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Torque of Induction Motor under Running Condition Formula

GoStarting Torque of Induction Motor 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 s \cdot E^{2} \cdot R}{2 \cdot π \cdot N s \cdot (R^{2} + (X^{2} \cdot s))}

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

Torque of Induction Motor under Running Condition Example

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Here is how the Torque of Induction Motor under Running Condition equation looks like with Values.

Here is how the Torque of Induction Motor under Running Condition equation looks like with Units.

Here is how the Torque of Induction Motor under Running Condition equation looks like.

0.058 = \frac{3 \cdot 0.19 \cdot {305.8}^{2} \cdot 14.25}{2 \cdot 3.1416 \cdot 15660 \cdot ({14.25}^{2} + (75^{2} \cdot 0.19))}

0.058N*m = \frac{3 \cdot 0.19 \cdot {305.8V}^{2} \cdot 14.25Ω}{2 \cdot 3.1416 \cdot 15660rev/min \cdot ({14.25Ω}^{2} + ({75Ω}^{2} \cdot 0.19))}

0.058 = \frac{3 \cdot 0.19 \cdot {305.8}^{2} \cdot 14.25}{2 \cdot 3.1416 \cdot 15660 \cdot ({14.25}^{2} + (75^{2} \cdot 0.19))}

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Torque of Induction Motor under Running Condition Solution

Follow our step by step solution on how to calculate Torque of Induction Motor under Running Condition?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

τ = \frac{3 \cdot 0.19 \cdot {305.8V}^{2} \cdot 14.25Ω}{2 \cdot π \cdot 15660rev/min \cdot ({14.25Ω}^{2} + ({75Ω}^{2} \cdot 0.19))}

Next Step Substitute values of Constants

∴

τ = \frac{3 \cdot 0.19 \cdot {305.8V}^{2} \cdot 14.25Ω}{2 \cdot 3.1416 \cdot 15660rev/min \cdot ({14.25Ω}^{2} + ({75Ω}^{2} \cdot 0.19))}

Next Step Convert Units

∴

τ = \frac{3 \cdot 0.19 \cdot {305.8V}^{2} \cdot 14.25Ω}{2 \cdot 3.1416 \cdot 1639.9114rad/s \cdot ({14.25Ω}^{2} + ({75Ω}^{2} \cdot 0.19))}

Next Step Prepare to Evaluate

∴

τ = \frac{3 \cdot 0.19 \cdot {305.8}^{2} \cdot 14.25}{2 \cdot 3.1416 \cdot 1639.9114 \cdot ({14.25}^{2} + (75^{2} \cdot 0.19))}

Next Step Evaluate

∴

τ = 0.0579617312687895N*m

LAST Step Rounding Answer

∴

τ = 0.058N*m

Torque of Induction Motor under Running Condition 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

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.

Symbol: s

Measurement: NAUnit: Unitless