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Starting Torque of Induction Motor Formula

GoTorque of Induction Motor under Running Condition Formula

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Torque is defined as a measure of the force that causes the rotor of an electrical machine to rotate about an axis. Check FAQs

τ = \frac{3 \cdot E^{2} \cdot R}{2 \cdot π \cdot N s \cdot (R^{2} + X^{2})}

τ - Torque?E - EMF?R - Resistance?N_s - Synchronous Speed?X - Reactance?π - Archimedes' constant?

Starting Torque of Induction Motor Example

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Here is how the Starting Torque of Induction Motor equation looks like with Values.

Here is how the Starting Torque of Induction Motor equation looks like with Units.

Here is how the Starting Torque of Induction Motor equation looks like.

0.0666 = \frac{3 \cdot {305.8}^{2} \cdot 14.25}{2 \cdot 3.1416 \cdot 15660 \cdot ({14.25}^{2} + 75^{2})}

0.0666N*m = \frac{3 \cdot {305.8V}^{2} \cdot 14.25Ω}{2 \cdot 3.1416 \cdot 15660rev/min \cdot ({14.25Ω}^{2} + {75Ω}^{2})}

0.0666 = \frac{3 \cdot {305.8}^{2} \cdot 14.25}{2 \cdot 3.1416 \cdot 15660 \cdot ({14.25}^{2} + 75^{2})}

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Starting Torque of Induction Motor Solution

Follow our step by step solution on how to calculate Starting Torque of Induction Motor?

FIRST Step Consider the formula

τ = \frac{3 \cdot E^{2} \cdot R}{2 \cdot π \cdot N s \cdot (R^{2} + X^{2})}

Next Step Substitute values of Variables

∴

τ = \frac{3 \cdot {305.8V}^{2} \cdot 14.25Ω}{2 \cdot π \cdot 15660rev/min \cdot ({14.25Ω}^{2} + {75Ω}^{2})}

Next Step Substitute values of Constants

∴

τ = \frac{3 \cdot {305.8V}^{2} \cdot 14.25Ω}{2 \cdot 3.1416 \cdot 15660rev/min \cdot ({14.25Ω}^{2} + {75Ω}^{2})}

Next Step Convert Units

∴

τ = \frac{3 \cdot {305.8V}^{2} \cdot 14.25Ω}{2 \cdot 3.1416 \cdot 1639.9114rad/s \cdot ({14.25Ω}^{2} + {75Ω}^{2})}

Next Step Prepare to Evaluate

∴

τ = \frac{3 \cdot {305.8}^{2} \cdot 14.25}{2 \cdot 3.1416 \cdot 1639.9114 \cdot ({14.25}^{2} + 75^{2})}

Next Step Evaluate

∴

τ = 0.0665712385000092N*m

LAST Step Rounding Answer

∴

τ = 0.0666N*m

Starting Torque of Induction Motor Formula Elements

Variables

Constants

Torque

Torque is defined as a measure of the force that causes the rotor of an electrical machine to rotate about an axis.

Symbol: τ

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find 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

Resistance

Resistance is a measure of the opposition to current flow in an electrical circuit.

Symbol: R

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Resistance

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 to find Torque

Go Torque of Induction Motor under Running Condition

τ = \frac{3 \cdot s \cdot E^{2} \cdot R}{2 \cdot π \cdot N s \cdot (R^{2} + (X^{2} \cdot s))}

Other formulas in Torque and Efficiency category

Go Armature Current given Power in Induction Motor

I a = \frac{P out}{V a}

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 Starting Torque of Induction Motor?

Starting Torque of Induction Motor evaluator uses Torque = (3*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+Reactance^2)) to evaluate 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 evaluate Starting Torque of Induction Motor using this online evaluator? To use this online evaluator for Starting Torque of Induction Motor, enter EMF (E), Resistance (R), Synchronous Speed (N_s) & Reactance (X) and hit the calculate button.

FAQs on Starting Torque of Induction Motor

What is the formula to find Starting Torque of Induction Motor?

The formula of Starting Torque of Induction Motor is expressed as Torque = (3*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+Reactance^2)). Here is an example- 0.066571 = (3*305.8^2*14.25)/(2*pi*1639.91136509036*(14.25^2+75^2)).

How to calculate Starting Torque of Induction Motor?

With EMF (E), Resistance (R), Synchronous Speed (N_s) & Reactance (X) we can find Starting Torque of Induction Motor using the formula - Torque = (3*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+Reactance^2)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Torque?

Here are the different ways to Calculate Torque-

Torque=(3*Slip*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+(Reactance^2*Slip)))

Can the Starting Torque of Induction Motor be negative?

No, the Starting Torque of Induction Motor, measured in Torque cannot be negative.

Which unit is used to measure Starting Torque of Induction Motor?

Starting Torque of Induction Motor 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 Starting Torque of Induction Motor can be measured.

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Starting Torque of Induction Motor Formula

​GoTorque of Induction Motor under Running Condition Formula

Starting Torque of Induction Motor Example

Starting Torque of Induction Motor Solution

Starting Torque of Induction Motor Formula Elements

Other Formulas to find Torque

Other formulas in Torque and Efficiency category

How to Evaluate Starting Torque of Induction Motor?

FAQs on Starting Torque of Induction Motor

Variable Name

GoTorque of Induction Motor under Running Condition Formula