Machine Construction Constant of DC Motor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Constant of Machine Construction = (Supply Voltage-Armature Current*Armature Resistance)/(Magnetic Flux*Motor Speed)
Kf = (Vs-Ia*Ra)/(Φ*N)
This formula uses 6 Variables
Variables Used
Constant of Machine Construction - Constant of Machine construction is a constant term which is calculated separately to a make calculation less complex.
Supply Voltage - (Measured in Volt) - Supply Voltage is the input voltage being fed to the dc motor circuit.
Armature Current - (Measured in Ampere) - Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor.
Armature Resistance - (Measured in Ohm) - The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical dc motor.
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.
Motor Speed - (Measured in Radian per Second) - Motor Speed is the speed of the rotor(motor).
STEP 1: Convert Input(s) to Base Unit
Supply Voltage: 240 Volt --> 240 Volt No Conversion Required
Armature Current: 0.724 Ampere --> 0.724 Ampere No Conversion Required
Armature Resistance: 80 Ohm --> 80 Ohm No Conversion Required
Magnetic Flux: 1.187 Weber --> 1.187 Weber 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
Kf = (Vs-Ia*Ra)/(Φ*N) --> (240-0.724*80)/(1.187*135.088484097482)
Evaluating ... ...
Kf = 1.13551584176047
STEP 3: Convert Result to Output's Unit
1.13551584176047 --> No Conversion Required
FINAL ANSWER
1.13551584176047 1.135516 <-- Constant of Machine Construction
(Calculation completed in 00.004 seconds)

Credits

Created by Prahalad Singh
Jaipur Engineering College and Research Centre (JECRC), Jaipur
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Birsa Institute of Technology (BIT), Sindri
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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

Machine Construction Constant of DC Motor Formula

Constant of Machine Construction = (Supply Voltage-Armature Current*Armature Resistance)/(Magnetic Flux*Motor Speed)
Kf = (Vs-Ia*Ra)/(Φ*N)

Why Starters are used with DC motor?

Starters are used with a DC motor to restrict armature current as there is no back emf while starting.

How to Calculate Machine Construction Constant of DC Motor?

Machine Construction Constant of DC Motor calculator uses Constant of Machine Construction = (Supply Voltage-Armature Current*Armature Resistance)/(Magnetic Flux*Motor Speed) to calculate the Constant of Machine Construction, Machine Construction Constant of DC Motor is defined as a constant based on machine construction that is required to find all the basic quality of the machine. Constant of Machine Construction is denoted by Kf symbol.

How to calculate Machine Construction Constant of DC Motor using this online calculator? To use this online calculator for Machine Construction Constant of DC Motor, enter Supply Voltage (Vs), Armature Current (Ia), Armature Resistance (Ra), Magnetic Flux (Φ) & Motor Speed (N) and hit the calculate button. Here is how the Machine Construction Constant of DC Motor calculation can be explained with given input values -> 11.23214 = (240-0.724*80)/(1.187*135.088484097482).

FAQ

What is Machine Construction Constant of DC Motor?
Machine Construction Constant of DC Motor is defined as a constant based on machine construction that is required to find all the basic quality of the machine and is represented as Kf = (Vs-Ia*Ra)/(Φ*N) or Constant of Machine Construction = (Supply Voltage-Armature Current*Armature Resistance)/(Magnetic Flux*Motor Speed). Supply Voltage is the input voltage being fed to the dc motor circuit, Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor, The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical dc motor, Magnetic flux (Φ) is the number of magnetic field lines passing through the magnetic core of an electrical dc motor & Motor Speed is the speed of the rotor(motor).
How to calculate Machine Construction Constant of DC Motor?
Machine Construction Constant of DC Motor is defined as a constant based on machine construction that is required to find all the basic quality of the machine is calculated using Constant of Machine Construction = (Supply Voltage-Armature Current*Armature Resistance)/(Magnetic Flux*Motor Speed). To calculate Machine Construction Constant of DC Motor, you need Supply Voltage (Vs), Armature Current (Ia), Armature Resistance (Ra), Magnetic Flux (Φ) & Motor Speed (N). With our tool, you need to enter the respective value for Supply Voltage, Armature Current, Armature Resistance, Magnetic Flux & 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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