DC Motor Frequency given Speed Calculator

✖Number of Poles is defined as the number of poles in an electrical machine for the flux generation.ⓘ Number of Poles [n]			+10% -10%
✖Motor Speed is the speed of the rotor(motor).ⓘ Motor Speed [N]			+10% -10%

✖Frequency is the number of occurrences of a repeating event per unit of time for an electrical signal.ⓘ DC Motor Frequency given Speed [f]

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Formula

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DC Motor Frequency given Speed

Formula

`"f" = ("n"*"N")/120`

Example

`"4.502949Hz"=("4"*"1290rev/min")/120`

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DC Motor Frequency given Speed Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Frequency - (Measured in Hertz) - Frequency is the number of occurrences of a repeating event per unit of time for an electrical signal.
Number of Poles - Number of Poles is defined as the number of poles in an electrical machine for the flux generation.
Motor Speed - (Measured in Radian per Second) - Motor Speed is the speed of the rotor(motor).

STEP 1: Convert Input(s) to Base Unit

Number of Poles: 4 --> No Conversion Required
Motor Speed: 1290 Revolution per Minute --> 135.088484097482 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = (n*N)/120 --> (4*135.088484097482)/120

Evaluating ... ...

f = 4.50294946991607

STEP 3: Convert Result to Output's Unit

4.50294946991607 Hertz --> No Conversion Required

FINAL ANSWER

4.50294946991607 ≈ 4.502949 Hertz <-- Frequency

(Calculation completed in 00.020 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 25 DC Motor Characteristics Calculators

Supply Voltage given Overall Efficiency of DC Motor

Go Supply Voltage = ((Electric Current-Shunt Field Current)^2*Armature Resistance+Mechanical Losses+Core Losses)/(Electric Current*(1-Overall Efficiency))

Machine Construction Constant of DC Motor

Go Constant of Machine Construction = (Supply Voltage-Armature Current*Armature Resistance)/(Magnetic Flux*Motor Speed)

Motor Speed of DC Motor given Flux

Go Motor Speed = (Supply Voltage-Armature Current*Armature Resistance)/(Constant of Machine Construction*Magnetic Flux)

Magnetic Flux of DC Motor

Go Magnetic Flux = (Supply Voltage-Armature Current*Armature Resistance)/(Constant of Machine Construction*Motor Speed)

Back EMF Equation of DC Motor

Go Back EMF = (Number of Poles*Magnetic Flux*Number of Conductors*Motor Speed)/(60*Number of Parallel Paths)

Motor Speed of DC Motor

Go Motor Speed = (60*Number of Parallel Paths*Back EMF)/(Number of Conductors*Number of Poles*Magnetic Flux)

Overall Efficiency of DC Motor given Input Power

Go Overall Efficiency = (Input Power-(Armature Copper Loss+Field Copper Losses+Power Loss))/Input Power

Armature Current of DC Motor

Go Armature Current = Armature Voltage/(Constant of Machine Construction*Magnetic Flux*Angular Speed)

Armature Current given Electrical Efficiency of DC Motor

Go Armature Current = (Angular Speed*Armature Torque)/(Supply Voltage*Electrical Efficiency)

Supply Voltage given Electrical Efficiency of DC Motor

Go Supply Voltage = (Angular Speed*Armature Torque)/(Armature Current*Electrical Efficiency)

Electrical Efficiency of DC Motor

Go Electrical Efficiency = (Armature Torque*Angular Speed)/(Supply Voltage*Armature Current)

Armature Torque given Electrical Efficiency of DC Motor

Go Armature Torque = (Armature Current*Supply Voltage*Electrical Efficiency)/Angular Speed

Angular Speed given Electrical Efficiency of DC Motor

Go Angular Speed = (Electrical Efficiency*Supply Voltage*Armature Current)/Armature Torque

Mechanical Power Developed in DC Motor given Input Power

Go Mechanical Power = Input Power-(Armature Current^2*Armature Resistance)

Total Power Loss given Overall Efficiency of DC Motor

Go Power Loss = Input Power-Overall Efficiency*Input Power

Armature Torque given Mechanical Efficiency of DC Motor

Go Armature Torque = Mechanical Efficiency*Motor Torque

Motor Torque given Mechanical Efficiency of DC Motor

Go Motor Torque = Armature Torque/Mechanical Efficiency

Mechanical Efficiency of DC Motor

Go Mechanical Efficiency = Armature Torque/Motor Torque

Converted Power given Electrical Efficiency of DC Motor

Go Converted Power = Electrical Efficiency*Input Power

Input Power given Electrical Efficiency of DC Motor

Go Input Power = Converted Power/Electrical Efficiency

Overall Efficiency of DC Motor

Go Overall Efficiency = Mechanical Power/Input Power

Output Power given Overall Efficiency of DC Motor

Go Output Power = Input Power*Overall Efficiency

Core Loss given Mechanical Loss of DC Motor

Go Core Losses = Constant Loss-Mechanical Losses

Constant Losses given Mechanical Loss

Go Constant Loss = Core Losses+Mechanical Losses

DC Motor Frequency given Speed

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

DC Motor Frequency given Speed Formula

Frequency = (Number of Poles*Motor Speed)/120
f = (n*N)/120

What is Electrical Frequency?

Electrical frequency is the measure of the rate of that oscillation and is measured in the number of changes per second – also called hertz (Hz).

How to Calculate DC Motor Frequency given Speed?

DC Motor Frequency given Speed calculator uses Frequency = (Number of Poles*Motor Speed)/120 to calculate the Frequency, DC Motor Frequency given Speed is the frequency of armature voltages, which are ac, which are then converted into dc through brushes. Frequency is denoted by f symbol.

How to calculate DC Motor Frequency given Speed using this online calculator? To use this online calculator for DC Motor Frequency given Speed, enter Number of Poles (n) & Motor Speed (N) and hit the calculate button. Here is how the DC Motor Frequency given Speed calculation can be explained with given input values -> 4.502949 = (4*135.088484097482)/120.

FAQ

What is DC Motor Frequency given Speed?

DC Motor Frequency given Speed is the frequency of armature voltages, which are ac, which are then converted into dc through brushes and is represented as f = (n*N)/120 or Frequency = (Number of Poles*Motor Speed)/120. Number of Poles is defined as the number of poles in an electrical machine for the flux generation & Motor Speed is the speed of the rotor(motor).

How to calculate DC Motor Frequency given Speed?

DC Motor Frequency given Speed is the frequency of armature voltages, which are ac, which are then converted into dc through brushes is calculated using Frequency = (Number of Poles*Motor Speed)/120. To calculate DC Motor Frequency given Speed, you need Number of Poles (n) & Motor Speed (N). With our tool, you need to enter the respective value for Number of Poles & Motor 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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