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Rotor Frequency Given Supply Frequency Calculator

Rotor Frequency Formula:

\[ f_r = s \times f \]

(dimensionless)
Hz

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1. What is Rotor Frequency?

Rotor frequency is the number of cycles per second of the rotor in an induction motor. It represents the frequency of the induced currents in the rotor and is directly proportional to the slip and supply frequency.

2. How Does the Calculator Work?

The calculator uses the rotor frequency formula:

\[ f_r = s \times f \]

Where:

Explanation: The rotor frequency is calculated by multiplying the slip by the supply frequency. This formula shows the relationship between the relative speed difference (slip) and the actual frequency experienced by the rotor.

3. Importance of Rotor Frequency Calculation

Details: Calculating rotor frequency is essential for understanding motor performance, analyzing torque characteristics, and designing appropriate control systems for induction motors. It helps in determining the operating conditions and efficiency of the motor.

4. Using the Calculator

Tips: Enter the slip value (dimensionless, typically between 0 and 1) and the supply frequency in Hz. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is slip in an induction motor?
A: Slip is the relative speed difference between the rotating magnetic field and the rotor, expressed as a fraction or percentage of synchronous speed.

Q2: What are typical slip values for induction motors?
A: Typical slip values range from 0.01 to 0.05 (1-5%) for most industrial induction motors at full load.

Q3: How does rotor frequency affect motor performance?
A: Rotor frequency affects the torque production, efficiency, and heating of the motor. Higher rotor frequencies generally result in higher rotor losses.

Q4: Can rotor frequency be zero?
A: Rotor frequency is zero only when the slip is zero, which occurs at synchronous speed. However, induction motors cannot run at synchronous speed under load.

Q5: How is rotor frequency measured in practice?
A: Rotor frequency can be measured using frequency analyzers or calculated from slip measurements and known supply frequency.

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