Correct Answer - Option 2 : 1440 rpm
Concept:
In a 3-phase induction motor, the synchronous speed can be calculated as
\({N_s} = \;\frac{{120f}}{P}\)
\(s = \;\frac{{{N_s} - {N_r}}}{{{N_s}}}\)
Where, Ns = Synchronous speed in rpm,
Nr = Rotor speed in rpm,
s = Slip of the machine,
f = Supply frequency in Hz,
P = Number of poles.
Slip speed: The difference between the synchronous speed and the actual speed of the rotor is known as the slip speed.
Slip speed sNs = Ns - Nr
Rotor speed ⇒ Nr = (1-s)Ns
Calculation:
Given,
P = 4
f = 50 Hz
Full load slip = s = 4% = 0.04
\(N_s = \dfrac{120f}{P}=\dfrac{120× 50}{4} = 1500\;rpm\)
Full load rotor speed ⇒ Nr = (1-s)Ns = (1-0.04) × 1500 = 1440 rpm