How much work is done in an hour?

  • Thread starter kriegera
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In summary, a man pumping water at a rate of 20 liters per minute to a height of 10 meters will do 32.67 joules of work per second. If this is done for an hour, the total work done would be 117,612 joules. This calculation does not take into account friction.
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kriegera
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Homework Statement


A man pumps water at a rate of 20 liters per minute to a height of 10 meters. How much work does he do in an hour? Friction is to be neglected. A liter of water is taken to weigh 1 kilogram.



Homework Equations





The Attempt at a Solution


If 1 liter=1 Kilogram then 20 liters = 20 kg
Work is a kind of energy conversion. The work done per unit of time is
P= ΔE/ ΔT = (20)(9.8)(10)/(60minutes) = 32.67J/minute

Is this correct? I'm unsure about the conversions?
 
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  • #2
Your answer for the power is correct, but you should divide by 60 seconds, not 60 minutes, and the answer would then be in J/s, or W You need to multiply that with the number of seconds in an hour to get the answer to the question.
 
  • #3
So the correct answer would be:
P = ΔE/ ΔT = (20)(9.8)(10)/(60seconds) = 32.67J/seconds
 

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