Stepper Motor Calculator

Steps per millimetre for a leadscrew or belt drive, and the travel speed a given RPM gives you. The number you need to calibrate a 3D printer or a linear axis.

Step angle (degrees)

Microstepping

Drive type

Screw pitch / belt pitch (mm)

Pulley teeth (belt only)

Motor speed (RPM, optional)

Steps per mm --

Shop steppers and drivers

The formula

steps per rev = 360 / step angle x microstepping

Leadscrew:  steps/mm = steps per rev / screw pitch
Belt:       steps/mm = steps per rev / (pulley teeth x belt pitch)

speed mm/s = RPM / 60 x distance per rev

How it works

A 1.8 degree motor is 200 full steps per revolution; 0.9 degree is 400. Microstepping multiplies that, so 200 steps at 1/16 is 3200 steps per revolution.

Microstepping buys smoothness and resolution, not accuracy. The motor still only has 200 real detents, and holding torque falls off between them — a 1/32 step is not a position you can rely on under load.

Common setups: an 8 mm pitch leadscrew gives 400 steps/mm at 1/16; a GT2 belt on a 20 tooth pulley gives 80 steps/mm at 1/16, which is the familiar number on most printers.

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