Configuring stepper motor drivers in 3D printers, CNC milling machines, and robotic motion systems requires matching microcontroller step pulse frequencies to target motor RPM and lead screw pitch. This calculator computes required steps per revolution, step clock frequency in Hertz, and resulting linear feed rates across standard full-step and microstepping configurations.

### Motion Control Math & Formulas The calculator evaluates mechanical motion and microcontroller timing: - **Base Steps per Revolution**: `Base Steps = 360 / Step Angle`. A standard 1.8° motor (such as NEMA 17 or NEMA 23) has 200 base steps; a high-precision 0.9° motor has 400 base steps. - **Total Microsteps per Revolution**: `Total Steps = Base Steps × Microstep Factor`. For a 1.8° motor using 1/16 microstepping: `200 × 16 = 3,200 steps/rev`. - **Pulse Clock Frequency ($Hz$)**: `Pulse Frequency = (Total Steps × Target RPM) / 60`. This defines the required step pulse clock speed generated by the motion controller. - **Linear Carriage Speed ($mm/s$)**: `Linear Speed = (Target RPM × Pitch) / 60`. - **Resolution ($Steps/mm$)**: `Steps per mm = Total Steps / Pitch`.

### Worked Motion Control Example Configure a standard NEMA 17 motor (**1.8° step angle**, 200 base steps) with a **TMC2209 driver at 1/16 microstepping**, running at **300 RPM** with an **8 mm pitch lead screw**: - **Total Steps per Revolution**: `200 × 16 = 3,200 steps/rev` - **Pulse Clock Frequency**: `(3,200 × 300) / 60 = 960,000 / 60 = 16,000 Hz (16.0 kHz)` - **Linear Feed Rate**: `(300 × 8) / 60 = 2,400 / 60 = 40.0 mm/s` (2,400 mm/min) - **Steps per Millimeter**: `3,200 / 8 = 400.0 steps/mm`

### In-Browser Execution All step pulse, microstep multiplication, and feed rate calculations execute locally in your web browser. No firmware configurations or hardware parameters leave your computer.