Maximum Running Torque 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%
✖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%

✖Running Torque is maximum at the value of slip (s) which makes rotor reactance per phase equal to rotor resistance per phase.ⓘ Maximum Running Torque [τ_run]

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Maximum Running Torque Solution

STEP 0: Pre-Calculation Summary

Formula Used

Running Torque = (3*EMF^2)/(4*pi*Synchronous Speed*Reactance)
τ_run = (3*E^2)/(4*pi*N_s*X)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Running Torque - (Measured in Newton Meter) - Running Torque is maximum at the value of slip (s) which makes rotor reactance per phase equal to rotor resistance per phase.
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.
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
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_run = (3*E^2)/(4*pi*N_s*X) --> (3*305.8^2)/(4*pi*1639.91136509036*75)

Evaluating ... ...

τ_run = 0.181511737394367

STEP 3: Convert Result to Output's Unit

0.181511737394367 Newton Meter --> No Conversion Required

FINAL ANSWER

0.181511737394367 ≈ 0.181512 Newton Meter <-- Running Torque

(Calculation completed in 00.005 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Calculator and 1500+ more calculators!

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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)

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

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LaTeX Go Gross Torque = Mechanical Power/Motor Speed

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LaTeX Go Rotor Current = (Slip*Induced EMF)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2)

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Field Current using Load Current in Induction Motor

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Load Current in Induction Motor

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Maximum Running Torque Formula

LaTeX Go

Running Torque = (3*EMF^2)/(4*pi*Synchronous Speed*Reactance)
τ_run = (3*E^2)/(4*pi*N_s*X)

what is the synchronous speed?

Synchronous Speed is the speed of the stator magnetic field in the three-phase induction motor. The synchronous speed is given by
Ns = 120f / p
Where
Ns = Synchronous speed in RPM
f = Supply frequency and
p = Number of poles
The standard frequency in India is 50 Hz therefore the synchronous speed for different pole condition is

How to Calculate Maximum Running Torque?

Maximum Running Torque calculator uses Running Torque = (3*EMF^2)/(4*pi*Synchronous Speed*Reactance) to calculate the Running Torque, The Maximum running torque is when the rotor rotates at its maximum speed which makes rotor reactance per phase equal to rotor resistance per phase. Running Torque is denoted by τ_run symbol.

How to calculate Maximum Running Torque using this online calculator? To use this online calculator for Maximum Running Torque, enter EMF (E), Synchronous Speed (N_s) & Reactance (X) and hit the calculate button. Here is how the Maximum Running Torque calculation can be explained with given input values -> 0.181512 = (3*305.8^2)/(4*pi*1639.91136509036*75).

FAQ

What is Maximum Running Torque?

The Maximum running torque is when the rotor rotates at its maximum speed which makes rotor reactance per phase equal to rotor resistance per phase and is represented as τ_run = (3*E^2)/(4*pi*N_s*X) or Running Torque = (3*EMF^2)/(4*pi*Synchronous Speed*Reactance). 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, 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 Maximum Running Torque?

The Maximum running torque is when the rotor rotates at its maximum speed which makes rotor reactance per phase equal to rotor resistance per phase is calculated using Running Torque = (3*EMF^2)/(4*pi*Synchronous Speed*Reactance). To calculate Maximum Running Torque, you need EMF (E), Synchronous Speed (N_s) & Reactance (X). With our tool, you need to enter the respective value for EMF, Synchronous Speed & Reactance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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