Answer:
The synchronous speed of the motor can be calculated using the formula:
Synchronous speed = (120 x Frequency) / Number of poles
Here, Frequency is given as 50 Hz and Number of poles is given as 8.
So, Synchronous speed = (120 x 50) / 8 = 750 rpm
The rotor speed at full load with a slip of 5% can be calculated as:
Rotor speed = (1 - Slip) x Synchronous speed
Slip is given as 5% or 0.05.
So, Rotor speed = (1 - 0.05) x 750 = 712.5 rpm
If the frequency increases to 53 Hz, the synchronous speed can be calculated as:
Synchronous speed = (120 x 53) / 8 = 795 rpm
Using the same slip value of 5%, the new rotor speed can be calculated as:
Rotor speed = (1 - 0.05) x 795 = 755.25 rpm