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Machine Constant of DC Shunt Motor given Torque Formula

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The Machine Constant of DC motor is a constant quantity that we define for making the EMF equation of a DC machine easy. Check FAQs

K = \frac{τ}{Φ \cdot I a}

K - Machine Constant?τ - Torque?Φ - Magnetic Flux?I_a - Armature Current?

Machine Constant of DC Shunt Motor given Torque Example

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

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

Here is how the Machine Constant of DC Shunt Motor given Torque equation looks like.

2.0152 = \frac{0.85}{0.114 \cdot 3.7}

2.0152 = \frac{0.85N*m}{0.114Wb \cdot 3.7A}

2.0152 = \frac{0.85}{0.114 \cdot 3.7}

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Machine Constant of DC Shunt Motor given Torque Solution

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

FIRST Step Consider the formula

K = \frac{τ}{Φ \cdot I a}

Next Step Substitute values of Variables

∴

K = \frac{0.85N*m}{0.114Wb \cdot 3.7A}

Next Step Prepare to Evaluate

∴

K = \frac{0.85}{0.114 \cdot 3.7}

Next Step Evaluate

∴

K = 2.01517306780465

LAST Step Rounding Answer

∴

K = 2.0152

Machine Constant of DC Shunt Motor given Torque Formula Elements

Variables

Machine Constant

The Machine Constant of DC motor is a constant quantity that we define for making the EMF equation of a DC machine easy.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Machine Constant

Torque

Torque is defined as a measure of the force that causes the rotor of an electrical machine to rotate about an axis.

Symbol: τ

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque

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

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

Other formulas in Mechanical Specifications category

Go Machine Construction Constant of Shunt DC Motor

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

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}

How to Evaluate Machine Constant of DC Shunt Motor given Torque?

Machine Constant of DC Shunt Motor given Torque evaluator uses Machine Constant = Torque/(Magnetic Flux*Armature Current) to evaluate the Machine Constant, The Machine Constant of DC Shunt Motor given Torque formula is defined as a constant based on machine construction that is required to find all the basic quality of the machine. Machine Constant is denoted by K symbol.

How to evaluate Machine Constant of DC Shunt Motor given Torque using this online evaluator? To use this online evaluator for Machine Constant of DC Shunt Motor given Torque, enter Torque (τ), Magnetic Flux (Φ) & Armature Current (I_a) and hit the calculate button.

FAQs on Machine Constant of DC Shunt Motor given Torque

What is the formula to find Machine Constant of DC Shunt Motor given Torque?

The formula of Machine Constant of DC Shunt Motor given Torque is expressed as Machine Constant = Torque/(Magnetic Flux*Armature Current). Here is an example- 2.015173 = 0.85/(0.114*3.7).

How to calculate Machine Constant of DC Shunt Motor given Torque?

With Torque (τ), Magnetic Flux (Φ) & Armature Current (I_a) we can find Machine Constant of DC Shunt Motor given Torque using the formula - Machine Constant = Torque/(Magnetic Flux*Armature Current).

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