Synchronous Speed given Motor Speed Calculator

✖Motor Speed is the speed of the rotor(motor).ⓘ Motor Speed [N_m]			+10% -10%
✖Slip in Induction Motor is the relative speed between the rotating magnetic flux and rotor expressed in terms of per unit synchronous speed. It is a dimensionless quantity.ⓘ Slip [s]			+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 given Motor Speed [N_s]

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Synchronous Speed given Motor Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Synchronous Speed = Motor Speed/(1-Slip)
N_s = N_m/(1-s)
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.
Motor Speed - (Measured in Radian per Second) - Motor Speed is the speed of the rotor(motor).
Slip - Slip in Induction Motor is the relative speed between the rotating magnetic flux and rotor expressed in terms of per unit synchronous speed. It is a dimensionless quantity.

STEP 1: Convert Input(s) to Base Unit

Motor Speed: 14350 Revolution per Minute --> 1502.72848589059 Radian per Second (Check conversion here)
Slip: 0.19 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_s = N_m/(1-s) --> 1502.72848589059/(1-0.19)

Evaluating ... ...

N_s = 1855.22035295135

STEP 3: Convert Result to Output's Unit

1855.22035295135 Radian per Second -->17716.049382716 Revolution per Minute (Check conversion here)

FINAL ANSWER

17716.049382716 ≈ 17716.05 Revolution per Minute <-- Synchronous Speed

(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< Speed Calculators

Synchronous Speed given Mechanical Power

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

Motor Speed given Synchronous Speed

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

Synchronous Speed given Motor Speed

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

Motor Speed in Induction Motor

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

Synchronous Speed given Motor Speed Formula

LaTeX Go

Synchronous Speed = Motor Speed/(1-Slip)
N_s = N_m/(1-s)

What is slip?

Slip when efficiency is given is defined as the difference between Synchronous Speed (Speed of rotation of magnetic field) and Rotor Speed.

How to Calculate Synchronous Speed given Motor Speed?

Synchronous Speed given Motor Speed calculator uses Synchronous Speed = Motor Speed/(1-Slip) to calculate the Synchronous Speed, Synchronous Speed given Motor 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. Synchronous Speed is denoted by N_s symbol.

How to calculate Synchronous Speed given Motor Speed using this online calculator? To use this online calculator for Synchronous Speed given Motor Speed, enter Motor Speed (N_m) & Slip (s) and hit the calculate button. Here is how the Synchronous Speed given Motor Speed calculation can be explained with given input values -> 169175.8 = 1502.72848589059/(1-0.19).

FAQ

What is Synchronous Speed given Motor Speed?

Synchronous Speed given Motor 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 and is represented as N_s = N_m/(1-s) or Synchronous Speed = Motor Speed/(1-Slip). Motor Speed is the speed of the rotor(motor) & Slip in Induction Motor is the relative speed between the rotating magnetic flux and rotor expressed in terms of per unit synchronous speed. It is a dimensionless quantity.

How to calculate Synchronous Speed given Motor Speed?

Synchronous Speed given Motor 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 is calculated using Synchronous Speed = Motor Speed/(1-Slip). To calculate Synchronous Speed given Motor Speed, you need Motor Speed (N_m) & Slip (s). With our tool, you need to enter the respective value for Motor Speed & Slip 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 Motor Speed & Slip. 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 = (120*Frequency)/(Number of Poles)
Synchronous Speed = (Motor Speed)/(Efficiency)

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