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Maximum Running Torque Formula

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Running Torque is maximum at the value of slip (s) which makes rotor reactance per phase equal to rotor resistance per phase. Check FAQs

τ run = \frac{3 \cdot E^{2}}{4 \cdot π \cdot N s \cdot X}

τ_run - Running Torque?E - EMF?N_s - Synchronous Speed?X - Reactance?π - Archimedes' constant?

Maximum Running Torque Example

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Here is how the Maximum Running Torque equation looks like with Values.

Here is how the Maximum Running Torque equation looks like with Units.

Here is how the Maximum Running Torque equation looks like.

0.1815 = \frac{3 \cdot {305.8}^{2}}{4 \cdot 3.1416 \cdot 15660 \cdot 75}

0.1815N*m = \frac{3 \cdot {305.8V}^{2}}{4 \cdot 3.1416 \cdot 15660rev/min \cdot 75Ω}

0.1815 = \frac{3 \cdot {305.8}^{2}}{4 \cdot 3.1416 \cdot 15660 \cdot 75}

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Maximum Running Torque Solution

Follow our step by step solution on how to calculate Maximum Running Torque?

FIRST Step Consider the formula

τ run = \frac{3 \cdot E^{2}}{4 \cdot π \cdot N s \cdot X}

Next Step Substitute values of Variables

∴

τ run = \frac{3 \cdot {305.8V}^{2}}{4 \cdot π \cdot 15660rev/min \cdot 75Ω}

Next Step Substitute values of Constants

∴

τ run = \frac{3 \cdot {305.8V}^{2}}{4 \cdot 3.1416 \cdot 15660rev/min \cdot 75Ω}

Next Step Convert Units

∴

τ run = \frac{3 \cdot {305.8V}^{2}}{4 \cdot 3.1416 \cdot 1639.9114rad/s \cdot 75Ω}

Next Step Prepare to Evaluate

∴

τ run = \frac{3 \cdot {305.8}^{2}}{4 \cdot 3.1416 \cdot 1639.9114 \cdot 75}

Next Step Evaluate

∴

τ run = 0.181511737394367N*m

LAST Step Rounding Answer

∴

τ run = 0.1815N*m

Maximum Running Torque Formula Elements

Variables

Constants

Running Torque

Running Torque is maximum at the value of slip (s) which makes rotor reactance per phase equal to rotor resistance per phase.

Symbol: τ_run

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Running Torque

EMF

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.

Symbol: E

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find EMF

Synchronous Speed

Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit.

Symbol: N_s

Measurement: Angular VelocityUnit: rev/min

Note: Value can be positive or negative.

Formulas to find Synchronous Speed

Reactance

Reactance is defined as the opposition to the flow of current from a circuit element due to its inductance and capacitance.

Symbol: X

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Reactance

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Torque and Efficiency category

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Go Field Current using Load Current in Induction Motor

I f = I a - I L

Go Load Current in Induction Motor

I L = I a - I f

Go Rotor Current in Induction Motor

I r = \frac{s \cdot E i}{\sqrt{{R r(ph)}^{2} + {(s \cdot X r(ph))}^{2}}}

How to Evaluate Maximum Running Torque?

Maximum Running Torque evaluator uses Running Torque = (3*EMF^2)/(4*pi*Synchronous Speed*Reactance) to evaluate 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 evaluate Maximum Running Torque using this online evaluator? To use this online evaluator for Maximum Running Torque, enter EMF (E), Synchronous Speed (N_s) & Reactance (X) and hit the calculate button.

FAQs on Maximum Running Torque

What is the formula to find Maximum Running Torque?

The formula of Maximum Running Torque is expressed as Running Torque = (3*EMF^2)/(4*pi*Synchronous Speed*Reactance). Here is an example- 0.181512 = (3*305.8^2)/(4*pi*1639.91136509036*75).

How to calculate Maximum Running Torque?

With EMF (E), Synchronous Speed (N_s) & Reactance (X) we can find Maximum Running Torque using the formula - Running Torque = (3*EMF^2)/(4*pi*Synchronous Speed*Reactance). This formula also uses Archimedes' constant .

Can the Maximum Running Torque be negative?

Yes, the Maximum Running Torque, measured in Torque can be negative.

Which unit is used to measure Maximum Running Torque?

Maximum Running Torque is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Maximum Running Torque can be measured.

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Maximum Running Torque Formula

Maximum Running Torque Example

Maximum Running Torque Solution

Maximum Running Torque Formula Elements

Other formulas in Torque and Efficiency category

How to Evaluate Maximum Running Torque?

FAQs on Maximum Running Torque

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