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"} = (120*"f")/("n")`

Example

`"15641.75rev/min"=(120*"54.6Hz")/("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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< 8 Speed Calculators

Synchronous Speed given Mechanical Power

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

Linear Synchronous Speed

Go Linear Synchronous Speed = 2*Pole Pitch Width*Line Frequency

Synchronous Speed in Induction Motor

Go Synchronous Speed = (120*Frequency)/(Number of Poles)

Synchronous Speed of Induction Motor given Efficiency

Go Synchronous Speed = (Motor Speed)/(Efficiency)

Motor Speed given Efficiency in Induction Motor

Go Motor Speed = Efficiency*Synchronous Speed

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)

< 25 Induction Motor Circuit Calculators

Torque of Induction Motor under Running Condition

Go Torque = (3*Slip*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+(Reactance^2*Slip)))

Rotor Current in Induction Motor

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

Starting Torque of Induction Motor

Go Torque = (3*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+Reactance^2))

Maximum Running Torque

Go Running Torque = (3*EMF^2)/(4*pi*Synchronous Speed*Reactance)

Linear Synchronous Speed

Go Linear Synchronous Speed = 2*Pole Pitch Width*Line Frequency

Stator Copper Loss in Induction Motor

Go Stator Copper Loss = 3*Stator Current^2*Stator Resistance

Rotor Copper Loss in Induction Motor

Go Rotor Copper Loss = 3*Rotor Current^2*Rotor Resistance

Synchronous Speed in Induction Motor

Go Synchronous Speed = (120*Frequency)/(Number of Poles)

Frequency given Number of Poles in Induction Motor

Go Frequency = (Number of Poles*Synchronous Speed)/120

Armature Current given Power in Induction Motor

Go Armature Current = Output Power/Armature Voltage

Synchronous Speed of Induction Motor given Efficiency

Go Synchronous Speed = (Motor Speed)/(Efficiency)

Rotor Efficiency in Induction Motor

Go Efficiency = (Motor Speed)/(Synchronous Speed)

Field Current using Load Current in Induction Motor

Go Field Current = Armature Current-Load Current

Rotor Input Power in Induction Motor

Go Rotor Input Power = Input Power-Stator Losses

Load Current in Induction Motor

Go Load Current = Armature Current-Field Current

Force by Linear Induction Motor

Go Force = Input Power/Linear Synchronous Speed

Motor Speed given Efficiency in Induction Motor

Go Motor Speed = Efficiency*Synchronous Speed

Rotor Copper Loss given Input Rotor Power

Go Rotor Copper Loss = Slip*Rotor Input Power

Pitch Factor in Induction Motor

Go Pitch Factor = cos(Short Pitched Angle/2)

Gross Mechanical Power in Induction Motor

Go Mechanical Power = (1-Slip)*Input Power

Rotor Frequency given Supply Frequency

Go Rotor Frequency = Slip*Frequency

Resistance given Slip at Maximum Torque

Go Resistance = Slip*Reactance

Reactance given Slip at Maximum Torque

Go Reactance = Resistance/Slip

Breakdown Slip of Induction Motor

Go Slip = Resistance/Reactance

Slip given Efficiency in Induction Motor

Go Slip = 1-Efficiency

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 4 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)
Synchronous Speed = (Motor Speed)/(Efficiency)

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