Cost of 41kW Motor for 32 Weeks: $17,633.28

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The calculation for the cost of running a 41kW motor continuously for 32 weeks at $0.08 per kWh is confirmed to be correct, resulting in a total of $17,633.28. The breakdown shows that the units cancel appropriately, leaving only dollar units. Additionally, the discussion touches on similar calculations for power generation, confirming that a 1MW generator running continuously would produce 8,760,000 kWh per year. It is noted that specifying "per year" in such calculations can enhance clarity. Overall, the calculations and unit conversions are validated as accurate.
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Homework Statement



If I calculate that a motor needs 41kW continuously throughout a day to run, and it costs $0.08 per kWh to run, to calculate the cost of this for 32 weeks, I would do 41 x 24hours x 7days x 32weeks x $0.08 = $17633.28

is this a correct way of working it out?
 
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Onoff32 said:

Homework Statement



If I calculate that a motor needs 41kW continuously throughout a day to run, and it costs $0.08 per kWh to run, to calculate the cost of this for 32 weeks, I would do 41 x 24hours x 7days x 32weeks x $0.08 = $17633.28

is this a correct way of working it out?
Your number is are correct, but your units don't make any sense.

Here's what you should have, including the appropriate units.
##41 kW \times 24 \frac{\text{hours}}{\text{day}} \times 7 \frac{\text{days}}{\text{week}} \times 32 \text{weeks} \times .08 \frac{$}{\text{kWh}} = $17,633.28##.
The day units cancel, the week units cancel, and the kWh units cancel, so you're left with dollar units.
41 kW times 1 hour = 41 kWh, or 1 kW times 41 hours = 41 kWh, as well.
 
Would that work for generation as well? If a generator puts out 1MegaWatt then it would follow that
1MW x 24 hours/day x 365 days/year=8,760 MWh or 8,760,000 kWH? Thank you
 
CherryB said:
Would that work for generation as well? If a generator puts out 1MegaWatt then it would follow that
1MW x 24 hours/day x 365 days/year=8,760 MWh or 8,760,000 kWH? Thank you
That's what I get, so I'll say the answer is yes.
Though a nit-picky person might say you forgot the "per year": 8,760,000 kWH per year
 
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