Armature Torque given Mechanical Efficiency of DC Motor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Armature Torque = Mechanical Efficiency*Motor Torque
τa = ηm*τ
This formula uses 3 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.
Mechanical Efficiency - Mechanical Efficiency the ratio of the power delivered by a mechanical system to the power supplied to it.
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
Mechanical Efficiency: 0.6 --> 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
τa = ηm*τ --> 0.6*0.706
Evaluating ... ...
τa = 0.4236
STEP 3: Convert Result to Output's Unit
0.4236 Newton Meter --> No Conversion Required
FINAL ANSWER
0.4236 Newton Meter <-- Armature Torque
(Calculation completed in 00.004 seconds)

Credits

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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

Armature Torque given Mechanical Efficiency of DC Motor Formula

Armature Torque = Mechanical Efficiency*Motor Torque
τa = ηm*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 Armature Torque given Mechanical Efficiency of DC Motor?

Armature Torque given Mechanical Efficiency of DC Motor calculator uses Armature Torque = Mechanical Efficiency*Motor Torque to calculate the Armature Torque, The Armature Torque given Mechanical Efficiency of DC Motor formula is defined as the torque that is induced into the armature winding of the DC Motor. Armature Torque is denoted by τa symbol.

How to calculate Armature Torque given Mechanical Efficiency of DC Motor using this online calculator? To use this online calculator for Armature Torque given Mechanical Efficiency of DC Motor, enter Mechanical Efficiency m) & Motor Torque (τ) and hit the calculate button. Here is how the Armature Torque given Mechanical Efficiency of DC Motor calculation can be explained with given input values -> 0.702 = 0.6*0.706.

FAQ

What is Armature Torque given Mechanical Efficiency of DC Motor?
The Armature Torque given Mechanical Efficiency of DC Motor formula is defined as the torque that is induced into the armature winding of the DC Motor and is represented as τa = ηm or Armature Torque = Mechanical Efficiency*Motor Torque. Mechanical Efficiency the ratio of the power delivered by a mechanical system to the power supplied to it & 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 Armature Torque given Mechanical Efficiency of DC Motor?
The Armature Torque given Mechanical Efficiency of DC Motor formula is defined as the torque that is induced into the armature winding of the DC Motor is calculated using Armature Torque = Mechanical Efficiency*Motor Torque. To calculate Armature Torque given Mechanical Efficiency of DC Motor, you need Mechanical Efficiency m) & Motor Torque (τ). With our tool, you need to enter the respective value for Mechanical Efficiency & Motor Torque 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 Mechanical Efficiency & Motor Torque. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Armature Torque = (Armature Current*Supply Voltage*Electrical Efficiency)/Angular Speed
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