# Transform pulses per second (pps) to rpm

I have a stepper motor that turns at 5000 PPS and has a step angle of 1.8º.

What would be the formula to transform these pps into rpm?

Using dimensional analysis, and cancelling out units (i.e., "dimensions") just like they are numbers, gives you a clear answer: $$\frac{1 \ step}{pulse} \ \times \frac{5000 \ pulse}{1\ sec} \times \frac{1.8 \ degrees}{1 \ step}\times \frac{1 \ revolution}{360 \ degrees}\times \frac{60\ sec}{1\ min} = \frac{1500\ revolution}{min}$$