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

Formula

`"N"_{"s"} = ("N"_{"m"})/("η")`

Example

`"15944.44rev/min"=("14350rev/min")/("0.90")`

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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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< 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 of Induction Motor given Efficiency Formula

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

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