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Angular Speed of DC Shunt Motor given Kf Formula

GoAngular Speed of DC Shunt Motor given Output Power Formula

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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. Check FAQs

ω s = \frac{E b}{K f \cdot Φ}

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

Angular Speed of DC Shunt Motor given Kf Example

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

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

Here is how the Angular Speed of DC Shunt Motor given Kf equation looks like.

161.2491 = \frac{231}{2 \cdot 0.114}

161.2491rev/s = \frac{231V}{2 \cdot 0.114Wb}

161.2491 = \frac{231}{2 \cdot 0.114}

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Angular Speed of DC Shunt Motor given Kf Solution

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

FIRST Step Consider the formula

ω s = \frac{E b}{K f \cdot Φ}

Next Step Substitute values of Variables

∴

ω s = \frac{231V}{2 \cdot 0.114Wb}

Next Step Prepare to Evaluate

∴

ω s = \frac{231}{2 \cdot 0.114}

Next Step Evaluate

∴

ω s = 1013.15789473684rad/s

Next Step Convert to Output's Unit

∴

ω s = 161.249087088158rev/s

LAST Step Rounding Answer

∴

ω s = 161.2491rev/s

Angular Speed of DC Shunt Motor given Kf Formula Elements

Variables

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

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

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 Angular Speed

Go Angular Speed of DC Shunt Motor given Output Power

ω s = \frac{P out}{τ}

Other formulas in Speed category

Go Speed Regulation of Shunt DC Motor

N reg = (\frac{N nl - N fl}{N fl}) \cdot 100

Go No Load Speed of Shunt DC Motor

N nl = \frac{N reg \cdot N fl}{100 + N fl}

Go Full Load Speed of Shunt DC Motor

N fl = \frac{100 \cdot N nl}{N reg + 100}

Go Torque of DC Motor given Output Power

τ = \frac{P out}{ω s}

How to Evaluate Angular Speed of DC Shunt Motor given Kf?

Angular Speed of DC Shunt Motor given Kf evaluator uses Angular Speed = Back EMF/(Constant of Machine Construction*Magnetic Flux) to evaluate the Angular Speed, The Angular Speed of DC Shunt Motor given Kf formula is defined as the rate of change of angular displacement in the shunt DC motor. Angular Speed is denoted by ω_s symbol.

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

FAQs on Angular Speed of DC Shunt Motor given Kf

What is the formula to find Angular Speed of DC Shunt Motor given Kf?

The formula of Angular Speed of DC Shunt Motor given Kf is expressed as Angular Speed = Back EMF/(Constant of Machine Construction*Magnetic Flux). Here is an example- 25.55249 = 231/(2*0.114).

How to calculate Angular Speed of DC Shunt Motor given Kf?

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

What are the other ways to Calculate Angular Speed?

Here are the different ways to Calculate Angular Speed-

Angular Speed=Output Power/Torque

Can the Angular Speed of DC Shunt Motor given Kf be negative?

No, the Angular Speed of DC Shunt Motor given Kf, measured in Angular Velocity cannot be negative.

Which unit is used to measure Angular Speed of DC Shunt Motor given Kf?

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

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