Frequency given Number of Poles in Induction Motor Calculator

✖Number of Polesis defined as the number of poles in an electrical machine for the flux generation.ⓘ Number of Poles [n]			+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%

✖Frequency is the rate at which current changes direction per second. It is measured in hertz (Hz).ⓘ Frequency given Number of Poles in Induction Motor [f]

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Formula

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Frequency given Number of Poles in Induction Motor

Formula

`"f" = ("n"*"N"_{"s"})/120`

Example

`"54.66371Hz"=("4"*"15660rev/min")/120`

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Frequency given Number of Poles in Induction Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Frequency = (Number of Poles*Synchronous Speed)/120
f = (n*N_s)/120
This formula uses 3 Variables

Variables Used

Frequency - (Measured in Hertz) - Frequency is the rate at which current changes direction per second. It is measured in hertz (Hz).
Number of Poles - Number of Polesis defined as the number of poles in an electrical machine for the flux generation.
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

Number of Poles: 4 --> No Conversion Required
Synchronous Speed: 15660 Revolution per Minute --> 1639.91136509036 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = (n*N_s)/120 --> (4*1639.91136509036)/120

Evaluating ... ...

f = 54.6637121696787

STEP 3: Convert Result to Output's Unit

54.6637121696787 Hertz --> No Conversion Required

FINAL ANSWER

54.6637121696787 ≈ 54.66371 Hertz <-- Frequency

(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 3 Frequency Calculators

Rotor Frequency in Induction Motor

Go Rotor Frequency = (Number of Poles/120)*(Synchronous Speed-Motor Speed)

Frequency given Number of Poles in Induction Motor

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

Rotor Frequency given Supply Frequency

Go Rotor Frequency = Slip*Frequency

< 25 Induction Motor Circuit Calculators

Torque of Induction Motor under Running Condition

Go Torque = (3*Slip*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+(Reactance^2*Slip)))

Rotor Current in Induction Motor

Go Rotor Current = (Slip*Induced EMF)/sqrt(Rotor Resistance per Phase^2+(Slip*Rotor Reactance per Phase)^2)

Starting Torque of Induction Motor

Go Torque = (3*EMF^2*Resistance)/(2*pi*Synchronous Speed*(Resistance^2+Reactance^2))

Maximum Running Torque

Go Running Torque = (3*EMF^2)/(4*pi*Synchronous Speed*Reactance)

Linear Synchronous Speed

Go Linear Synchronous Speed = 2*Pole Pitch Width*Line Frequency

Stator Copper Loss in Induction Motor

Go Stator Copper Loss = 3*Stator Current^2*Stator Resistance

Rotor Copper Loss in Induction Motor

Go Rotor Copper Loss = 3*Rotor Current^2*Rotor Resistance

Synchronous Speed in Induction Motor

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

Frequency given Number of Poles in Induction Motor

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

Armature Current given Power in Induction Motor

Go Armature Current = Output Power/Armature Voltage

Synchronous Speed of Induction Motor given Efficiency

Go Synchronous Speed = (Motor Speed)/(Efficiency)

Rotor Efficiency in Induction Motor

Go Efficiency = (Motor Speed)/(Synchronous Speed)

Field Current using Load Current in Induction Motor

Go Field Current = Armature Current-Load Current

Rotor Input Power in Induction Motor

Go Rotor Input Power = Input Power-Stator Losses

Load Current in Induction Motor

Go Load Current = Armature Current-Field Current

Force by Linear Induction Motor

Go Force = Input Power/Linear Synchronous Speed

Motor Speed given Efficiency in Induction Motor

Go Motor Speed = Efficiency*Synchronous Speed

Rotor Copper Loss given Input Rotor Power

Go Rotor Copper Loss = Slip*Rotor Input Power

Pitch Factor in Induction Motor

Go Pitch Factor = cos(Short Pitched Angle/2)

Gross Mechanical Power in Induction Motor

Go Mechanical Power = (1-Slip)*Input Power

Rotor Frequency given Supply Frequency

Go Rotor Frequency = Slip*Frequency

Resistance given Slip at Maximum Torque

Go Resistance = Slip*Reactance

Reactance given Slip at Maximum Torque

Go Reactance = Resistance/Slip

Breakdown Slip of Induction Motor

Go Slip = Resistance/Reactance

Slip given Efficiency in Induction Motor

Go Slip = 1-Efficiency

Frequency given Number of Poles in Induction Motor Formula

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

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 Frequency given Number of Poles in Induction Motor?

Frequency given Number of Poles in Induction Motor calculator uses Frequency = (Number of Poles*Synchronous Speed)/120 to calculate the Frequency, Frequency given Number of Poles in Induction Motor is the number of occurrences of a repeating event per unit of time. It is also the number of times something happens within a particular period, or the fact of something happening often or a large number of times. Frequency is denoted by f symbol.

How to calculate Frequency given Number of Poles in Induction Motor using this online calculator? To use this online calculator for Frequency given Number of Poles in Induction Motor, enter Number of Poles (n) & Synchronous Speed (N_s) and hit the calculate button. Here is how the Frequency given Number of Poles in Induction Motor calculation can be explained with given input values -> 54.66371 = (4*1639.91136509036)/120.

FAQ

What is Frequency given Number of Poles in Induction Motor?

Frequency given Number of Poles in Induction Motor is the number of occurrences of a repeating event per unit of time. It is also the number of times something happens within a particular period, or the fact of something happening often or a large number of times and is represented as f = (n*N_s)/120 or Frequency = (Number of Poles*Synchronous Speed)/120. Number of Polesis defined as the number of poles in an electrical machine for the flux generation & Synchronous speed is a definite speed for an alternating-current machine that is dependent on the frequency of the supply circuit.

How to calculate Frequency given Number of Poles in Induction Motor?

Frequency given Number of Poles in Induction Motor is the number of occurrences of a repeating event per unit of time. It is also the number of times something happens within a particular period, or the fact of something happening often or a large number of times is calculated using Frequency = (Number of Poles*Synchronous Speed)/120. To calculate Frequency given Number of Poles in Induction Motor, you need Number of Poles (n) & Synchronous Speed (N_s). With our tool, you need to enter the respective value for Number of Poles & 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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