Motor Speed of DC Motor given Flux Calculator

✖Supply Voltage is the input voltage being fed to the dc motor circuit.ⓘ Supply Voltage [V_s]			+10% -10%
✖Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor.ⓘ Armature Current [I_a]			+10% -10%
✖The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical dc motor.ⓘ Armature Resistance [R_a]			+10% -10%
✖Constant of Machine construction is a constant term which is calculated separately to a make calculation less complex.ⓘ Constant of Machine Construction [K_f]			+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 given Flux [N]

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Formula

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Motor Speed of DC Motor given Flux

Formula

`"N" = ("V"_{"s"}-"I"_{"a"}*"R"_{"a"})/("K"_{"f"}*"Φ")`

Example

`"1290.586rev/min"=("240V"-"0.724A"*"80Ω")/("1.135"*"1.187Wb")`

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Motor Speed of DC Motor given Flux Solution

STEP 0: Pre-Calculation Summary

Formula Used

Motor Speed = (Supply Voltage-Armature Current*Armature Resistance)/(Constant of Machine Construction*Magnetic Flux)
N = (V_s-I_a*R_a)/(K_f*Φ)
This formula uses 6 Variables

Variables Used

Motor Speed - (Measured in Radian per Second) - Motor Speed is the speed of the rotor(motor).
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.
Constant of Machine Construction - Constant of Machine construction is a constant term which is calculated separately to a make calculation less complex.
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

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
Constant of Machine Construction: 1.135 --> No Conversion Required
Magnetic Flux: 1.187 Weber --> 1.187 Weber No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

N = (V_s-I_a*R_a)/(K_f*Φ) --> (240-0.724*80)/(1.135*1.187)

Evaluating ... ...

N = 135.149879940174

STEP 3: Convert Result to Output's Unit

135.149879940174 Radian per Second -->1290.58628711102 Revolution per Minute (Check conversion here)

FINAL ANSWER

1290.58628711102 ≈ 1290.586 Revolution per Minute <-- Motor Speed

(Calculation completed in 00.005 seconds)

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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 given Flux Formula

Motor Speed = (Supply Voltage-Armature Current*Armature Resistance)/(Constant of Machine Construction*Magnetic Flux)
N = (V_s-I_a*R_a)/(K_f*Φ)

What is a DC shunt motor?

A DC shunt motor is a type of self-excited DC motor, and it is also known as a shunt wound DC motor. The field windings in this motor can be connected in parallel to the armature winding.

How to Calculate Motor Speed of DC Motor given Flux?

Motor Speed of DC Motor given Flux calculator uses Motor Speed = (Supply Voltage-Armature Current*Armature Resistance)/(Constant of Machine Construction*Magnetic Flux) to calculate the Motor Speed, Motor Speed of DC Motor given Flux 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 given Flux using this online calculator? To use this online calculator for Motor Speed of DC Motor given Flux, enter Supply Voltage (V_s), Armature Current (I_a), Armature Resistance (R_a), Constant of Machine Construction (K_f) & Magnetic Flux (Φ) and hit the calculate button. Here is how the Motor Speed of DC Motor given Flux calculation can be explained with given input values -> 121906.8 = (240-0.724*80)/(1.135*1.187).

FAQ

What is Motor Speed of DC Motor given Flux?

Motor Speed of DC Motor given Flux 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 = (V_s-I_a*R_a)/(K_f*Φ) or Motor Speed = (Supply Voltage-Armature Current*Armature Resistance)/(Constant of Machine Construction*Magnetic Flux). 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, Constant of Machine construction is a constant term which is calculated separately to a make calculation less complex & 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 given Flux?

Motor Speed of DC Motor given Flux 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 = (Supply Voltage-Armature Current*Armature Resistance)/(Constant of Machine Construction*Magnetic Flux). To calculate Motor Speed of DC Motor given Flux, you need Supply Voltage (V_s), Armature Current (I_a), Armature Resistance (R_a), Constant of Machine Construction (K_f) & Magnetic Flux (Φ). With our tool, you need to enter the respective value for Supply Voltage, Armature Current, Armature Resistance, Constant of Machine Construction & 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 Supply Voltage, Armature Current, Armature Resistance, Constant of Machine Construction & Magnetic Flux. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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