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Motor Speed of DC Motor given Flux Formula

GoMotor Speed of DC Motor Formula

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Motor Speed is the speed of the rotor(motor). Check FAQs

N = \frac{V s - I a \cdot R a}{K f \cdot Φ}

N - Motor Speed?V_s - Supply Voltage?I_a - Armature Current?R_a - Armature Resistance?K_f - Constant of Machine Construction?Φ - Magnetic Flux?

Motor Speed of DC Motor given Flux Example

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Here is how the Motor Speed of DC Motor given Flux equation looks like with Values.

Here is how the Motor Speed of DC Motor given Flux equation looks like with Units.

Here is how the Motor Speed of DC Motor given Flux equation looks like.

1290.5863 = \frac{240 - 0.724 \cdot 80}{1.135 \cdot 1.187}

1290.5863rev/min = \frac{240V - 0.724A \cdot 80Ω}{1.135 \cdot 1.187Wb}

1290.5863 = \frac{240 - 0.724 \cdot 80}{1.135 \cdot 1.187}

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Motor Speed of DC Motor given Flux Solution

Follow our step by step solution on how to calculate Motor Speed of DC Motor given Flux?

FIRST Step Consider the formula

N = \frac{V s - I a \cdot R a}{K f \cdot Φ}

Next Step Substitute values of Variables

∴

N = \frac{240V - 0.724A \cdot 80Ω}{1.135 \cdot 1.187Wb}

Next Step Prepare to Evaluate

∴

N = \frac{240 - 0.724 \cdot 80}{1.135 \cdot 1.187}

Next Step Evaluate

∴

N = 135.149879940174rad/s

Next Step Convert to Output's Unit

∴

N = 1290.58628711102rev/min

LAST Step Rounding Answer

∴

N = 1290.5863rev/min

Motor Speed of DC Motor given Flux Formula Elements

Variables

Motor Speed

Motor Speed is the speed of the rotor(motor).

Symbol: N

Measurement: Angular VelocityUnit: rev/min

Note: Value can be positive or negative.

Formulas to find Motor Speed

Supply Voltage

Supply Voltage is the input voltage being fed to the dc motor circuit.

Symbol: V_s

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Supply Voltage

Armature Current

Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor.

Symbol: I_a

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

Formulas to find Armature Current

Armature Resistance

The Armature Resistance is the ohmic resistance of the copper winding wires plus the brush resistance in an electrical dc motor.

Symbol: R_a

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

Formulas to find Armature Resistance

Constant of Machine Construction

Constant of Machine construction is a constant term which is calculated separately to a make calculation less complex.

Symbol: K_f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant of Machine Construction

Magnetic Flux

Magnetic flux (Φ) is the number of magnetic field lines passing through the magnetic core of an electrical dc motor.

Symbol: Φ

Measurement: Magnetic FluxUnit: Wb

Note: Value should be greater than 0.

Formulas to find Magnetic Flux

Other Formulas to find Motor Speed

Go Motor Speed of DC Motor

N = \frac{60 \cdot n || \cdot E b}{Z \cdot n \cdot Φ}

Other formulas in DC Motor Characteristics category

Go Machine Construction Constant of DC Motor

K f = \frac{V s - I a \cdot R a}{Φ \cdot N}

Go Back EMF Equation of DC Motor

E b = \frac{n \cdot Φ \cdot Z \cdot N}{60 \cdot n ||}

Go Supply Voltage given Electrical Efficiency of DC Motor

V s = \frac{ω s \cdot τ a}{I a \cdot η e}

Go Armature Current given Electrical Efficiency of DC Motor

I a = \frac{ω s \cdot τ a}{V s \cdot η e}

How to Evaluate Motor Speed of DC Motor given Flux?

Motor Speed of DC Motor given Flux evaluator uses Motor Speed = (Supply Voltage-Armature Current*Armature Resistance)/(Constant of Machine Construction*Magnetic Flux) to evaluate 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 evaluate Motor Speed of DC Motor given Flux using this online evaluator? To use this online evaluator 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.

FAQs on Motor Speed of DC Motor given Flux

What is the formula to find Motor Speed of DC Motor given Flux?

The formula of Motor Speed of DC Motor given Flux is expressed as Motor Speed = (Supply Voltage-Armature Current*Armature Resistance)/(Constant of Machine Construction*Magnetic Flux). Here is an example- 121906.8 = (240-0.724*80)/(1.135*1.187).

How to calculate Motor Speed of DC Motor given Flux?

With Supply Voltage (V_s), Armature Current (I_a), Armature Resistance (R_a), Constant of Machine Construction (K_f) & Magnetic Flux (Φ) we can find Motor Speed of DC Motor given Flux using the formula - Motor Speed = (Supply Voltage-Armature Current*Armature Resistance)/(Constant of Machine Construction*Magnetic Flux).

What are the other ways to Calculate Motor Speed?

Here are the different ways to Calculate Motor Speed-

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

Can the Motor Speed of DC Motor given Flux be negative?

Yes, the Motor Speed of DC Motor given Flux, measured in Angular Velocity can be negative.

Which unit is used to measure Motor Speed of DC Motor given Flux?

Motor Speed of DC Motor given Flux is usually measured using the Revolution per Minute[rev/min] for Angular Velocity. Radian per Second[rev/min], Radian per Day[rev/min], Radian per Hour[rev/min] are the few other units in which Motor Speed of DC Motor given Flux can be measured.

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Motor Speed of DC Motor given Flux Formula

​GoMotor Speed of DC Motor Formula

Motor Speed of DC Motor given Flux Example

Motor Speed of DC Motor given Flux Solution

Motor Speed of DC Motor given Flux Formula Elements

Other Formulas to find Motor Speed

Other formulas in DC Motor Characteristics category

How to Evaluate Motor Speed of DC Motor given Flux?

FAQs on Motor Speed of DC Motor given Flux

Variable Name

GoMotor Speed of DC Motor Formula