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Torque of Squirrel Cage Induction Motor Formula

GoTorque Generated by Scherbius Drive Formula

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Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.Torque is a vector quantity. Check FAQs

τ = \frac{K \cdot E^{2} \cdot R r}{{(R s + R r)}^{2} + {(X s + X r)}^{2}}

τ - Torque?K - Constant?E - Voltage?R_r - Rotor Resistance?R_s - Stator Resistance?X_s - Stator Reactance?X_r - Rotor Reactance?

Torque of Squirrel Cage Induction Motor Example

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

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

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

5.3398 = \frac{0.6 \cdot 200^{2} \cdot 2.75}{{(55 + 2.75)}^{2} + {(50 + 45)}^{2}}

5.3398N*m = \frac{0.6 \cdot {200V}^{2} \cdot 2.75Ω}{{(55Ω + 2.75Ω)}^{2} + {(50Ω + 45Ω)}^{2}}

5.3398 = \frac{0.6 \cdot 200^{2} \cdot 2.75}{{(55 + 2.75)}^{2} + {(50 + 45)}^{2}}

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Torque of Squirrel Cage Induction Motor Solution

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

FIRST Step Consider the formula

τ = \frac{K \cdot E^{2} \cdot R r}{{(R s + R r)}^{2} + {(X s + X r)}^{2}}

Next Step Substitute values of Variables

∴

τ = \frac{0.6 \cdot {200V}^{2} \cdot 2.75Ω}{{(55Ω + 2.75Ω)}^{2} + {(50Ω + 45Ω)}^{2}}

Next Step Prepare to Evaluate

∴

τ = \frac{0.6 \cdot 200^{2} \cdot 2.75}{{(55 + 2.75)}^{2} + {(50 + 45)}^{2}}

Next Step Evaluate

∴

τ = 5.33977882393394N*m

LAST Step Rounding Answer

∴

τ = 5.3398N*m

Torque of Squirrel Cage Induction Motor Formula Elements

Variables

Torque

Torque is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.Torque is a vector quantity.

Symbol: τ

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Constant

Constant is a number expressing a property, quantity, or relation that remains unchanged under specified conditions.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Voltage

Voltage is the pressure from an electrical circuit's power source that pushes charged electrons (current) through a conducting loop, enabling them to do work such as illuminating a light.

Symbol: E

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Rotor Resistance

Rotor Resistance starter, a star connected variable resistance is connected in the rotor circuit through slip-rings.

Symbol: R_r

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Stator Resistance

Stator resistance refers to the electrical resistance present in the stator winding of an electric motor or generator.

Symbol: R_s

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Stator Reactance

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

Symbol: X_s

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Rotor Reactance

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

Symbol: X_r

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Credits

Created by Aman Dhussawat

GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY (GTBIT), NEW DELHI

Aman Dhussawat has created this Formula and 50+ more formulas!

Verified by Parminder Singh

Chandigarh University (CU), Punjab

Parminder Singh has verified this Formula and 500+ more formulas!

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How to Evaluate Torque of Squirrel Cage Induction Motor?

Torque of Squirrel Cage Induction Motor evaluator uses Torque = (Constant*Voltage^2*Rotor Resistance)/((Stator Resistance+Rotor Resistance)^2+(Stator Reactance+Rotor Reactance)^2) to evaluate the Torque, Torque of Squirrel Cage Induction Motor is defined as the starting torque required by an induction motor with a squirrel cage wound rotor. Torque is denoted by τ symbol.

How to evaluate Torque of Squirrel Cage Induction Motor using this online evaluator? To use this online evaluator for Torque of Squirrel Cage Induction Motor, enter Constant (K), Voltage (E), Rotor Resistance (R_r), Stator Resistance (R_s), Stator Reactance (X_s) & Rotor Reactance (X_r) and hit the calculate button.

FAQs on Torque of Squirrel Cage Induction Motor

What is the formula to find Torque of Squirrel Cage Induction Motor?

The formula of Torque of Squirrel Cage Induction Motor is expressed as Torque = (Constant*Voltage^2*Rotor Resistance)/((Stator Resistance+Rotor Resistance)^2+(Stator Reactance+Rotor Reactance)^2). Here is an example- 5.339779 = (0.6*200^2*2.75)/((55+2.75)^2+(50+45)^2).

How to calculate Torque of Squirrel Cage Induction Motor?

With Constant (K), Voltage (E), Rotor Resistance (R_r), Stator Resistance (R_s), Stator Reactance (X_s) & Rotor Reactance (X_r) we can find Torque of Squirrel Cage Induction Motor using the formula - Torque = (Constant*Voltage^2*Rotor Resistance)/((Stator Resistance+Rotor Resistance)^2+(Stator Reactance+Rotor Reactance)^2).

What are the other ways to Calculate Torque?

Here are the different ways to Calculate Torque-

Torque=1.35*((Back Emf*AC Line Voltage*Rectified Rotor Current*RMS Value of Rotor Side Line Voltage)/(Back Emf*Angular Frequency))

Can the Torque of Squirrel Cage Induction Motor be negative?

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

Which unit is used to measure Torque of Squirrel Cage Induction Motor?

Torque of Squirrel Cage 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 Torque of Squirrel Cage Induction Motor can be measured.