Synchronous Speed of Synchronous Motor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Synchronous Speed = (120*Frequency)/Number of Poles
Ns = (120*f)/P
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 Poles is defined as the total number of poles present in any electrical machine.
STEP 1: Convert Input(s) to Base Unit
Frequency: 61 Hertz --> 61 Hertz No Conversion Required
Number of Poles: 3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ns = (120*f)/P --> (120*61)/3
Evaluating ... ...
Ns = 2440
STEP 3: Convert Result to Output's Unit
2440 Radian per Second -->23300.28366984 Revolution per Minute (Check conversion ​here)
FINAL ANSWER
23300.28366984 23300.28 Revolution per Minute <-- Synchronous Speed
(Calculation completed in 00.004 seconds)

Credits

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Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Speed Calculators

Synchronous Speed of Synchronous Motor
​ Go Synchronous Speed = (120*Frequency)/Number of Poles
Synchronous Speed of Synchronous Motor given Mechanical Power
​ Go Synchronous Speed = Mechanical Power/Gross Torque

Synchronous Motor Circuit Calculators

Load Current of Synchronous Motor given 3 Phase Mechanical Power
​ Go Load Current = (Three Phase Mechanical Power+3*Armature Current^2*Armature Resistance)/(sqrt(3)*Load Voltage*cos(Phase Difference))
Armature Current of Synchronous Motor given 3 Phase Mechanical Power
​ Go Armature Current = sqrt((Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Resistance))
Armature Current of Synchronous Motor given Mechanical Power
​ Go Armature Current = sqrt((Input Power-Mechanical Power)/Armature Resistance)
Armature Current of Synchronous Motor given Input Power
​ Go Armature Current = Input Power/(cos(Phase Difference)*Voltage)

Synchronous Speed of Synchronous Motor Formula

Synchronous Speed = (120*Frequency)/Number of Poles
Ns = (120*f)/P

Is synchronous motor a fixed speed motor?

This is where the term synchronous motor comes from, as the speed of the rotor of the motor is the same as the rotating magnetic field. It is a fixed speed motor because it has only one speed, which is synchronous speed.

How to Calculate Synchronous Speed of Synchronous Motor?

Synchronous Speed of Synchronous Motor calculator uses Synchronous Speed = (120*Frequency)/Number of Poles to calculate the Synchronous Speed, The Synchronous Speed of Synchronous Motor given ka formula is defined as a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit because the rotating member passes one pair of poles for each alternation of the alternating current. Synchronous Speed is denoted by Ns symbol.

How to calculate Synchronous Speed of Synchronous Motor using this online calculator? To use this online calculator for Synchronous Speed of Synchronous Motor, enter Frequency (f) & Number of Poles (P) and hit the calculate button. Here is how the Synchronous Speed of Synchronous Motor calculation can be explained with given input values -> 222501.3 = (120*61)/3.

FAQ

What is Synchronous Speed of Synchronous Motor?
The Synchronous Speed of Synchronous Motor given ka formula is defined as a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit because the rotating member passes one pair of poles for each alternation of the alternating current and is represented as Ns = (120*f)/P 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 Poles is defined as the total number of poles present in any electrical machine.
How to calculate Synchronous Speed of Synchronous Motor?
The Synchronous Speed of Synchronous Motor given ka formula is defined as a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit because the rotating member passes one pair of poles for each alternation of the alternating current is calculated using Synchronous Speed = (120*Frequency)/Number of Poles. To calculate Synchronous Speed of Synchronous Motor, you need Frequency (f) & Number of Poles (P). 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 2 other way(s) to calculate the same, which is/are as follows -
  • Synchronous Speed = Mechanical Power/Gross Torque
  • Synchronous Speed = Mechanical Power/Gross Torque
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