Synchronous Speed of Induction Motor given Efficiency Calculator

✖Motor Speed is the speed of the rotor(motor).ⓘ Motor Speed [N_m]			+10% -10%
✖The efficiency of a system in electronics and electrical engineering is defined as useful power output divided by the total electrical power consumed.ⓘ Efficiency [η]			+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 of Induction Motor given Efficiency [N_s]

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Synchronous Speed of Induction Motor given Efficiency Solution

STEP 0: Pre-Calculation Summary

Formula Used

Synchronous Speed = (Motor Speed)/(Efficiency)
N_s = (N_m)/(η)
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).
Efficiency - The efficiency of a system in electronics and electrical engineering is defined as useful power output divided by the total electrical power consumed.

STEP 1: Convert Input(s) to Base Unit

Motor Speed: 14350 Revolution per Minute --> 1502.72848589059 Radian per Second (Check conversion here)
Efficiency: 0.9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_s = (N_m)/(η) --> (1502.72848589059)/(0.9)

Evaluating ... ...

N_s = 1669.69831765621

STEP 3: Convert Result to Output's Unit

1669.69831765621 Radian per Second -->15944.4444444444 Revolution per Minute (Check conversion here)

FINAL ANSWER

15944.4444444444 ≈ 15944.44 Revolution per Minute <-- Synchronous Speed

(Calculation completed in 00.004 seconds)

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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)

< Induction Motor Circuit Calculators

Rotor Current in Induction Motor

LaTeX 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

LaTeX Go Armature Current = Output Power/Armature Voltage

Field Current using Load Current in Induction Motor

LaTeX Go Field Current = Armature Current-Load Current

Load Current in Induction Motor

LaTeX Go Load Current = Armature Current-Field Current

Synchronous Speed of Induction Motor given Efficiency Formula

LaTeX Go

Synchronous Speed = (Motor Speed)/(Efficiency)
N_s = (N_m)/(η)

What is the efficiency of a machine?

The efficiency of any machine measures the degree to which friction and other factors reduce the actual work output of the machine from its theoretical maximum. A frictionless machine would have an efficiency of 100%. A machine with an efficiency of 20% has an output of only one-fifth of its theoretical output.

How to Calculate Synchronous Speed of Induction Motor given Efficiency?

Synchronous Speed of Induction Motor given Efficiency calculator uses Synchronous Speed = (Motor Speed)/(Efficiency) to calculate the Synchronous Speed, Synchronous Speed of Induction Motor given Efficiency is the speed of the stator magnetic field in the three-phase induction motor and Motor Speed is the speed at which the rotor rotates. Synchronous Speed is denoted by N_s symbol.

How to calculate Synchronous Speed of Induction Motor given Efficiency using this online calculator? To use this online calculator for Synchronous Speed of Induction Motor given Efficiency, enter Motor Speed (N_m) & Efficiency (η) and hit the calculate button. Here is how the Synchronous Speed of Induction Motor given Efficiency calculation can be explained with given input values -> 152258.2 = (1502.72848589059)/(0.9).

FAQ

What is Synchronous Speed of Induction Motor given Efficiency?

Synchronous Speed of Induction Motor given Efficiency is the speed of the stator magnetic field in the three-phase induction motor and Motor Speed is the speed at which the rotor rotates and is represented as N_s = (N_m)/(η) or Synchronous Speed = (Motor Speed)/(Efficiency). Motor Speed is the speed of the rotor(motor) & The efficiency of a system in electronics and electrical engineering is defined as useful power output divided by the total electrical power consumed.

How to calculate Synchronous Speed of Induction Motor given Efficiency?

Synchronous Speed of Induction Motor given Efficiency is the speed of the stator magnetic field in the three-phase induction motor and Motor Speed is the speed at which the rotor rotates is calculated using Synchronous Speed = (Motor Speed)/(Efficiency). To calculate Synchronous Speed of Induction Motor given Efficiency, you need Motor Speed (N_m) & Efficiency (η). With our tool, you need to enter the respective value for Motor Speed & Efficiency 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 & Efficiency. 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 = (120*Frequency)/(Number of Poles)

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