Motor Speed of DC Motor Calculator

✖The Number of Parallel Paths in a DC machine refers to the number of independent paths for current to flow in the armature winding.ⓘ Number of Parallel Paths [n_\|\|]			+10% -10%
✖The Back emf opposes the current which causes it in any dc machine.ⓘ Back EMF [E_b]			+10% -10%
✖The number of conductors is the variable we use for getting the correct number of conductors placed in the rotor of a dc motor.ⓘ Number of Conductors [Z]			+10% -10%
✖Number of Poles is defined as the number of poles in an electrical machine for the flux generation.ⓘ Number of Poles [n]			+10% -10%
✖Magnetic flux (Φ) is the number of magnetic field lines passing through the magnetic core of an electrical dc motor.ⓘ Magnetic Flux [Φ]			+10% -10%

✖Motor Speed is the speed of the rotor(motor).ⓘ Motor Speed of DC Motor [N]

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Formula

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Motor Speed of DC Motor

Formula

`"N" = (60*"n"_{"||"}*"E"_{"b"})/("Z"*"n"*"Φ")`

Example

`"1289.983rev/min"=(60*"6"*"24.943V")/("14"*"4"*"1.187Wb")`

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Motor Speed of DC Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Motor Speed = (60*Number of Parallel Paths*Back EMF)/(Number of Conductors*Number of Poles*Magnetic Flux)
N = (60*n_||*E_b)/(Z*n*Φ)
This formula uses 6 Variables

Variables Used

Motor Speed - (Measured in Radian per Second) - Motor Speed is the speed of the rotor(motor).
Number of Parallel Paths - The Number of Parallel Paths in a DC machine refers to the number of independent paths for current to flow in the armature winding.
Back EMF - (Measured in Volt) - The Back emf opposes the current which causes it in any dc machine.
Number of Conductors - The number of conductors is the variable we use for getting the correct number of conductors placed in the rotor of a dc motor.
Number of Poles - Number of Poles is defined as the number of poles in an electrical machine for the flux generation.
Magnetic Flux - (Measured in Weber) - Magnetic flux (Φ) is the number of magnetic field lines passing through the magnetic core of an electrical dc motor.

STEP 1: Convert Input(s) to Base Unit

Number of Parallel Paths: 6 --> No Conversion Required
Back EMF: 24.943 Volt --> 24.943 Volt No Conversion Required
Number of Conductors: 14 --> No Conversion Required
Number of Poles: 4 --> No Conversion Required
Magnetic Flux: 1.187 Weber --> 1.187 Weber No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = (60*n_||*E_b)/(Z*n*Φ) --> (60*6*24.943)/(14*4*1.187)

Evaluating ... ...

N = 135.086653026838

STEP 3: Convert Result to Output's Unit

135.086653026838 Radian per Second -->1289.98251456335 Revolution per Minute (Check conversion here)

FINAL ANSWER

1289.98251456335 ≈ 1289.983 Revolution per Minute <-- Motor Speed

(Calculation completed in 00.004 seconds)

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Created by Prahalad Singh

Jaipur Engineering College and Research Centre (JECRC), Jaipur

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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

Motor Speed of DC Motor Formula

Motor Speed = (60*Number of Parallel Paths*Back EMF)/(Number of Conductors*Number of Poles*Magnetic Flux)
N = (60*n_||*E_b)/(Z*n*Φ)

What are methods of Speed Control of D.C Series Motors?

There are two methods Of Speed Control Of D.C Series Motors:-
1. flux control method
2.Armature-resistance control method

How to Calculate Motor Speed of DC Motor?

Motor Speed of DC Motor calculator uses Motor Speed = (60*Number of Parallel Paths*Back EMF)/(Number of Conductors*Number of Poles*Magnetic Flux) to calculate the Motor Speed, The Motor Speed of DC Motor formula is defined as the speed of the rotor of the dc motor with respect to no. of poles, parallel paths, and conductors. Motor Speed is denoted by N symbol.

How to calculate Motor Speed of DC Motor using this online calculator? To use this online calculator for Motor Speed of DC Motor, enter Number of Parallel Paths (n_||), Back EMF (E_b), Number of Conductors (Z), Number of Poles (n) & Magnetic Flux (Φ) and hit the calculate button. Here is how the Motor Speed of DC Motor calculation can be explained with given input values -> 12297.19 = (60*6*24.943)/(14*4*1.187).

FAQ

What is Motor Speed of DC Motor?

The Motor Speed of DC Motor formula is defined as the speed of the rotor of the dc motor with respect to no. of poles, parallel paths, and conductors and is represented as N = (60*n_||*E_b)/(Z*n*Φ) or Motor Speed = (60*Number of Parallel Paths*Back EMF)/(Number of Conductors*Number of Poles*Magnetic Flux). The Number of Parallel Paths in a DC machine refers to the number of independent paths for current to flow in the armature winding, The Back emf opposes the current which causes it in any dc machine, The number of conductors is the variable we use for getting the correct number of conductors placed in the rotor of a dc motor, Number of Poles is defined as the number of poles in an electrical machine for the flux generation & Magnetic flux (Φ) is the number of magnetic field lines passing through the magnetic core of an electrical dc motor.

How to calculate Motor Speed of DC Motor?

The Motor Speed of DC Motor formula is defined as the speed of the rotor of the dc motor with respect to no. of poles, parallel paths, and conductors is calculated using Motor Speed = (60*Number of Parallel Paths*Back EMF)/(Number of Conductors*Number of Poles*Magnetic Flux). To calculate Motor Speed of DC Motor, you need Number of Parallel Paths (n_||), Back EMF (E_b), Number of Conductors (Z), Number of Poles (n) & Magnetic Flux (Φ). With our tool, you need to enter the respective value for Number of Parallel Paths, Back EMF, Number of Conductors, Number of Poles & Magnetic Flux 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 Motor Speed?

In this formula, Motor Speed uses Number of Parallel Paths, Back EMF, Number of Conductors, Number of Poles & Magnetic Flux. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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