Overall Efficiency of DC Motor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Overall Efficiency = Mechanical Power/Input Power
ηo = Pm/Pin
This formula uses 3 Variables
Variables Used
Overall Efficiency - Overall Efficiency Electrical is defined as the combined efficiency of all the systems inside and electrical machine.
Mechanical Power - (Measured in Watt) - Mechanical Power is the product of a force on an object and the object's velocity or the product of torque on a shaft and the shaft's angular velocity.
Input Power - (Measured in Watt) - Input Power is defined as the total power supplied to the electrical dc motor from the source which is connected to it.
STEP 1: Convert Input(s) to Base Unit
Mechanical Power: 36 Watt --> 36 Watt No Conversion Required
Input Power: 78 Watt --> 78 Watt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ηo = Pm/Pin --> 36/78
Evaluating ... ...
ηo = 0.461538461538462
STEP 3: Convert Result to Output's Unit
0.461538461538462 --> No Conversion Required
FINAL ANSWER
0.461538461538462 0.461538 <-- Overall Efficiency
(Calculation completed in 00.004 seconds)

Credits

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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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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

Overall Efficiency of DC Motor Formula

Overall Efficiency = Mechanical Power/Input Power
ηo = Pm/Pin

What is the definition of efficiency?

Efficiency signifies a peak level of performance that uses the least amount of inputs to achieve the highest amount of output. Efficiency requires reducing the number of unnecessary resources used to produce a given output including personal time and energy.

How to Calculate Overall Efficiency of DC Motor?

Overall Efficiency of DC Motor calculator uses Overall Efficiency = Mechanical Power/Input Power to calculate the Overall Efficiency, The Overall Efficiency of DC Motor formula is defined as the ratio of the mechanical output to the electrical input. Overall efficiency looks at the entire system from the initial input to the final output. Overall Efficiency is denoted by ηo symbol.

How to calculate Overall Efficiency of DC Motor using this online calculator? To use this online calculator for Overall Efficiency of DC Motor, enter Mechanical Power (Pm) & Input Power (Pin) and hit the calculate button. Here is how the Overall Efficiency of DC Motor calculation can be explained with given input values -> 0.461538 = 36/78.

FAQ

What is Overall Efficiency of DC Motor?
The Overall Efficiency of DC Motor formula is defined as the ratio of the mechanical output to the electrical input. Overall efficiency looks at the entire system from the initial input to the final output and is represented as ηo = Pm/Pin or Overall Efficiency = Mechanical Power/Input Power. Mechanical Power is the product of a force on an object and the object's velocity or the product of torque on a shaft and the shaft's angular velocity & Input Power is defined as the total power supplied to the electrical dc motor from the source which is connected to it.
How to calculate Overall Efficiency of DC Motor?
The Overall Efficiency of DC Motor formula is defined as the ratio of the mechanical output to the electrical input. Overall efficiency looks at the entire system from the initial input to the final output is calculated using Overall Efficiency = Mechanical Power/Input Power. To calculate Overall Efficiency of DC Motor, you need Mechanical Power (Pm) & Input Power (Pin). With our tool, you need to enter the respective value for Mechanical Power & Input Power 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 Overall Efficiency?
In this formula, Overall Efficiency uses Mechanical Power & Input Power. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Overall Efficiency = (Input Power-(Armature Copper Loss+Field Copper Losses+Power Loss))/Input Power
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