Calculating Electrical Energy Input for 70% Efficient Lift Motor

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Homework Help Overview

The discussion revolves around calculating the electrical energy input required for a lift motor that operates at 70% efficiency while performing 450,000 joules of work to lift a load. Participants are exploring the relationship between efficiency and energy input in the context of this problem.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss different methods of calculating the required electrical energy input, with some attempting to rearrange formulas and others questioning the interpretation of efficiency in relation to the work done.

Discussion Status

The discussion is active, with various participants providing insights and clarifications on the calculations involved. Some guidance has been offered regarding the correct approach to rearranging the equation to find the unknown energy input.

Contextual Notes

Participants are addressing the implications of the motor's efficiency on the total energy input required, and there is an acknowledgment of the difference in energy requirements between 70% and 100% efficiency. The original poster expresses gratitude for the assistance received.

Taylor_1989
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Homework Statement


A lift motor is 70% efficient. It dose 450 000j of work lifting a load to the top floor of a building.



Homework Equations


What electrical energy input is required to do this?


The Attempt at a Solution



I first did output/input * 100 I transposed the formulae

so I did 450 000* 0.7

which gave the wrong answer. When I looked at the answer is say this is the correct way is 450 000 * 100/70

Am I right in saying that when you do it this you are calculating what it is at 100% efficiency and then calculating the difference?
 
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70% of the energy input is 450000J, so 1% is 450000/70 = 6429J
So 100% of the input energy is 100 x 6429 = 642900J
You had it 'upside down'...do you see
 
Last edited:
Write it out as an equation. Of the total electrical energy consumed, 70% of it went into lifting the weight.

E * 70% = 450,000 J

Where E is the unknown energy input.

How do you solve for E?
 
E = ?
just rearrange your equation...you have it !
 
Realize that if it is only 70% efficiency, more work is actually required than if it was 100% efficient.
 
Just to say thanks for everyone clearing it up for me big help.
 

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