Angular Velocity Calculator | Convert RPM, rad/s & deg/s

Worm gear design Tool Formula:

Pitch Diameter of Worm (D_w):

\[ D_{w} = \frac{m \times N_{w}}{\pi} \]

(where D_w = pitch diameter of worm, m = module, N_w = number of threads)

Pitch Diameter of Worm Gear (D_g):

\[ D_{g} = m \times N_{g} \]

Lead Angle (λ):

\[ \lambda = arctan(\frac{L}{\pi \times D_{w}}) \]

(where L = lead, calculated as m × N_w)

Axial Pitch (P_a):

\[ P_{a} = m \times \pi \]

Gear Ratio (GR):

\[ GR = \frac{N_{g}}{N_{w}} \]

The Worm Gear Design Calculator assists engineers, students, and educators in working out the worm and worm wheel pairs that allow them to reduce the speed smoothly and transmit the torque. Worm gears are highly used in conveyors, hoists, elevators, and gearboxes and have high reduction ratios with little space.

Worm threads (number of starts), worm wheel teeth, module, pitch diameter, or lead angle can all be typed in by the user. The calculator calculates gear ratio, number of teeth, module, pitch diameter, lead angle, and center distance. Formulas are demonstrated by step-by-step solutions of how to compute speed ratio, torque, module, and lead angle, and hence it is easy to work out the worm gear design to achieve optimal efficiency, smoothness, and mechanical advantage.

SI units are allowed: mm in diameter, module, and center distance. The tool fits well in mechanical engineers, design engineers, students, and educators dealing with compact gear systems, machines, and power transmission designs, to get the correct design of worm gears during the calculation of torque and speed needs.