Motor Speed given Efficiency in Induction Motor Calculator

✖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 [N_s]			+10% -10%

✖Motor Speed is the speed of the rotor(motor).ⓘ Motor Speed given Efficiency in Induction Motor [N_m]

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Formula

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Motor Speed given Efficiency in Induction Motor

Formula

N m = η \cdot N s

Example

14094 rev/min = 0.90 \cdot 15660 rev/min

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Motor Speed given Efficiency in Induction Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Motor Speed = Efficiency*Synchronous Speed
N_m = η*N_s
This formula uses 3 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Efficiency: 0.9 --> No Conversion Required
Synchronous Speed: 15660 Revolution per Minute --> 1639.91136509036 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_m = η*N_s --> 0.9*1639.91136509036

Evaluating ... ...

N_m = 1475.92022858132

STEP 3: Convert Result to Output's Unit

1475.92022858132 Radian per Second -->14094 Revolution per Minute (Check conversion here)

FINAL ANSWER

14094 Revolution per Minute <-- Motor 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

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

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)

< Induction Motor Circuit Calculators

Rotor Current in Induction Motor

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

Go Armature Current = Output Power/Armature Voltage

Field Current using Load Current in Induction Motor

Go Field Current = Armature Current-Load Current

Load Current in Induction Motor

Go Load Current = Armature Current-Field Current

Motor Speed given Efficiency in Induction Motor Formula

Motor Speed = Efficiency*Synchronous Speed
N_m = η*N_s

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 Motor Speed given Efficiency in Induction Motor?

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

How to calculate Motor Speed given Efficiency in Induction Motor using this online calculator? To use this online calculator for Motor Speed given Efficiency in Induction Motor, enter Efficiency (η) & Synchronous Speed (N_s) and hit the calculate button. Here is how the Motor Speed given Efficiency in Induction Motor calculation can be explained with given input values -> 134587.8 = 0.9*1639.91136509036.

FAQ

What is Motor Speed given Efficiency in Induction Motor?

Motor Speed given Efficiency in Induction Motor is the speed at which the rotor rotates and Synchronous Speed is the speed of the stator magnetic field in the three-phase induction motor and is represented as N_m = η*N_s or Motor Speed = Efficiency*Synchronous Speed. The efficiency of a system in electronics and electrical engineering is defined as useful power output divided by the total electrical power consumed & Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit.

How to calculate Motor Speed given Efficiency in Induction Motor?

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

In this formula, Motor Speed uses Efficiency & Synchronous Speed. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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