Mechanical Power of Synchronous Motor given Gross Torque Calculator

✖Gross Torque is the immediate twisting force required to turn a blade or pump at a given moment.ⓘ Gross Torque [τ_g]			+10% -10%
✖Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit.ⓘ Synchronous Speed [N_s]			+10% -10%

✖Mechanical Power power is the product of a force on an object and the object's velocity or the product of torque on a shaft and the shaft's angular velocity.ⓘ Mechanical Power of Synchronous Motor given Gross Torque [P_m]

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Mechanical Power of Synchronous Motor given Gross Torque Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mechanical Power = Gross Torque*Synchronous Speed
P_m = τ_g*N_s
This formula uses 3 Variables

Variables Used

Mechanical Power - (Measured in Watt) - Mechanical Power power is the product of a force on an object and the object's velocity or the product of torque on a shaft and the shaft's angular velocity.
Gross Torque - (Measured in Newton Meter) - Gross Torque is the immediate twisting force required to turn a blade or pump at a given moment.
Synchronous Speed - (Measured in Radian per Second) - Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit.

STEP 1: Convert Input(s) to Base Unit

Gross Torque: 0.243 Newton Meter --> 0.243 Newton Meter No Conversion Required
Synchronous Speed: 23300 Revolution per Minute --> 2439.97029416382 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_m = τ_g*N_s --> 0.243*2439.97029416382

Evaluating ... ...

P_m = 592.912781481808

STEP 3: Convert Result to Output's Unit

592.912781481808 Watt --> No Conversion Required

FINAL ANSWER

592.912781481808 ≈ 592.9128 Watt <-- Mechanical Power

(Calculation completed in 00.004 seconds)

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Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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3 Phase Input Power of Synchronous Motor

LaTeX Go Three Phase Input Power = sqrt(3)*Load Voltage*Load Current*cos(Phase Difference)

Mechanical Power of Synchronous Motor

LaTeX Go Mechanical Power = Back EMF*Armature Current*cos(Load Angle-Phase Difference)

Input Power of Synchronous Motor

LaTeX Go Input Power = Armature Current*Voltage*cos(Phase Difference)

Mechanical Power of Synchronous Motor given Input Power

LaTeX Go Mechanical Power = Input Power-Armature Current^2*Armature Resistance

< Synchronous Motor Circuit Calculators

Load Current of Synchronous Motor given 3 Phase Mechanical Power

LaTeX Go Load Current = (Three Phase Mechanical Power+3*Armature Current^2*Armature Resistance)/(sqrt(3)*Load Voltage*cos(Phase Difference))

Armature Current of Synchronous Motor given 3 Phase Mechanical Power

LaTeX Go Armature Current = sqrt((Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Resistance))

Armature Current of Synchronous Motor given Mechanical Power

LaTeX Go Armature Current = sqrt((Input Power-Mechanical Power)/Armature Resistance)

Armature Current of Synchronous Motor given Input Power

LaTeX Go Armature Current = Input Power/(cos(Phase Difference)*Voltage)

Mechanical Power of Synchronous Motor given Gross Torque Formula

LaTeX Go

Mechanical Power = Gross Torque*Synchronous Speed
P_m = τ_g*N_s

What are the characteristics of a synchronous motor?

Synchronous motors operate at a constant speed determined by the frequency of the power supply and the number of poles in the motor. They have a high power factor, precise speed control, require DC excitation for the rotor, and offer high efficiency and starting torque, making them suitable for heavy loads.

How to Calculate Mechanical Power of Synchronous Motor given Gross Torque?

Mechanical Power of Synchronous Motor given Gross Torque calculator uses Mechanical Power = Gross Torque*Synchronous Speed to calculate the Mechanical Power, The Mechanical Power of Synchronous Motor given Gross Torque formula is defined as any energy derived from steam, water, wind, electricity, compressed air or gas, or the combustion of fuel or explosive, which is used to drive or work any machinery. Mechanical Power is denoted by P_m symbol.

How to calculate Mechanical Power of Synchronous Motor given Gross Torque using this online calculator? To use this online calculator for Mechanical Power of Synchronous Motor given Gross Torque, enter Gross Torque (τ_g) & Synchronous Speed (N_s) and hit the calculate button. Here is how the Mechanical Power of Synchronous Motor given Gross Torque calculation can be explained with given input values -> 592.9128 = 0.243*2439.97029416382.

FAQ

What is Mechanical Power of Synchronous Motor given Gross Torque?

The Mechanical Power of Synchronous Motor given Gross Torque formula is defined as any energy derived from steam, water, wind, electricity, compressed air or gas, or the combustion of fuel or explosive, which is used to drive or work any machinery and is represented as P_m = τ_g*N_s or Mechanical Power = Gross Torque*Synchronous Speed. Gross Torque is the immediate twisting force required to turn a blade or pump at a given moment & Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit.

How to calculate Mechanical Power of Synchronous Motor given Gross Torque?

The Mechanical Power of Synchronous Motor given Gross Torque formula is defined as any energy derived from steam, water, wind, electricity, compressed air or gas, or the combustion of fuel or explosive, which is used to drive or work any machinery is calculated using Mechanical Power = Gross Torque*Synchronous Speed. To calculate Mechanical Power of Synchronous Motor given Gross Torque, you need Gross Torque (τ_g) & Synchronous Speed (N_s). With our tool, you need to enter the respective value for Gross Torque & Synchronous Speed and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Mechanical Power?

In this formula, Mechanical Power uses Gross Torque & Synchronous Speed. We can use 3 other way(s) to calculate the same, which is/are as follows -

Mechanical Power = Back EMF*Armature Current*cos(Load Angle-Phase Difference)
Mechanical Power = Input Power-Armature Current^2*Armature Resistance
Mechanical Power = ((Back EMF*Voltage)/Synchronous Impedance)*cos(Phase Difference-Load Angle)-(Back EMF^2/Synchronous Impedance)*cos(Phase Difference)

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