Synchronous Speed in Induction Motor Calculator

✖Frequency is the rate at which current changes direction per second. It is measured in hertz (Hz).ⓘ Frequency [f]			+10% -10%
✖Number of Polesis defined as the number of poles in an electrical machine for the flux generation.ⓘ Number of Poles [n]			+10% -10%

✖Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit.ⓘ Synchronous Speed in Induction Motor [N_s]

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Formula

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Synchronous Speed in Induction Motor

Formula

N s = \frac{120 \cdot f}{n}

Example

15641.75 rev/min = \frac{120 \cdot 54.6 Hz}{4}

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Synchronous Speed in Induction Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Synchronous Speed = (120*Frequency)/(Number of Poles)
N_s = (120*f)/(n)
This formula uses 3 Variables

Variables Used

Synchronous Speed - (Measured in Radian per Second) - Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit.
Frequency - (Measured in Hertz) - Frequency is the rate at which current changes direction per second. It is measured in hertz (Hz).
Number of Poles - Number of Polesis defined as the number of poles in an electrical machine for the flux generation.

STEP 1: Convert Input(s) to Base Unit

Frequency: 54.6 Hertz --> 54.6 Hertz No Conversion Required
Number of Poles: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_s = (120*f)/(n) --> (120*54.6)/(4)

Evaluating ... ...

N_s = 1638

STEP 3: Convert Result to Output's Unit

1638 Radian per Second -->15641.747807868 Revolution per Minute (Check conversion here)

FINAL ANSWER

15641.747807868 ≈ 15641.75 Revolution per Minute <-- Synchronous Speed

(Calculation completed in 00.004 seconds)

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< Speed Calculators

Synchronous Speed given Mechanical Power

Go Synchronous Speed = (60*Mechanical Power)/(2*pi*Gross Torque)

Motor Speed given Synchronous Speed

Go Motor Speed = Synchronous Speed*(1-Slip)

Synchronous Speed given Motor Speed

Go Synchronous Speed = Motor Speed/(1-Slip)

Motor Speed in Induction Motor

Go Motor Speed = Synchronous Speed*(1-Slip)

< Induction Motor Circuit Calculators

Rotor Current in Induction Motor

Go Rotor Current = (Slip*Induced EMF)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2)

Armature Current given Power in Induction Motor

Go Armature Current = Output Power/Armature Voltage

Field Current using Load Current in Induction Motor

Go Field Current = Armature Current-Load Current

Load Current in Induction Motor

Go Load Current = Armature Current-Field Current

Synchronous Speed in Induction Motor Formula

Synchronous Speed = (120*Frequency)/(Number of Poles)
N_s = (120*f)/(n)

What is Synchronous speed?

A synchronous electric motor is an AC electric motor in which, at steady state, the rotation of the shaft is synchronized with the frequency of the supply current; the rotation period is exactly equal to an integral number of AC cycles. The synchronous speed is the speed of the revolution of the magnetic field in the stator winding of the motor. It is the speed at which the electromotive force is produced by the alternating machine.

How to Calculate Synchronous Speed in Induction Motor?

Synchronous Speed in Induction Motor calculator uses Synchronous Speed = (120*Frequency)/(Number of Poles) to calculate the Synchronous Speed, Synchronous Speed in Induction Motor is the speed of the stator magnetic field in the three-phase induction motor. Synchronous Speed is denoted by N_s symbol.

How to calculate Synchronous Speed in Induction Motor using this online calculator? To use this online calculator for Synchronous Speed in Induction Motor, enter Frequency (f) & Number of Poles (n) and hit the calculate button. Here is how the Synchronous Speed in Induction Motor calculation can be explained with given input values -> 149367.7 = (120*54.6)/(4).

FAQ

What is Synchronous Speed in Induction Motor?

Synchronous Speed in Induction Motor is the speed of the stator magnetic field in the three-phase induction motor and is represented as N_s = (120*f)/(n) or Synchronous Speed = (120*Frequency)/(Number of Poles). Frequency is the rate at which current changes direction per second. It is measured in hertz (Hz) & Number of Polesis defined as the number of poles in an electrical machine for the flux generation.

How to calculate Synchronous Speed in Induction Motor?

Synchronous Speed in Induction Motor is the speed of the stator magnetic field in the three-phase induction motor is calculated using Synchronous Speed = (120*Frequency)/(Number of Poles). To calculate Synchronous Speed in Induction Motor, you need Frequency (f) & Number of Poles (n). With our tool, you need to enter the respective value for Frequency & Number of Poles and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Synchronous Speed?

In this formula, Synchronous Speed uses Frequency & Number of Poles. We can use 3 other way(s) to calculate the same, which is/are as follows -

Synchronous Speed = (60*Mechanical Power)/(2*pi*Gross Torque)
Synchronous Speed = Motor Speed/(1-Slip)
Synchronous Speed = (Motor Speed)/(Efficiency)

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