Starting Torque of Induction Motor Calculator

✖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.ⓘ Starting Torque of Induction Motor [τ]

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Starting Torque of Induction Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque = (3*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+Reactance^2))
τ = (3*E^2*R)/(2*pi*N_s*(R^2+X^2))
This formula uses 1 Constants, 5 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.
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

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

Evaluating ... ...

τ = 0.0665712385000092

STEP 3: Convert Result to Output's Unit

0.0665712385000092 Newton Meter --> No Conversion Required

FINAL ANSWER

0.0665712385000092 ≈ 0.066571 Newton Meter <-- Torque

(Calculation completed in 00.004 seconds)

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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

Starting Torque of Induction Motor Formula

LaTeX Go

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

What is Starting Torque?

Starting torque is the torque produced by the induction motor when it starts. We know that at the start of the rotor speed, N is zero. So, the equation of starting torque is easily obtained by simply putting the value of s = 1 in the equation of torque of the three-phase induction motor, The starting torque is also known as standstill torque.

How to Calculate Starting Torque of Induction Motor?

Starting Torque of Induction Motor calculator uses Torque = (3*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+Reactance^2)) to calculate the Torque, Starting Torque of Induction Motor is the torque developed at the instant of starting of a motor is called as starting torque. Torque is denoted by τ symbol.

How to calculate Starting Torque of Induction Motor using this online calculator? To use this online calculator for Starting Torque of Induction Motor, enter EMF (E), Resistance (R), Synchronous Speed (N_s) & Reactance (X) and hit the calculate button. Here is how the Starting Torque of Induction Motor calculation can be explained with given input values -> 0.066571 = (3*305.8^2*14.25)/(2*pi*1639.91136509036*(14.25^2+75^2)).

FAQ

What is Starting Torque of Induction Motor?

Starting Torque of Induction Motor is the torque developed at the instant of starting of a motor is called as starting torque and is represented as τ = (3*E^2*R)/(2*pi*N_s*(R^2+X^2)) or Torque = (3*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+Reactance^2)). 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 Starting Torque of Induction Motor?

Starting Torque of Induction Motor is the torque developed at the instant of starting of a motor is called as starting torque is calculated using Torque = (3*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+Reactance^2)). To calculate Starting Torque of Induction Motor, you need EMF (E), Resistance (R), Synchronous Speed (N_s) & Reactance (X). With our tool, you need to enter the respective value for 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 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*Slip*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+(Reactance^2*Slip)))
Torque = (3*Slip*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+(Reactance^2*Slip)))

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