A stepper motor has a step angle of 2.5°. Calculate the number of steps required for the shaft to make 25 revolutions.

Concept:

Step angle (β): It is the angle subtended by rotor position when one pulse is applied to the input of the stator. It is a measure of rotor position in degrees.

∴ β × (no. of revolutions) = Total revolution in degrees. 

Also in general,

\(β=\frac{N_s-N_r}{N_s× N_r}× 360^\circ \)

Where,

Ns = No. of stator teeth 

Nr = No. of rotor teeth

Calculation:

Given, β = 2.5° 

1 revolution = 360° 

25 revolution = 25 × 360° 

\(N=\frac{TR}{β}\)

Where,

N = Total no. of steps

TR = Total revolution in degrees

∴ \(\large{N=\frac{25\times 360}{2.5}=3600}\)

Additional Information

Stepper motors can be used to give controlled rotational steps but also can give continuous rotation with their rotational speed controlled by controlling the rate at which digital pulses are applied to it to cause stepping.

This gives a very useful controlled variable speed motor which finds many applications like in robotics, textile, etc.