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Torque Induced in Synchronous Motor Formula

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Torque is defined as the measure of the force that can cause an object to rotate about an axis. It is induced due to the interaction of rotor and stator magnetic field. Check FAQs

τ = \frac{3 \cdot V Φ \cdot E a \cdot \sin (δ)}{9.55 \cdot N m \cdot X s}

τ - Torque?V_Φ - Terminal Voltage?E_a - Internal Generated Voltage?δ - Torque Angle?N_m - Motor Speed?X_s - Synchronous Reactance?

Torque Induced in Synchronous Motor Example

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Here is how the Torque Induced in Synchronous Motor equation looks like with Values.

Here is how the Torque Induced in Synchronous Motor equation looks like with Units.

Here is how the Torque Induced in Synchronous Motor equation looks like.

0.0334 = \frac{3 \cdot 28.75 \cdot 25.55 \cdot \sin (75)}{9.55 \cdot 13560 \cdot 4.7}

0.0334N*m = \frac{3 \cdot 28.75V \cdot 25.55V \cdot \sin (75°)}{9.55 \cdot 13560rev/min \cdot 4.7Ω}

0.0334 = \frac{3 \cdot 28.75 \cdot 25.55 \cdot \sin (75)}{9.55 \cdot 13560 \cdot 4.7}

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Torque Induced in Synchronous Motor Solution

Follow our step by step solution on how to calculate Torque Induced in Synchronous Motor?

FIRST Step Consider the formula

τ = \frac{3 \cdot V Φ \cdot E a \cdot \sin (δ)}{9.55 \cdot N m \cdot X s}

Next Step Substitute values of Variables

∴

τ = \frac{3 \cdot 28.75V \cdot 25.55V \cdot \sin (75°)}{9.55 \cdot 13560rev/min \cdot 4.7Ω}

Next Step Convert Units

∴

τ = \frac{3 \cdot 28.75V \cdot 25.55V \cdot \sin (1.309rad)}{9.55 \cdot 1419.9999rad/s \cdot 4.7Ω}

Next Step Prepare to Evaluate

∴

τ = \frac{3 \cdot 28.75 \cdot 25.55 \cdot \sin (1.309)}{9.55 \cdot 1419.9999 \cdot 4.7}

Next Step Evaluate

∴

τ = 0.0333967533646358N*m

LAST Step Rounding Answer

∴

τ = 0.0334N*m

Torque Induced in Synchronous Motor Formula Elements

Variables

Functions

Torque

Torque is defined as the measure of the force that can cause an object to rotate about an axis. It is induced due to the interaction of rotor and stator magnetic field.

Symbol: τ

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Torque

Terminal Voltage

Terminal Voltage is defined as the voltage developed at the terminal of the phase of a synchronous machine.

Symbol: V_Φ

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Terminal Voltage

Internal Generated Voltage

Internal Generated Voltage is defined as the voltage which is generated internally in any synchronous machine and does not appear at the terminal of the machine.

Symbol: E_a

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Internal Generated Voltage

Torque Angle

Torque Angle is defined as the angle between the rotor and the net magnetic field.

Symbol: δ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Torque Angle

Motor Speed

Motor Speed is defined as the speed at which the rotor of a motor rotates.

Symbol: N_m

Measurement: Angular VelocityUnit: rev/min

Note: Value should be greater than 0.

Formulas to find Motor Speed

Synchronous Reactance

Synchronous Reactance is defined as the sum of Armature Reactance and the Leakage Reactance of a synchronous machine.

Symbol: X_s

Measurement: Electric ResistanceUnit: Ω

Note: Value can be positive or negative.

Formulas to find Synchronous Reactance

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other Formulas to find Torque

Go Pull Out Torque in Synchronous Motor

τ = \frac{3 \cdot V Φ \cdot E a}{9.55 \cdot N m \cdot X s}

Other formulas in Torque category

Go Armature Current of Synchronous Motor given 3 Phase Mechanical Power

I a = \sqrt{\frac{P in(3Φ) - P me(3Φ)}{3 \cdot R a}}

Go Armature Current of Synchronous Motor given Input Power

I a = \frac{P in}{\cos (Φ s) \cdot V}

Go Armature Current of Synchronous Motor given Mechanical Power

I a = \sqrt{\frac{P in - P m}{R a}}

Go Load Current of Synchronous Motor given 3 Phase Mechanical Power

I L = \frac{P me(3Φ) + 3 \cdot {I a}^{2} \cdot R a}{\sqrt{3} \cdot V L \cdot \cos (Φ s)}

How to Evaluate Torque Induced in Synchronous Motor?

Torque Induced in Synchronous Motor evaluator uses Torque = (3*Terminal Voltage*Internal Generated Voltage*sin(Torque Angle))/(9.55*Motor Speed*Synchronous Reactance) to evaluate the Torque, The Torque Induced in Synchronous Motor formula is defined as the measure of the force that can cause an object to rotate about an axis. It is induced due to the interaction of rotor and stator magnetic field. Torque is denoted by τ symbol.

How to evaluate Torque Induced in Synchronous Motor using this online evaluator? To use this online evaluator for Torque Induced in Synchronous Motor, enter Terminal Voltage (V_Φ), Internal Generated Voltage (E_a), Torque Angle (δ), Motor Speed (N_m) & Synchronous Reactance (X_s) and hit the calculate button.

FAQs on Torque Induced in Synchronous Motor

What is the formula to find Torque Induced in Synchronous Motor?

The formula of Torque Induced in Synchronous Motor is expressed as Torque = (3*Terminal Voltage*Internal Generated Voltage*sin(Torque Angle))/(9.55*Motor Speed*Synchronous Reactance). Here is an example- 0.033397 = (3*28.75*25.55*sin(1.3089969389955))/(9.55*1419.99987935028*4.7).

How to calculate Torque Induced in Synchronous Motor?

With Terminal Voltage (V_Φ), Internal Generated Voltage (E_a), Torque Angle (δ), Motor Speed (N_m) & Synchronous Reactance (X_s) we can find Torque Induced in Synchronous Motor using the formula - Torque = (3*Terminal Voltage*Internal Generated Voltage*sin(Torque Angle))/(9.55*Motor Speed*Synchronous Reactance). This formula also uses Sine (sin) function(s).

What are the other ways to Calculate Torque?

Here are the different ways to Calculate Torque-

Torque=(3*Terminal Voltage*Internal Generated Voltage)/(9.55*Motor Speed*Synchronous Reactance)

Can the Torque Induced in Synchronous Motor be negative?

Yes, the Torque Induced in Synchronous Motor, measured in Torque can be negative.

Which unit is used to measure Torque Induced in Synchronous Motor?

Torque Induced in Synchronous 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 Induced in Synchronous Motor can be measured.

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Torque Induced in Synchronous Motor Formula

​GoPull Out Torque in Synchronous Motor Formula

Torque Induced in Synchronous Motor Example

Torque Induced in Synchronous Motor Solution

Torque Induced in Synchronous Motor Formula Elements

Other Formulas to find Torque

Other formulas in Torque category

How to Evaluate Torque Induced in Synchronous Motor?

FAQs on Torque Induced in Synchronous Motor

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GoPull Out Torque in Synchronous Motor Formula