# Conversation KPPS into RPM

on the torque vs speed curves, the X axis is marked with kpps (kilo pulse per second) or pps (pulse per second).
The following example explains the conversion into revolution per second and revolution per minute (RPM).

red = Speed at 1 kpps

blue = Torque Full Step (1.8°)

green = Torque Half Step (0.9°)

Y-Axis = Torque (Nm)

X-Axis = Speed (kpps)

1 kpps = 1000 pps (pulse pro sekunde)

Number of Steps per Revolution:
(2-Phase Step Motor with Step Angle = 1.8°)
Full Step 1.8° → 360° / 1.8° = 200 Steps per Revolution
Half Step 0.9° → 360 / 0.9°   = 400 Steps per Revolution

Speed at 1 kpps (1000 pps):
Full Step 1.8° → 1000 pps / 200 Steps = 5 Rev. per Second x 60 = 300 RPM
Half Step 0.9° → 1000 pps / 400 Steps = 2.5 Rev. per Second x 60 = 150 RPM

Determination of the Torque:
the torque vs speed curves shows that the Step Motor reach ...
3 Nm Torque at 1 kpps = 300 RPM in Full Step Mode (blue Line) and
3,3 Nm Torque at 1 kpps = 150 RPM in Half Step Mode (green Line)