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BALKE WORKBENCH / MAKER & MOTION

Stepper motor calculator.

Calculate stepper resolution, pulse frequency, shaft speed, and linear travel for screw and belt drives.

Local calculations · live results

Motor & motion

Movement is a nonnegative magnitude. Nearest whole pulses round half upward. Motion time excludes acceleration and deceleration.

COMMAND RESOLUTION

3,200 pulses/rev
MotorReduction1:1Lead screw300 RPM8 mm/rev

Output: 300 RPM · command: 16,000 Hz

Schematic · not to scale
Full-step angle
1.8 °
Command pulses / motor revolution
3,200
Motor angle / command pulse
0.1125 °
Motor speed
300 RPM
Required pulse frequency
16,000 Hz
Output speed
300 RPM
Output angle / pulse
0.1125 °
Travel / output revolution
8 mm
Pulses / mm
400
Distance / pulse
0.0025 mm
Linear speed
40 mm/s
Ideal pulse count
40,000
Nearest whole pulse count
40000
Resulting movement
100 mm
Rounding error (actual − requested)
0 mm
Rounded move time · constant speed
2.5 s

Calculation summary

Stepper Motor Calculator
Motion: screw; units: mm
Full steps: 200; microsteps: 16; motor rev/output rev: 1
Screw lead: 8 mm/rev
Requested movement: 100 mm
Full-step angle: 1.8 °
Command pulses / motor revolution: 3,200
Motor angle / command pulse: 0.1125 °
Motor speed: 300 RPM
Required pulse frequency: 16,000 Hz
Output speed: 300 RPM
Output angle / pulse: 0.1125 °
Travel / output revolution: 8 mm
Pulses / mm: 400
Distance / pulse: 0.0025 mm
Linear speed: 40 mm/s
Ideal pulse count: 40,000
Nearest whole pulse count: 40000
Resulting movement: 100 mm
Rounding error (actual − requested): 0 mm
Rounded move time · constant speed: 2.5 s
Nearest pulse uses half-up rounding. Time excludes acceleration/deceleration. Commanded resolution is not positioning accuracy; no torque, maximum-speed, or missed-step prediction.