Rotor Speed Formula:
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The rotor speed (Nr) of an induction motor is the actual speed at which the motor's rotor rotates. It's always slightly less than the synchronous speed (Ns) due to slip, which is necessary for torque production in induction motors.
The calculator uses the rotor speed formula:
Where:
Explanation: The difference between synchronous speed and rotor speed (slip) is what induces current in the rotor and produces torque in an induction motor.
Details: Knowing the rotor speed is essential for motor selection, performance analysis, and system design. It affects the motor's torque characteristics and efficiency.
Tips: Enter synchronous speed in RPM and slip (typically 0.01-0.05 for normal operation). Slip must be between 0 and 1.
Q1: What is synchronous speed?
A: Synchronous speed is the speed of the motor's rotating magnetic field, calculated as \( N_s = \frac{120 \times f}{P} \), where f is frequency and P is number of poles.
Q2: What is typical slip for induction motors?
A: Typically 1-5% (0.01-0.05) at full load. Higher for smaller motors, lower for larger motors.
Q3: Can rotor speed equal synchronous speed?
A: No, at synchronous speed (s=0) there would be no induced current in the rotor and thus no torque.
Q4: How does load affect rotor speed?
A: As load increases, slip increases and rotor speed decreases slightly.
Q5: What's the difference between Nr and Ns?
A: Ns is theoretical (magnetic field speed), Nr is actual (rotor speed). The difference is slip.