How to Convert $/Energy to $/Power

  • Thread starter saqibtq
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In summary: I'm here to help you save your sanity and finish the problem. In summary, the problem is that there is no direct way to convert energy to power. You need to specify a time period to get the correct value.
  • #1
saqibtq
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Homework Statement



Convert: $29/MW-h to $/W
That is, convert energy to power

Homework Equations



energy = power * time
power = energy / time

The Attempt at a Solution



$29/MW-hr x 1MW/1,000,000W = $2.9e-5/W-hr

However I feel that this is wrong, and it also still has hr in the solution.
I don't see how I can convert energy to power given the value also has dollars.
Any help would be appreciated.
(Also this is for a nuclear energy conversion problem)
 
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  • #2
Hello saqib, and welcome to PF.

This is a non-starter: If this really is the full rendering of your exercise, it is simply wrong.
There is no way you can change the dimension money/energy to money x time / energy if you have no time at hand.

Likewise income and wealth: converting someones income to someones wealth is not possible. If I earn $ 10 per hour, that says nothing about my bank balance. Only if I tell you that I've worked 40 hours a week for twenty weeks and brought all of that to the bank you can multiply $/h x h/wk x wk to get $.
 
  • #3
I'm slightly confused. You want to convert Dollars/Energy into Dollars/Power? Are you sure that's what the question stated?

Based on your calculations, it looks like you are doing everything right. I think the initial question is wrong.
 
  • #4
You cannot directly "convert energy to power" because, just as you say here, the don't measure the same thing! power= energy/time. To convert energy to power you will have to give a specific time interval. That will clear the "hr in the solution".
 
  • #5
This is why we ask that posters to the HW forums post the complete problem, even though they may have questions on one or two minor points. In the long run, it saves everyone time by not having to go round and round trying to figure out all the details, when they should have been provided initially, if only as a courtesy to those who are volunteering their time to help those seeking help.
 
  • #6
Well, there's three times no way for you!

If I tag along with the nuclear energy conversion problem remark: Could it be that you want to know how cheap solar power (in $/W) has to be to be able to compete with nuclear power plants that can produce energy at a cost of around $ 29/MWh ? Because then it becomes really interesting ! Even then: we still need to bring in something with the dimension of time, though: physics is tough, but it's physics.

[edit]Now even his majesty blows off some steam. HE's absolutely right of course (Always so with kings). Fortunately, I'm not here to save time... more of the opposite :smile:
 

FAQ: How to Convert $/Energy to $/Power

1. How do I convert dollars per energy to dollars per power?

Converting from dollars per energy to dollars per power is a simple calculation. First, determine the energy unit (e.g. kilowatt-hours) and the power unit (e.g. kilowatts) that you are working with. Then, divide the dollars per energy by the energy unit to get the dollars per unit of energy. Finally, divide the result by the power unit to get the dollars per unit of power.

2. What is the formula for converting dollars per energy to dollars per power?

The formula for converting dollars per energy to dollars per power is: ($/energy unit) / (energy unit) / (power unit) = $/power unit. For example, if you have $100 per kilowatt-hour and want to convert it to dollars per kilowatt, the calculation would be: ($100/kWh) / (kWh) / (kW) = $0.10/kW.

3. Can you provide an example of converting dollars per energy to dollars per power?

Sure! Let's say you have a cost of $50 per megajoule (MJ) and want to convert it to dollars per gigawatt (GW). First, we need to convert MJ to J by multiplying by 1,000,000 (since 1 MJ = 1,000,000 J). Then, we divide by the power unit conversion factor of 1,000,000,000 (since 1 GW = 1,000,000,000 W). The calculation would be: ($50/MJ) / (1,000,000 J) / (1,000,000,000 W) = $50/1,000,000,000 = $0.00000005/GW.

4. Is there a specific unit that should be used for energy and power when converting to dollars?

There is no specific unit that must be used for energy and power when converting to dollars. However, it is important to ensure that the energy and power units match in the calculation. For example, if you have dollars per megawatt-hour (MWh) and want to convert it to dollars per kilowatt (kW), you would need to convert the MWh to kilowatt-hours (kWh) before dividing by the power unit of kW.

5. How can I use the conversion from dollars per energy to dollars per power in my scientific research?

The conversion from dollars per energy to dollars per power can be used in various ways in scientific research. It can be used to compare the cost effectiveness of different energy sources, to analyze the financial impact of implementing a new technology, or to estimate the cost of energy production in a specific location. It is important to ensure that the energy and power units are consistent and accurate in order to make meaningful comparisons.

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