
Worm Gear Torque Formula:
The worm gear torque formula is fundamental in understanding the mechanics of worm gears, which are used to achieve high torque and speed reduction ratios in compact spaces within various mechanical systems, such as lifting mechanisms, conveyors, and automotive steering systems.
The torque output of a worm gear, Twg(N.m) in Newton metres, is calculated by multiplying the load torque, L(N.m) in Newton metre applied to the worm gear, by the gear ratio, r, which is the ratio of the number of teeth on the gear to the number of threads on the worm.
Worm gear torque, Twg(N.m) = L(N.m) * r
Twg(N.m) = Worm gear torque in Newton metres, N.m.
L(N.m) = load torque in Newton metres, N.m.
r = gear ratio.
Worm Gear Torque Calulation:
- A worm gear in a lifting mechanism needs to lift a load that requires a torque of 150N.m. If the worm gear has a gear ratio of 10, calculate the output torque of the worm gear.
Given: L(N.m) = 150N.m, r = 10
Worm gear torque, Twg(N.m) = L(N.m) * r
Twg(N.m) = 150 * 10
Twg(N.m) = 1500N.m.
- An automotive steering system uses a worm gear to increase torque for easier steering. The produced worm gear torque is 400N.m and the gear ratio of the worm gear is 20, calculate the input load torque applied to the steering mechanism.
Given: Twg(N.m) = 400N.m, r = 20
Worm gear torque, Twg(N.m) = L(N.m) * r
L(N.m) = Twg(N.m) / r
L(N.m) = 400 / 20
L(N.m) = 40N.m.