Calculating Efficiency of a DC Motor: How Do I Determine In and Out Values?

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To calculate the efficiency of a DC motor, the correct formulas for Power In and Power Out must be established. Power In should be derived from voltage and current, while Power Out can be calculated using torque and RPM. The initial equations provided are incorrect as they confuse power with energy, which are measured in different units. It’s crucial to ensure that the units for torque and RPM align to yield the correct output power in watts. Understanding these distinctions is essential for accurately determining motor efficiency.
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Hi I am trying to calculate the efficiency of my DC motor. I know that efficiency is:

Power Out / Power In * 100

I have been told by my teacher that Power In is calculated by the following formula,

Power In = Power * Time

And Power Out is;

Power Out = Mass * Gravity * Height.

I think that there is an error here in what he has given us. First of all I believe that we need to calculate work in and work out for efficiency. To do so we would need torque and RPM calculations for Work Out? And I'm not sure about Work In. Also I believe these equations he has given us have contradictory units and hence are incorrect.

Could anyone tell me how I would calculate efficiency and what equations would I need for In and Out values. And if it was torque and RPM what equation would I use, using these two to calculate the Out value.

Thanks,
 
Last edited:
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Power In = Power * Time

Well, that doesn't seem right , does it.

With SI units,
Power is measured in watts, which is J/s ( Joules/second ).
Joules is a unit of energy.
Power = Energy / Time
Power Out = Mass * Gravity * Height.
That also is to annoying.

The terms multiplied on the right hand side look amazingly the same as gravitational potential energy, which is measured in joules.In both cases, your notes incorrectly equate power to energy.

Work, by the way, in a measurement of energy.

Perhaps your equations in your notes should be:
( Can you figure out what the correct equations should be )
Hint:
For the input power you have to change one of the terms to something else.
For power out you have to decide by another variable.

Also, for electrical circuits, if you measure the volts and the amperage going into the motor, what do you get? energy in or power in?
 
So... would it be

Power In = PE/T = mgh/t ?

and

Power Out = torque x RPM ?

?

(The original equation is what my teacher gave me) haha
 
Last edited:
need to know asap
 
Power In = PE/T = mgh/t

Does a falling mass run your motor?
You might mean Power Out.

What about volts and amps input into you motor for Power In?

Power Out = torque x RPM
That is generally correct.
You just have to be sure your units for torque and RPM are a matchup so that they multiply correctly to give watts or horsepower for the Power Out. You might need a conversion factor.

By the way, if this is homework, which it appears to be, there is a Homework Section which is great for exercise questions.
 
no this is for an experimental report.
anyway thank you very much for the help
 
For simple comparison, I think the same thought process can be followed as a block slides down a hill, - for block down hill, simple starting PE of mgh to final max KE 0.5mv^2 - comparing PE1 to max KE2 would result in finding the work friction did through the process. efficiency is just 100*KE2/PE1. If a mousetrap car travels along a flat surface, a starting PE of 0.5 k th^2 can be measured and maximum velocity of the car can also be measured. If energy efficiency is defined by...

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