Synchronous Speed of Synchronous Motor given Mechanical Power Calculator

✖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 [P_m]			+10% -10%
✖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 of Synchronous Motor given Mechanical Power [N_s]

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Synchronous Speed of Synchronous Motor given Mechanical Power

Formula

`"N"_{"s"} = "P"_{"m"}/"τ"_{"g"}`

Example

`"23303.43rev/min"="593W"/"0.243N*m"`

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Synchronous Speed of Synchronous Motor given Mechanical Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Mechanical Power: 593 Watt --> 593 Watt No Conversion Required
Gross Torque: 0.243 Newton Meter --> 0.243 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N_s = P_m/τ_g --> 593/0.243

Evaluating ... ...

N_s = 2440.329218107

STEP 3: Convert Result to Output's Unit

2440.329218107 Radian per Second -->23303.4274711852 Revolution per Minute (Check conversion here)

FINAL ANSWER

23303.4274711852 ≈ 23303.43 Revolution per Minute <-- Synchronous Speed

(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 2 Speed Calculators

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

< 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

Synchronous Speed of Synchronous Motor given Mechanical Power Formula

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

Is synchronous motor a fixed speed motor?

This is where the term synchronous motor comes from, as the speed of the rotor of the motor is the same as the rotating magnetic field. It is a fixed speed motor because it has only one speed, which is synchronous speed.

How to Calculate Synchronous Speed of Synchronous Motor given Mechanical Power?

Synchronous Speed of Synchronous Motor given Mechanical Power calculator uses Synchronous Speed = Mechanical Power/Gross Torque to calculate the Synchronous Speed, The Synchronous Speed of Synchronous Motor given Mechanical Power formula is defined as a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit because the rotating member passes one pair of poles for each alternation of the alternating current. Synchronous Speed is denoted by N_s symbol.

How to calculate Synchronous Speed of Synchronous Motor given Mechanical Power using this online calculator? To use this online calculator for Synchronous Speed of Synchronous Motor given Mechanical Power, enter Mechanical Power (P_m) & Gross Torque (τ_g) and hit the calculate button. Here is how the Synchronous Speed of Synchronous Motor given Mechanical Power calculation can be explained with given input values -> 222531.3 = 593/0.243.

FAQ

What is Synchronous Speed of Synchronous Motor given Mechanical Power?

The Synchronous Speed of Synchronous Motor given Mechanical Power formula is defined as a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit because the rotating member passes one pair of poles for each alternation of the alternating current and is represented as N_s = P_m/τ_g or Synchronous Speed = Mechanical Power/Gross Torque. 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 is the immediate twisting force required to turn a blade or pump at a given moment.

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

The Synchronous Speed of Synchronous Motor given Mechanical Power formula is defined as a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit because the rotating member passes one pair of poles for each alternation of the alternating current is calculated using Synchronous Speed = Mechanical Power/Gross Torque. To calculate Synchronous Speed of Synchronous Motor given Mechanical Power, you need Mechanical Power (P_m) & Gross Torque (τ_g). With our tool, you need to enter the respective value for Mechanical Power & Gross Torque 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 Synchronous Speed?

In this formula, Synchronous Speed uses Mechanical Power & Gross Torque. We can use 2 other way(s) to calculate the same, which is/are as follows -

Synchronous Speed = (120*Frequency)/Number of Poles
Synchronous Speed = (120*Frequency)/Number of Poles

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