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Motor Torque of Series DC Motor given Machine Constant Formula

GoMotor Torque given Mechanical Efficiency of DC Motor Formula

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

τ = K f \cdot Φ \cdot {I a}^{2}

τ - Motor Torque?K_f - Constant of Machine Construction?Φ - Magnetic Flux?I_a - Armature Current?

Motor Torque of Series DC Motor given Machine Constant Example

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

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

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

0.7062 = 1.135 \cdot 1.187 \cdot {0.724}^{2}

0.7062N*m = 1.135 \cdot 1.187Wb \cdot {0.724A}^{2}

0.7062 = 1.135 \cdot 1.187 \cdot {0.724}^{2}

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Motor Torque of Series DC Motor given Machine Constant Solution

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

FIRST Step Consider the formula

τ = K f \cdot Φ \cdot {I a}^{2}

Next Step Substitute values of Variables

∴

τ = 1.135 \cdot 1.187Wb \cdot {0.724A}^{2}

Next Step Prepare to Evaluate

∴

τ = 1.135 \cdot 1.187 \cdot {0.724}^{2}

Next Step Evaluate

∴

τ = 0.70619349512N*m

LAST Step Rounding Answer

∴

τ = 0.7062N*m

Motor Torque of Series DC Motor given Machine Constant Formula Elements

Variables

Motor Torque

Motor 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 Motor Torque

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

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 to find Motor Torque

Go Motor Torque given Mechanical Efficiency of DC Motor

τ = \frac{τ a}{η m}

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 Torque of Series DC Motor given Machine Constant?

Motor Torque of Series DC Motor given Machine Constant evaluator uses Motor Torque = Constant of Machine Construction*Magnetic Flux*Armature Current^2 to evaluate the Motor Torque, The Motor Torque of Series DC Motor given Machine Constant formula is defined as the measurement that determines the amount of torque a rotating part requires to remain rotating at a constant angular velocity once it begins spinning. Motor Torque is denoted by τ symbol.

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

FAQs on Motor Torque of Series DC Motor given Machine Constant

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

The formula of Motor Torque of Series DC Motor given Machine Constant is expressed as Motor Torque = Constant of Machine Construction*Magnetic Flux*Armature Current^2. Here is an example- 0.706193 = 1.135*1.187*0.724^2.

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

With Constant of Machine Construction (K_f), Magnetic Flux (Φ) & Armature Current (I_a) we can find Motor Torque of Series DC Motor given Machine Constant using the formula - Motor Torque = Constant of Machine Construction*Magnetic Flux*Armature Current^2.

What are the other ways to Calculate Motor Torque?

Here are the different ways to Calculate Motor Torque-

Motor Torque=Armature Torque/Mechanical Efficiency

Can the Motor Torque of Series DC Motor given Machine Constant be negative?

No, the Motor Torque of Series DC Motor given Machine Constant, measured in Torque cannot be negative.

Which unit is used to measure Motor Torque of Series DC Motor given Machine Constant?

Motor Torque of Series DC Motor given Machine Constant is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Motor Torque of Series DC Motor given Machine Constant can be measured.

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