Mechanical Power of Synchronous Motor given Input Power Calculator

✖Input Power is defined as the total power supplied to the electrical motor from the source which is connected to it.ⓘ Input Power [P_in]			+10% -10%
✖Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor.ⓘ Armature Current [I_a]			+10% -10%
✖The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical motor.ⓘ Armature Resistance [R_a]			+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 Input Power [P_m]

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Mechanical Power of Synchronous Motor given Input Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mechanical Power = Input Power-Armature Current^2*Armature Resistance
P_m = P_in-I_a^2*R_a
This formula uses 4 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.
Input Power - (Measured in Watt) - Input Power is defined as the total power supplied to the electrical motor from the source which is connected to it.
Armature Current - (Measured in Ampere) - Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor.
Armature Resistance - (Measured in Ohm) - The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical motor.

STEP 1: Convert Input(s) to Base Unit

Input Power: 769 Watt --> 769 Watt No Conversion Required
Armature Current: 3.7 Ampere --> 3.7 Ampere No Conversion Required
Armature Resistance: 12.85 Ohm --> 12.85 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_m = P_in-I_a^2*R_a --> 769-3.7^2*12.85

Evaluating ... ...

P_m = 593.0835

STEP 3: Convert Result to Output's Unit

593.0835 Watt --> No Conversion Required

FINAL ANSWER

593.0835 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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Osmania University (OU), Hyderabad

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< Power Calculators

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 Input Power Formula

LaTeX Go

Mechanical Power = Input Power-Armature Current^2*Armature Resistance
P_m = P_in-I_a^2*R_a

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 Input Power?

Mechanical Power of Synchronous Motor given Input Power calculator uses Mechanical Power = Input Power-Armature Current^2*Armature Resistance to calculate the Mechanical Power, The Mechanical Power of Synchronous Motor given Input Power 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 Input Power using this online calculator? To use this online calculator for Mechanical Power of Synchronous Motor given Input Power, enter Input Power (P_in), Armature Current (I_a) & Armature Resistance (R_a) and hit the calculate button. Here is how the Mechanical Power of Synchronous Motor given Input Power calculation can be explained with given input values -> 593.0835 = 769-3.7^2*12.85.

FAQ

What is Mechanical Power of Synchronous Motor given Input Power?

The Mechanical Power of Synchronous Motor given Input Power 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 = P_in-I_a^2*R_a or Mechanical Power = Input Power-Armature Current^2*Armature Resistance. Input Power is defined as the total power supplied to the electrical motor from the source which is connected to it, Armature Current Motor is defined as the armature current developed in an synchronous motor due to the rotation of rotor & The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical motor.

How to calculate Mechanical Power of Synchronous Motor given Input Power?

The Mechanical Power of Synchronous Motor given Input Power 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 = Input Power-Armature Current^2*Armature Resistance. To calculate Mechanical Power of Synchronous Motor given Input Power, you need Input Power (P_in), Armature Current (I_a) & Armature Resistance (R_a). With our tool, you need to enter the respective value for Input Power, Armature Current & Armature Resistance 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 Input Power, Armature Current & Armature Resistance. 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 = Gross Torque*Synchronous Speed
Mechanical Power = ((Back EMF*Voltage)/Synchronous Impedance)*cos(Phase Difference-Load Angle)-(Back EMF^2/Synchronous Impedance)*cos(Phase Difference)

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