Number of Poles given Synchronous Speed in Synchronous Motor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Number of Poles = (Frequency*120)/Synchronous Speed
P = (f*120)/Ns
This formula uses 3 Variables
Variables Used
Number of Poles - Number of Poles is defined as the total number of poles present in any electrical machine.
Frequency - (Measured in Hertz) - Frequency is the rate at which current changes direction per second. It is measured in hertz (Hz).
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
Frequency: 61 Hertz --> 61 Hertz 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 = (f*120)/Ns --> (61*120)/2439.97029416382
Evaluating ... ...
P = 3.00003652401374
STEP 3: Convert Result to Output's Unit
3.00003652401374 --> No Conversion Required
FINAL ANSWER
3.00003652401374 3 <-- Number of Poles
(Calculation completed in 00.004 seconds)

Credits

Created by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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5 Mechanical Specification Calculators

Distribution Factor in Synchronous Motor
Go Distribution Factor = (sin((Number of Slots*Angular Slot Pitch)/2))/(Number of Slots*sin(Angular Slot Pitch/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)
Angular Slot Pitch in Synchronous Motor
Go Angular Slot Pitch = (Number of Poles*180)/(Number of Slots*2)
Number of Poles given Synchronous Speed in Synchronous Motor
Go Number of Poles = (Frequency*120)/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

Number of Poles given Synchronous Speed in Synchronous Motor Formula

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

What is Synchronous speed?

Synchronous Speed is the speed of the stator magnetic field in the three-phase induction motor and Motor Speed is the speed at which the rotor rotates.

How to Calculate Number of Poles given Synchronous Speed in Synchronous Motor?

Number of Poles given Synchronous Speed in Synchronous Motor calculator uses Number of Poles = (Frequency*120)/Synchronous Speed to calculate the Number of Poles, Number of Poles given Synchronous Speed in Synchronous Motor is the total number of poles that any motor has. The squirrel-cage motor has 2 poles and a cylindrical motor has n number of poles. Number of Poles is denoted by P symbol.

How to calculate Number of Poles given Synchronous Speed in Synchronous Motor using this online calculator? To use this online calculator for Number of Poles given Synchronous Speed in Synchronous Motor, enter Frequency (f) & Synchronous Speed (Ns) and hit the calculate button. Here is how the Number of Poles given Synchronous Speed in Synchronous Motor calculation can be explained with given input values -> 3 = (61*120)/2439.97029416382.

FAQ

What is Number of Poles given Synchronous Speed in Synchronous Motor?
Number of Poles given Synchronous Speed in Synchronous Motor is the total number of poles that any motor has. The squirrel-cage motor has 2 poles and a cylindrical motor has n number of poles and is represented as P = (f*120)/Ns or Number of Poles = (Frequency*120)/Synchronous Speed. Frequency is the rate at which current changes direction per second. It is measured in hertz (Hz) & Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit.
How to calculate Number of Poles given Synchronous Speed in Synchronous Motor?
Number of Poles given Synchronous Speed in Synchronous Motor is the total number of poles that any motor has. The squirrel-cage motor has 2 poles and a cylindrical motor has n number of poles is calculated using Number of Poles = (Frequency*120)/Synchronous Speed. To calculate Number of Poles given Synchronous Speed in Synchronous Motor, you need Frequency (f) & Synchronous Speed (Ns). With our tool, you need to enter the respective value for Frequency & Synchronous Speed and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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