Torque of Induction Motor under Running Condition Calculator

✖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%
✖EMF is defined as the electro motive force which is needed to move the electrons within an electrical conductor to generate flow of current through the conductor.ⓘ EMF [E]			+10% -10%
✖Resistance is a measure of the opposition to current flow in an electrical circuit.ⓘ Resistance [R]			+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%
✖Reactance is defined as the opposition to the flow of current from a circuit element due to its inductance and capacitance.ⓘ Reactance [X]			+10% -10%

✖Torque is defined as a measure of the force that causes the rotor of an electrical machine to rotate about an axis.ⓘ Torque of Induction Motor under Running Condition [τ]

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Torque of Induction Motor under Running Condition Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque = (3*Slip*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+(Reactance^2*Slip)))
τ = (3*s*E^2*R)/(2*pi*N_s*(R^2+(X^2*s)))
This formula uses 1 Constants, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Torque - (Measured in Newton Meter) - Torque is defined as a measure of the force that causes the rotor of an electrical machine to rotate about an axis.
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.
EMF - (Measured in Volt) - EMF is defined as the electro motive force which is needed to move the electrons within an electrical conductor to generate flow of current through the conductor.
Resistance - (Measured in Ohm) - Resistance is a measure of the opposition to current flow in an electrical circuit.
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.
Reactance - (Measured in Ohm) - Reactance is defined as the opposition to the flow of current from a circuit element due to its inductance and capacitance.

STEP 1: Convert Input(s) to Base Unit

Slip: 0.19 --> No Conversion Required
EMF: 305.8 Volt --> 305.8 Volt No Conversion Required
Resistance: 14.25 Ohm --> 14.25 Ohm No Conversion Required
Synchronous Speed: 15660 Revolution per Minute --> 1639.91136509036 Radian per Second (Check conversion here)
Reactance: 75 Ohm --> 75 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = (3*s*E^2*R)/(2*pi*N_s*(R^2+(X^2*s))) --> (3*0.19*305.8^2*14.25)/(2*pi*1639.91136509036*(14.25^2+(75^2*0.19)))

Evaluating ... ...

τ = 0.0579617312687895

STEP 3: Convert Result to Output's Unit

0.0579617312687895 Newton Meter --> No Conversion Required

FINAL ANSWER

0.0579617312687895 ≈ 0.057962 Newton Meter <-- Torque

(Calculation completed in 00.020 seconds)

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Home » Engineering » Electrical » Machine » AC Machines » Induction Motor » Torque and Efficiency » Torque of Induction Motor under Running Condition

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< Torque and Efficiency Calculators

Induced Torque given Magnetic Field Density

LaTeX Go Torque = (Machine Construction Constant/Magnetic Permeability)*Rotor Magnetic Flux Density*Stator Magnetic Flux Density

Maximum Running Torque

LaTeX Go Running Torque = (3*EMF^2)/(4*pi*Synchronous Speed*Reactance)

Rotor Efficiency in Induction Motor

LaTeX Go Efficiency = (Motor Speed)/(Synchronous Speed)

Gross Torque Developed per Phase

LaTeX Go Gross Torque = Mechanical Power/Motor Speed

< 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

Torque of Induction Motor under Running Condition Formula

LaTeX Go

Torque = (3*Slip*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+(Reactance^2*Slip)))
τ = (3*s*E^2*R)/(2*pi*N_s*(R^2+(X^2*s)))

what is slip and synchronous speed?

Slip is the difference between synchronous speed and the actual speed of the induction motor as a percentage of synchronous speed.
Synchronous Speed is the speed of the stator magnetic field in the three-phase induction motor.

How to Calculate Torque of Induction Motor under Running Condition?

Torque of Induction Motor under Running Condition calculator uses Torque = (3*Slip*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+(Reactance^2*Slip))) to calculate the Torque, Torque of Induction Motor under Running Condition is the measurement that determines the amount of torque a rotating part requires to remain rotating at a constant angular velocity once it begins spinning. Torque is denoted by τ symbol.

How to calculate Torque of Induction Motor under Running Condition using this online calculator? To use this online calculator for Torque of Induction Motor under Running Condition, enter Slip (s), EMF (E), Resistance (R), Synchronous Speed (N_s) & Reactance (X) and hit the calculate button. Here is how the Torque of Induction Motor under Running Condition calculation can be explained with given input values -> 0.057962 = (3*0.19*305.8^2*14.25)/(2*pi*1639.91136509036*(14.25^2+(75^2*0.19))).

FAQ

What is Torque of Induction Motor under Running Condition?

Torque of Induction Motor under Running Condition is the measurement that determines the amount of torque a rotating part requires to remain rotating at a constant angular velocity once it begins spinning and is represented as τ = (3*s*E^2*R)/(2*pi*N_s*(R^2+(X^2*s))) or Torque = (3*Slip*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+(Reactance^2*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, EMF is defined as the electro motive force which is needed to move the electrons within an electrical conductor to generate flow of current through the conductor, Resistance is a measure of the opposition to current flow in an electrical circuit, Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit & Reactance is defined as the opposition to the flow of current from a circuit element due to its inductance and capacitance.

How to calculate Torque of Induction Motor under Running Condition?

Torque of Induction Motor under Running Condition is the measurement that determines the amount of torque a rotating part requires to remain rotating at a constant angular velocity once it begins spinning is calculated using Torque = (3*Slip*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+(Reactance^2*Slip))). To calculate Torque of Induction Motor under Running Condition, you need Slip (s), EMF (E), Resistance (R), Synchronous Speed (N_s) & Reactance (X). With our tool, you need to enter the respective value for Slip, EMF, Resistance, Synchronous Speed & Reactance 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 Torque?

In this formula, Torque uses Slip, EMF, Resistance, Synchronous Speed & Reactance. We can use 3 other way(s) to calculate the same, which is/are as follows -

Torque = (Machine Construction Constant/Magnetic Permeability)*Rotor Magnetic Flux Density*Stator Magnetic Flux Density
Torque = (3*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+Reactance^2))
Torque = (3*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+Reactance^2))

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