Firstly I am really sorry for this so late reply, I totally forgot, I am really sorry
OK here you go, made the diagram for you
Firstly understand that frequency is not generated by no. of revolutions but how many times the cycles of emf are produced per second.
Now in the above figure a motor is shown having "
P" no. of poles on a rotor revolving at a speed of "
Ns" r.p.m.
When a conductor passes through a pair of poles, one cycle of emf is induced.
Now the frequency of the motor should be the no. of these emf cycles produced per second.
Now we know that one cycle of emf is produced when the conductor passes through a pair of poles. Therefore we know,
No. of e.m.f. cycles made per revolution = P/2
Now we know that the speed of the motor was "
Ns" r.p.m.
, therefore we know,
No. of revolutions per second = Ns / 60
Now we know that no. of revolutions made per second, and also we know that those revolutions per second will have certain no. of emf cycles produced. Therefore we will find the no. of emf cycles in the no. of revolutions per second.
Therefore, we know,
No. of e.m.f. cycles per second = No. of cycles / Revolution X No. of revolutions per second
Now we know that no. of emf cycles per second forms the frequency of the motor, therefore the last equation can also be written as
Frequency, f = P / 2 X Ns / 60
simplifying the above equation we get
Frequency, f = P Ns / 120 cycles/second or Hz
This is how the frequency of a motor is formed.
I tried to eloborate it a lot, I hope its clear now. 😀
Good Day