Mechanical Power of Synchronous Motor given Gross Torque Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mechanical Power = Gross Torque*Synchronous Speed
Pm = τg*Ns
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
Pm = τg*Ns --> 0.243*2439.97029416382
Evaluating ... ...
Pm = 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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8 Power Calculators

Mechanical Power Developed by Synchronous Motor
Go Mechanical Power = ((Back EMF*Voltage)/Synchronous Impedance)*cos(Phase Difference-Load Angle)-(Back EMF^2/Synchronous Impedance)*cos(Phase Difference)
3 Phase Input Power of Synchronous Motor
Go Three Phase Input Power = sqrt(3)*Load Voltage*Load Current*cos(Phase Difference)
Mechanical Power of Synchronous Motor
Go Mechanical Power = Back EMF*Armature Current*cos(Load Angle-Phase Difference)
3 Phase Mechanical Power of Synchronous Motor
Go Three Phase Mechanical Power = Three Phase Input Power-3*Armature Current^2*Armature Resistance
Input Power of Synchronous Motor
Go Input Power = Armature Current*Voltage*cos(Phase Difference)
Mechanical Power of Synchronous Motor given Input Power
Go Mechanical Power = Input Power-Armature Current^2*Armature Resistance
Output Power for Synchronous Motor
Go Output Power = Armature Current^2*Armature Resistance
Mechanical Power of Synchronous Motor given Gross Torque
Go Mechanical Power = Gross Torque*Synchronous Speed

25 Synchronous Motor Circuit Calculators

Load Current of Synchronous Motor given 3 Phase Mechanical Power
Go Load Current = (Three Phase Mechanical Power+3*Armature Current^2*Armature Resistance)/(sqrt(3)*Load Voltage*cos(Phase Difference))
Power Factor of Synchronous Motor given 3 Phase Mechanical Power
Go Power Factor = (Three Phase Mechanical Power+3*Armature Current^2*Armature Resistance)/(sqrt(3)*Load Voltage*Load Current)
Distribution Factor in Synchronous Motor
Go Distribution Factor = (sin((Number of Slots*Angular Slot Pitch)/2))/(Number of Slots*sin(Angular Slot Pitch/2))
Load Current of Synchronous Motor using 3 Phase Input Power
Go Load Current = Three Phase Input Power/(sqrt(3)*Load Voltage*cos(Phase Difference))
3 Phase Input Power of Synchronous Motor
Go Three Phase Input Power = sqrt(3)*Load Voltage*Load Current*cos(Phase Difference)
Mechanical Power of Synchronous Motor
Go Mechanical Power = Back EMF*Armature Current*cos(Load Angle-Phase Difference)
Armature Current of Synchronous Motor given 3 Phase Mechanical Power
Go Armature Current = sqrt((Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Resistance))
Armature Current of Synchronous Motor given Mechanical Power
Go Armature Current = sqrt((Input Power-Mechanical Power)/Armature Resistance)
Power Factor of Synchronous Motor using 3 Phase Input Power
Go Power Factor = Three Phase Input Power/(sqrt(3)*Load Voltage*Load Current)
Armature Resistance of Synchronous Motor given 3 Phase Mechanical Power
Go Armature Resistance = (Three Phase Input Power-Three Phase Mechanical Power)/(3*Armature Current^2)
3 Phase Mechanical Power of Synchronous Motor
Go Three Phase Mechanical Power = Three Phase Input Power-3*Armature Current^2*Armature Resistance
Phase Angle between Voltage and Armature Current given Input Power
Go Phase Difference = acos(Input Power/(Voltage*Armature Current))
Armature Current of Synchronous Motor given Input Power
Go Armature Current = Input Power/(cos(Phase Difference)*Voltage)
Input Power of Synchronous Motor
Go Input Power = Armature Current*Voltage*cos(Phase Difference)
Armature Resistance of Synchronous Motor given Input Power
Go Armature Resistance = (Input Power-Mechanical Power)/(Armature Current^2)
Magnetic Flux of Synchronous Motor given Back EMF
Go Magnetic Flux = Back EMF/(Armature Winding Constant*Synchronous Speed)
Armature Winding Constant of Synchronous Motor
Go Armature Winding Constant = Back EMF/(Magnetic Flux*Synchronous Speed)
Mechanical Power of Synchronous Motor given Input Power
Go Mechanical Power = Input Power-Armature Current^2*Armature Resistance
Power Factor of Synchronous Motor given Input Power
Go Power Factor = Input Power/(Voltage*Armature Current)
Angular Slot Pitch in Synchronous Motor
Go Angular Slot Pitch = (Number of Poles*180)/(Number of Slots*2)
Output Power for Synchronous Motor
Go Output Power = Armature Current^2*Armature Resistance
Number of Poles given Synchronous Speed in Synchronous Motor
Go Number of Poles = (Frequency*120)/Synchronous Speed
Synchronous Speed of Synchronous Motor
Go Synchronous Speed = (120*Frequency)/Number of Poles
Synchronous Speed of Synchronous Motor given Mechanical Power
Go Synchronous Speed = Mechanical Power/Gross Torque
Mechanical Power of Synchronous Motor given Gross Torque
Go Mechanical Power = Gross Torque*Synchronous Speed

Mechanical Power of Synchronous Motor given Gross Torque Formula

Mechanical Power = Gross Torque*Synchronous Speed
Pm = τg*Ns

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 Pm 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 g) & Synchronous Speed (Ns) 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 Pm = τg*Ns 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 g) & Synchronous Speed (Ns). 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 5 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)
  • Mechanical Power = Back EMF*Armature Current*cos(Load Angle-Phase Difference)
  • Mechanical Power = Input Power-Armature Current^2*Armature Resistance
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