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Machine Construction Constant of Series DC Motor using Speed Formula

GoMachine Construction Constant of Series DC Motor using Armature Induced Voltage 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{V s - I a \cdot (R a + R sf)}{Φ \cdot N}

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

Machine Construction Constant of Series DC Motor using Speed Example

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Here is how the Machine Construction Constant of Series DC Motor using Speed equation looks like with Values.

Here is how the Machine Construction Constant of Series DC Motor using Speed equation looks like with Units.

Here is how the Machine Construction Constant of Series DC Motor using Speed equation looks like.

1.1284 = \frac{240 - 0.724 \cdot (80 + 1.58)}{1.187 \cdot 1290}

1.1284 = \frac{240V - 0.724A \cdot (80Ω + 1.58Ω)}{1.187Wb \cdot 1290rev/min}

1.1284 = \frac{240 - 0.724 \cdot (80 + 1.58)}{1.187 \cdot 1290}

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Home » Engineering » Electrical » Machine » Machine Construction Constant of Series DC Motor using Speed

Machine Construction Constant of Series DC Motor using Speed Solution

Follow our step by step solution on how to calculate Machine Construction Constant of Series DC Motor using Speed?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

K f = \frac{240V - 0.724A \cdot (80Ω + 1.58Ω)}{1.187Wb \cdot 1290rev/min}

Next Step Convert Units

∴

K f = \frac{240V - 0.724A \cdot (80Ω + 1.58Ω)}{1.187Wb \cdot 135.0885rad/s}

Next Step Prepare to Evaluate

∴

K f = \frac{240 - 0.724 \cdot (80 + 1.58)}{1.187 \cdot 135.0885}

Next Step Evaluate

∴

K f = 1.12838194851735

LAST Step Rounding Answer

∴

K f = 1.1284

Machine Construction Constant of Series DC Motor using 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.

Supply Voltage

Supply Voltage is the input voltage being fed to the dc motor circuit. It affects various motor parameters, such as speed, torque, and power consumption.

Symbol: V_s

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Armature Current

The armature current plays a crucial role in determining the performance and operation of a DC motor. It affects the motor's torque production, speed, and efficiency.

Symbol: I_a

Measurement: Electric CurrentUnit: A

Note: Value can be positive or negative.

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.

Series Field Resistance

The Series Field Resistance is resistance just like the field resistance but it is connected to a series with the armature of the dc generator.

Symbol: R_sf

Measurement: Electric ResistanceUnit: Ω

Note: Value should be greater than 0.

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.

Motor Speed

Motor speed refers to the rotational speed of a motor, indicating how fast the motor's shaft or rotor is rotating.

Symbol: N

Measurement: Angular VelocityUnit: rev/min

Note: Value can be positive or negative.

Credits

Created by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

Urvi Rathod has created this Formula and 1500+ more formulas!

Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has verified this Formula and 1200+ more formulas!

Other Formulas to find Constant of Machine Construction

Go Machine Construction Constant of Series DC Motor using Armature Induced Voltage

K f = \frac{V a}{Φ \cdot ω s \cdot I a}

Other formulas in Mechanical Specifications category

Go Magnetic Flux of Series DC Motor given Speed

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

How to Evaluate Machine Construction Constant of Series DC Motor using Speed?

Machine Construction Constant of Series DC Motor using Speed evaluator uses Constant of Machine Construction = (Supply Voltage-Armature Current*(Armature Resistance+Series Field Resistance))/(Magnetic Flux*Motor Speed) to evaluate the Constant of Machine Construction, The Machine Construction Constant of Series DC Motor using 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 Series DC Motor using Speed using this online evaluator? To use this online evaluator for Machine Construction Constant of Series DC Motor using Speed, enter Supply Voltage (V_s), Armature Current (I_a), Armature Resistance (R_a), Series Field Resistance (R_sf), Magnetic Flux (Φ) & Motor Speed (N) and hit the calculate button.

FAQs on Machine Construction Constant of Series DC Motor using Speed

What is the formula to find Machine Construction Constant of Series DC Motor using Speed?

The formula of Machine Construction Constant of Series DC Motor using Speed is expressed as Constant of Machine Construction = (Supply Voltage-Armature Current*(Armature Resistance+Series Field Resistance))/(Magnetic Flux*Motor Speed). Here is an example- 1.123867 = (240-0.724*(80+1.58))/(1.187*135.088484097482).

How to calculate Machine Construction Constant of Series DC Motor using Speed?

With Supply Voltage (V_s), Armature Current (I_a), Armature Resistance (R_a), Series Field Resistance (R_sf), Magnetic Flux (Φ) & Motor Speed (N) we can find Machine Construction Constant of Series DC Motor using Speed using the formula - Constant of Machine Construction = (Supply Voltage-Armature Current*(Armature Resistance+Series Field Resistance))/(Magnetic Flux*Motor 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=Armature Voltage/(Magnetic Flux*Angular Speed*Armature Current)

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Machine Construction Constant of Series DC Motor using Speed Formula

​GoMachine Construction Constant of Series DC Motor using Armature Induced Voltage Formula

Machine Construction Constant of Series DC Motor using Speed Example

Machine Construction Constant of Series DC Motor using Speed Solution

Machine Construction Constant of Series DC Motor using Speed Formula Elements

Credits

Other Formulas to find Constant of Machine Construction

Other formulas in Mechanical Specifications category

How to Evaluate Machine Construction Constant of Series DC Motor using Speed?

FAQs on Machine Construction Constant of Series DC Motor using Speed

Variable Name

GoMachine Construction Constant of Series DC Motor using Armature Induced Voltage Formula