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||*Eb)/(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||*Eb)/(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)

Credits

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Created by Prahalad Singh
Jaipur Engineering College and Research Centre (JECRC), Jaipur
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Verified by Parminder Singh
Chandigarh University (CU), Punjab
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DC Motor Characteristics Calculators

Machine Construction Constant of DC Motor
​ LaTeX ​ Go Constant of Machine Construction = (Supply Voltage-Armature Current*Armature Resistance)/(Magnetic Flux*Motor Speed)
Back EMF Equation of DC Motor
​ LaTeX ​ Go Back EMF = (Number of Poles*Magnetic Flux*Number of Conductors*Motor Speed)/(60*Number of Parallel Paths)
Armature Current given Electrical Efficiency of DC Motor
​ LaTeX ​ Go Armature Current = (Angular Speed*Armature Torque)/(Supply Voltage*Electrical Efficiency)
Supply Voltage given Electrical Efficiency of DC Motor
​ LaTeX ​ Go Supply Voltage = (Angular Speed*Armature Torque)/(Armature Current*Electrical Efficiency)

Motor Speed of DC Motor Formula

​LaTeX ​Go
Motor Speed = (60*Number of Parallel Paths*Back EMF)/(Number of Conductors*Number of Poles*Magnetic Flux)
N = (60*n||*Eb)/(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 (Eb), 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||*Eb)/(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 (Eb), 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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