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Armature Torque given Electrical Efficiency of DC Motor Formula

GoArmature Torque given Mechanical Efficiency of DC Motor Formula

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Armature Torque is defined as the electric torque induced by the armature winding in a dc motor. Check FAQs

τ a = \frac{I a \cdot V s \cdot η e}{ω s}

τ_a - Armature Torque?I_a - Armature Current?V_s - Supply Voltage?η_e - Electrical Efficiency?ω_s - Angular Speed?

Armature Torque given Electrical Efficiency of DC Motor Example

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Here is how the Armature Torque given Electrical Efficiency of DC Motor equation looks like with Values.

Here is how the Armature Torque given Electrical Efficiency of DC Motor equation looks like with Units.

Here is how the Armature Torque given Electrical Efficiency of DC Motor equation looks like.

0.424 = \frac{0.724 \cdot 240 \cdot 0.8}{52.178}

0.424N*m = \frac{0.724A \cdot 240V \cdot 0.8}{52.178rev/s}

0.424 = \frac{0.724 \cdot 240 \cdot 0.8}{52.178}

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Armature Torque given Electrical Efficiency of DC Motor Solution

Follow our step by step solution on how to calculate Armature Torque given Electrical Efficiency of DC Motor?

FIRST Step Consider the formula

τ a = \frac{I a \cdot V s \cdot η e}{ω s}

Next Step Substitute values of Variables

∴

τ a = \frac{0.724A \cdot 240V \cdot 0.8}{52.178rev/s}

Next Step Convert Units

∴

τ a = \frac{0.724A \cdot 240V \cdot 0.8}{327.844rad/s}

Next Step Prepare to Evaluate

∴

τ a = \frac{0.724 \cdot 240 \cdot 0.8}{327.844}

Next Step Evaluate

∴

τ a = 0.424006484158932N*m

LAST Step Rounding Answer

∴

τ a = 0.424N*m

Armature Torque given Electrical Efficiency of DC Motor Formula Elements

Variables

Armature Torque

Armature Torque is defined as the electric torque induced by the armature winding in a dc motor.

Symbol: τ_a

Measurement: TorqueUnit: N*m

Note: Value can be positive or negative.

Formulas to find Armature Torque

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

Supply Voltage

Supply Voltage is the input voltage being fed to the dc motor circuit.

Symbol: V_s

Measurement: Electric PotentialUnit: V

Note: Value should be greater than 0.

Formulas to find Supply Voltage

Electrical Efficiency

Electrical Efficiency is define as useful power output divided by the total electrical power consumed (a fractional expression) for a given dc machine.

Symbol: η_e

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Electrical Efficiency

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 Armature Torque

Go Armature Torque given Mechanical Efficiency of DC Motor

τ a = η m \cdot τ

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 Armature Torque given Electrical Efficiency of DC Motor?

Armature Torque given Electrical Efficiency of DC Motor evaluator uses Armature Torque = (Armature Current*Supply Voltage*Electrical Efficiency)/Angular Speed to evaluate the Armature Torque, The Armature Torque given Electrical Efficiency of DC Motor formula is defined as the electric torque induced by the armature winding of the DC Motor. Armature Torque is denoted by τ_a symbol.

How to evaluate Armature Torque given Electrical Efficiency of DC Motor using this online evaluator? To use this online evaluator for Armature Torque given Electrical Efficiency of DC Motor, enter Armature Current (I_a), Supply Voltage (V_s), Electrical Efficiency (η_e) & Angular Speed (ω_s) and hit the calculate button.

FAQs on Armature Torque given Electrical Efficiency of DC Motor

What is the formula to find Armature Torque given Electrical Efficiency of DC Motor?

The formula of Armature Torque given Electrical Efficiency of DC Motor is expressed as Armature Torque = (Armature Current*Supply Voltage*Electrical Efficiency)/Angular Speed. Here is an example- 0.424004 = (0.724*240*0.8)/327.844042941322.

How to calculate Armature Torque given Electrical Efficiency of DC Motor?

With Armature Current (I_a), Supply Voltage (V_s), Electrical Efficiency (η_e) & Angular Speed (ω_s) we can find Armature Torque given Electrical Efficiency of DC Motor using the formula - Armature Torque = (Armature Current*Supply Voltage*Electrical Efficiency)/Angular Speed.

What are the other ways to Calculate Armature Torque?

Here are the different ways to Calculate Armature Torque-

Armature Torque=Mechanical Efficiency*Motor Torque

Can the Armature Torque given Electrical Efficiency of DC Motor be negative?

Yes, the Armature Torque given Electrical Efficiency of DC Motor, measured in Torque can be negative.

Which unit is used to measure Armature Torque given Electrical Efficiency of DC Motor?

Armature Torque given Electrical Efficiency of DC Motor 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 Armature Torque given Electrical Efficiency of DC Motor can be measured.

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Armature Torque given Electrical Efficiency of DC Motor Formula

​GoArmature Torque given Mechanical Efficiency of DC Motor Formula

Armature Torque given Electrical Efficiency of DC Motor Example

Armature Torque given Electrical Efficiency of DC Motor Solution

Armature Torque given Electrical Efficiency of DC Motor Formula Elements

Other Formulas to find Armature Torque

Other formulas in DC Motor Characteristics category

How to Evaluate Armature Torque given Electrical Efficiency of DC Motor?

FAQs on Armature Torque given Electrical Efficiency of DC Motor

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GoArmature Torque given Mechanical Efficiency of DC Motor Formula