Armature Torque given Electrical Efficiency of DC Motor Calculator

✖Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor.ⓘ Armature Current [I_a]			+10% -10%
✖Supply Voltage is the input voltage being fed to the dc motor circuit.ⓘ Supply Voltage [V_s]			+10% -10%
✖Electrical Efficiency is define as useful power output divided by the total electrical power consumed (a fractional expression) for a given dc machine.ⓘ Electrical Efficiency [η_e]			+10% -10%
✖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.ⓘ Angular Speed [ω_s]			+10% -10%

✖Armature Torque is defined as the electric torque induced by the armature winding in a dc motor.ⓘ Armature Torque given Electrical Efficiency of DC Motor [τ_a]

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Armature Torque given Electrical Efficiency of DC Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Armature Torque = (Armature Current*Supply Voltage*Electrical Efficiency)/Angular Speed
τ_a = (I_a*V_s*η_e)/ω_s
This formula uses 5 Variables

Variables Used

Armature Torque - (Measured in Newton Meter) - Armature Torque is defined as the electric torque induced by the armature winding in a dc motor.
Armature Current - (Measured in Ampere) - Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor.
Supply Voltage - (Measured in Volt) - Supply Voltage is the input voltage being fed to the dc motor circuit.
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.
Angular Speed - (Measured in Radian per Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Armature Current: 0.724 Ampere --> 0.724 Ampere No Conversion Required
Supply Voltage: 240 Volt --> 240 Volt No Conversion Required
Electrical Efficiency: 0.8 --> No Conversion Required
Angular Speed: 52.178 Revolution per Second --> 327.844042941322 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_a = (I_a*V_s*η_e)/ω_s --> (0.724*240*0.8)/327.844042941322

Evaluating ... ...

τ_a = 0.424006484158932

STEP 3: Convert Result to Output's Unit

0.424006484158932 Newton Meter --> No Conversion Required

FINAL ANSWER

0.424006484158932 ≈ 0.424006 Newton Meter <-- Armature Torque

(Calculation completed in 00.004 seconds)

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< DC Motor Characteristics Calculators

Machine Construction Constant of DC Motor

LaTeX Go Constant of Machine Construction = (Supply Voltage-Armature Current*Armature Resistance)/(Magnetic Flux*Motor Speed)

Back EMF Equation of DC Motor

LaTeX Go Back EMF = (Number of Poles*Magnetic Flux*Number of Conductors*Motor Speed)/(60*Number of Parallel Paths)

Armature Current given Electrical Efficiency of DC Motor

LaTeX Go Armature Current = (Angular Speed*Armature Torque)/(Supply Voltage*Electrical Efficiency)

Supply Voltage given Electrical Efficiency of DC Motor

LaTeX Go Supply Voltage = (Angular Speed*Armature Torque)/(Armature Current*Electrical Efficiency)

Armature Torque given Electrical Efficiency of DC Motor Formula

LaTeX Go

Armature Torque = (Armature Current*Supply Voltage*Electrical Efficiency)/Angular Speed
τ_a = (I_a*V_s*η_e)/ω_s

What is electrical energy efficiency?

Electrical energy efficiency is understood as the reduction in power and energy demands from the electrical system without affecting the normal activities carried out in buildings, industrial plants, or any other transformation process. Additionally, an energy-efficient electrical installation allows the economical and technical optimization. That is the reduction of technical and economical costs of operation.

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

Armature Torque given Electrical Efficiency of DC Motor calculator uses Armature Torque = (Armature Current*Supply Voltage*Electrical Efficiency)/Angular Speed to calculate 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 calculate Armature Torque given Electrical Efficiency of DC Motor using this online calculator? To use this online calculator 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. Here is how the Armature Torque given Electrical Efficiency of DC Motor calculation can be explained with given input values -> 0.424004 = (0.724*240*0.8)/327.844042941322.

FAQ

What is Armature Torque given Electrical Efficiency of DC Motor?

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 and is represented as τ_a = (I_a*V_s*η_e)/ω_s or Armature Torque = (Armature Current*Supply Voltage*Electrical Efficiency)/Angular Speed. Armature Current DC motor is defined as the armature current developed in an electrical dc motor due to the rotation of rotor, Supply Voltage is the input voltage being fed to the dc motor circuit, Electrical Efficiency is define as useful power output divided by the total electrical power consumed (a fractional expression) for a given dc machine & 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.

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

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 is calculated using Armature Torque = (Armature Current*Supply Voltage*Electrical Efficiency)/Angular Speed. To calculate Armature Torque given Electrical Efficiency of DC Motor, you need Armature Current (I_a), Supply Voltage (V_s), Electrical Efficiency (η_e) & Angular Speed (ω_s). With our tool, you need to enter the respective value for Armature Current, Supply Voltage, Electrical Efficiency & Angular Speed and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Armature Torque?

In this formula, Armature Torque uses Armature Current, Supply Voltage, Electrical Efficiency & Angular Speed. We can use 1 other way(s) to calculate the same, which is/are as follows -

Armature Torque = Mechanical Efficiency*Motor Torque

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