Mechanical Efficiency of DC Motor Calculator

✖Armature Torque is defined as the electric torque induced by the armature winding in a dc motor.ⓘ Armature Torque [τ_a]			+10% -10%
✖Motor Torque is defined as a measure of the force that causes the rotor of an electrical machine to rotate about an axis.ⓘ Motor Torque [τ]			+10% -10%

✖Mechanical Efficiency the ratio of the power delivered by a mechanical system to the power supplied to it.ⓘ Mechanical Efficiency of DC Motor [η_m]

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Mechanical Efficiency of DC Motor

Formula

`"η"_{"m"} = "τ"_{"a"}/"τ"`

Example

`"0.600567"="0.424N*m"/"0.706N*m"`

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Mechanical Efficiency of DC Motor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mechanical Efficiency = Armature Torque/Motor Torque
η_m = τ_a/τ
This formula uses 3 Variables

Variables Used

Mechanical Efficiency - Mechanical Efficiency the ratio of the power delivered by a mechanical system to the power supplied to it.
Armature Torque - (Measured in Newton Meter) - Armature Torque is defined as the electric torque induced by the armature winding in a dc motor.
Motor Torque - (Measured in Newton Meter) - Motor Torque is defined as a measure of the force that causes the rotor of an electrical machine to rotate about an axis.

STEP 1: Convert Input(s) to Base Unit

Armature Torque: 0.424 Newton Meter --> 0.424 Newton Meter No Conversion Required
Motor Torque: 0.706 Newton Meter --> 0.706 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η_m = τ_a/τ --> 0.424/0.706

Evaluating ... ...

η_m = 0.60056657223796

STEP 3: Convert Result to Output's Unit

0.60056657223796 --> No Conversion Required

FINAL ANSWER

0.60056657223796 ≈ 0.600567 <-- Mechanical Efficiency

(Calculation completed in 00.004 seconds)

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< 25 DC Motor Characteristics Calculators

Supply Voltage given Overall Efficiency of DC Motor

Go Supply Voltage = ((Electric Current-Shunt Field Current)^2*Armature Resistance+Mechanical Losses+Core Losses)/(Electric Current*(1-Overall Efficiency))

Machine Construction Constant of DC Motor

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

Motor Speed of DC Motor given Flux

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

Magnetic Flux of DC Motor

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

Back EMF Equation of DC Motor

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

Motor Speed of DC Motor

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

Overall Efficiency of DC Motor given Input Power

Go Overall Efficiency = (Input Power-(Armature Copper Loss+Field Copper Losses+Power Loss))/Input Power

Armature Current of DC Motor

Go Armature Current = Armature Voltage/(Constant of Machine Construction*Magnetic Flux*Angular Speed)

Armature Current given Electrical Efficiency of DC Motor

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

Supply Voltage given Electrical Efficiency of DC Motor

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

Electrical Efficiency of DC Motor

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

Armature Torque given Electrical Efficiency of DC Motor

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

Angular Speed given Electrical Efficiency of DC Motor

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

Mechanical Power Developed in DC Motor given Input Power

Go Mechanical Power = Input Power-(Armature Current^2*Armature Resistance)

Total Power Loss given Overall Efficiency of DC Motor

Go Power Loss = Input Power-Overall Efficiency*Input Power

Armature Torque given Mechanical Efficiency of DC Motor

Go Armature Torque = Mechanical Efficiency*Motor Torque

Motor Torque given Mechanical Efficiency of DC Motor

Go Motor Torque = Armature Torque/Mechanical Efficiency

Mechanical Efficiency of DC Motor

Go Mechanical Efficiency = Armature Torque/Motor Torque

Converted Power given Electrical Efficiency of DC Motor

Go Converted Power = Electrical Efficiency*Input Power

Input Power given Electrical Efficiency of DC Motor

Go Input Power = Converted Power/Electrical Efficiency

Overall Efficiency of DC Motor

Go Overall Efficiency = Mechanical Power/Input Power

Output Power given Overall Efficiency of DC Motor

Go Output Power = Input Power*Overall Efficiency

Core Loss given Mechanical Loss of DC Motor

Go Core Losses = Constant Loss-Mechanical Losses

Constant Losses given Mechanical Loss

Go Constant Loss = Core Losses+Mechanical Losses

DC Motor Frequency given Speed

Go Frequency = (Number of Poles*Motor Speed)/120

Mechanical Efficiency of DC Motor Formula

Mechanical Efficiency = Armature Torque/Motor Torque
η_m = τ_a/τ

What is mechanical efficiency?

The efficiency of a machine is equal to the ratio of its output (resistance multiplied by the distance it is moved) to its input (effort multiplied by the distance through which it is exerted); it is also equal to the ratio of the AMA to the IMA. This does not mean that low-efficiency machines are of limited use.

How to Calculate Mechanical Efficiency of DC Motor?

Mechanical Efficiency of DC Motor calculator uses Mechanical Efficiency = Armature Torque/Motor Torque to calculate the Mechanical Efficiency, The Mechanical Efficiency of DC Motor formula is defined as the ratio of the power delivered by a mechanical system to the power supplied to it. Mechanical Efficiency is denoted by η_m symbol.

How to calculate Mechanical Efficiency of DC Motor using this online calculator? To use this online calculator for Mechanical Efficiency of DC Motor, enter Armature Torque (τ_a) & Motor Torque (τ) and hit the calculate button. Here is how the Mechanical Efficiency of DC Motor calculation can be explained with given input values -> 0.362393 = 0.424/0.706.

FAQ

What is Mechanical Efficiency of DC Motor?

The Mechanical Efficiency of DC Motor formula is defined as the ratio of the power delivered by a mechanical system to the power supplied to it and is represented as η_m = τ_a/τ or Mechanical Efficiency = Armature Torque/Motor Torque. Armature Torque is defined as the electric torque induced by the armature winding in a dc motor & Motor Torque is defined as a measure of the force that causes the rotor of an electrical machine to rotate about an axis.

How to calculate Mechanical Efficiency of DC Motor?

The Mechanical Efficiency of DC Motor formula is defined as the ratio of the power delivered by a mechanical system to the power supplied to it is calculated using Mechanical Efficiency = Armature Torque/Motor Torque. To calculate Mechanical Efficiency of DC Motor, you need Armature Torque (τ_a) & Motor Torque (τ). With our tool, you need to enter the respective value for Armature Torque & Motor Torque and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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