Calculate the reference diameter, pinion RPM, and linear speed based on the number of teeth, module, helical gear angle, motor speed, and reducer ratio.

Follow these steps:

Enter the number of teeth on the gear.

Select the module of the gear.

Select if the gear is helical and choose the helix angle if applicable.

Enter the motor speed in RPM.

Enter the reducer ratio.

Click "Calculate" to get the results.

Important Note: These calculations primarily address ideal mechanical motion transfer. In practical applications, several additional factors should be considered:

Servo motor and reducer inertia

Acceleration and deceleration profiles

Thermal considerations and heat dissipation

Torque limitations and load dynamics

System efficiency and power losses

For comprehensive system design and performance optimization, it is strongly recommended to consult with your equipment vendor or utilize specialized motion control software for detailed analysis and validation.

You may encounter pinion helix angle ß (beta) in catalogs:

To convert the angle (19°31′42′′) from degrees, minutes, and seconds to just degrees:

Start with the degrees: 19°
Convert the minutes to degrees by dividing by 60: 31/60≈0.5167°
Convert the seconds to degrees by dividing by 3600: 42/3600≈0.0117°

Add them all together:
19+0.5167+0.0117≈19.5284≈19.5284°
So, 19°31′42′′ is approximately 19.5284°