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Machine Construction Constant of DC Shunt Motor given Angular Speed Formula

GoMachine Construction Constant of Shunt DC Motor Formula

GoMachine Construction Constant using Speed of Shunt DC Motor Formula

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

K f = \frac{E b}{Φ \cdot ω s}

K_f - Constant of Machine Construction?E_b - Back EMF?Φ - Magnetic Flux?ω_s - Angular Speed?

Machine Construction Constant of DC Shunt Motor given Angular Speed Example

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Here is how the Machine Construction Constant of DC Shunt Motor given Angular Speed equation looks like with Values.

Here is how the Machine Construction Constant of DC Shunt Motor given Angular Speed equation looks like with Units.

Here is how the Machine Construction Constant of DC Shunt Motor given Angular Speed equation looks like.

2.0031 = \frac{231}{0.114 \cdot 161}

2.0031 = \frac{231V}{0.114Wb \cdot 161rev/s}

2.0031 = \frac{231}{0.114 \cdot 161}

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Machine Construction Constant of DC Shunt Motor given Angular Speed Solution

Follow our step by step solution on how to calculate Machine Construction Constant of DC Shunt Motor given Angular Speed?

FIRST Step Consider the formula

K f = \frac{E b}{Φ \cdot ω s}

Next Step Substitute values of Variables

∴

K f = \frac{231V}{0.114Wb \cdot 161rev/s}

Next Step Convert Units

∴

K f = \frac{231V}{0.114Wb \cdot 1011.5928rad/s}

Next Step Prepare to Evaluate

∴

K f = \frac{231}{0.114 \cdot 1011.5928}

Next Step Evaluate

∴

K f = 2.00309424954233

LAST Step Rounding Answer

∴

K f = 2.0031

Machine Construction Constant of DC Shunt Motor given Angular Speed Formula Elements

Variables

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

Back EMF

The Back emf opposes the current which causes it in any dc machine. Back emf refers to the voltage that is generated in an inductor or a coil of wire when the current flowing through it changes.

Symbol: E_b

Measurement: Electric PotentialUnit: V

Note: Value can be positive or negative.

Formulas to find Back EMF

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

Angular Speed

Angular speed refers to the rate at which an object rotates around an axis. In the context of a DC (direct current) motor, angular speed represents how fast the motor's rotor is spinning.

Symbol: ω_s

Measurement: Angular VelocityUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Angular Speed

Other Formulas to find Constant of Machine Construction

Go Machine Construction Constant of Shunt DC Motor

K f = \frac{60 \cdot n ||}{n \cdot Z}

Go Machine Construction Constant using Speed of Shunt DC Motor

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

Other formulas in Mechanical Specifications category

Go Number of Parallel Paths of Shunt DC Motor

n || = \frac{K \cdot Z \cdot n}{60}

Go Number of Armature Conductors of DC Shunt Motor using K

Z = \frac{60 \cdot n ||}{K \cdot n}

Go Number of Poles of Shunt DC Motor

n = \frac{60 \cdot n ||}{K \cdot Z}

Go Machine Constant of DC Shunt Motor given Torque

K = \frac{τ}{Φ \cdot I a}

How to Evaluate Machine Construction Constant of DC Shunt Motor given Angular Speed?

Machine Construction Constant of DC Shunt Motor given Angular Speed evaluator uses Constant of Machine Construction = Back EMF/(Magnetic Flux*Angular Speed) to evaluate the Constant of Machine Construction, The Machine Construction Constant of DC Shunt Motor given Angular Speed formula 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 K_f symbol.

How to evaluate Machine Construction Constant of DC Shunt Motor given Angular Speed using this online evaluator? To use this online evaluator for Machine Construction Constant of DC Shunt Motor given Angular Speed, enter Back EMF (E_b), Magnetic Flux (Φ) & Angular Speed (ω_s) and hit the calculate button.

FAQs on Machine Construction Constant of DC Shunt Motor given Angular Speed

What is the formula to find Machine Construction Constant of DC Shunt Motor given Angular Speed?

The formula of Machine Construction Constant of DC Shunt Motor given Angular Speed is expressed as Constant of Machine Construction = Back EMF/(Magnetic Flux*Angular Speed). Here is an example- 1.994423 = 231/(0.114*1011.5928344044).

How to calculate Machine Construction Constant of DC Shunt Motor given Angular Speed?

With Back EMF (E_b), Magnetic Flux (Φ) & Angular Speed (ω_s) we can find Machine Construction Constant of DC Shunt Motor given Angular Speed using the formula - Constant of Machine Construction = Back EMF/(Magnetic Flux*Angular Speed).

What are the other ways to Calculate Constant of Machine Construction?

Here are the different ways to Calculate Constant of Machine Construction-

Constant of Machine Construction=(60*Number of Parallel Paths)/(Number of Poles*Number of Conductors)
Constant of Machine Construction=(Terminal Voltage-Armature Current*Armature Resistance)/(Motor Speed*Magnetic Flux)

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