Calculating Power for Pumping Water to a Tower

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To calculate the power required to pump water to a tower 92.0m high at a flow rate of 75L/s, the formula P = mgh/t can be used, where m is the mass of water, g is the acceleration due to gravity, and h is the height. Since each liter of water has a mass of 1.00kg, the mass flow rate can be determined as 75kg/s. Substituting these values into the equation allows for the calculation of power. The discussion clarifies the derivation of the equation and confirms understanding of the concepts involved. Ultimately, the participant successfully solved the problem with assistance.
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Hi guys, I was doing some homework when I got stuck on this question I came upon. It goes as follows...

Water is being pumped up to a water tower, which is 92.0m high. The flow rate up to the top the tower is 75L/s and each litre of water has a mass of 1.00kg. what power is required to keep up this flow rate to the tower?

Ok, so I know the formula for power is P = W/t, so I changed W into F•d and now my equation is P = (F•d)/t. then I changed F into mg and got the equation P = (mg•d)/t.
Ok, now I am not sure if what I am doing is right but I don’t know where to go from here… they gave me velocity but I don’t know what to do with it. Like I subbed all my values in like the mass, gravity and distance but I don’t know what to do with the “75L/s and each litre is 1.00kg.”…. any help would be appreciated, thanks.

- Tu
 
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You have :
P = \frac {mgh}{t} = gh \cdot \frac {m}{t}

Does that help ?
 
ok... so... hmmm lol sorry i don't understand where that equation was derived from... h is height right?
 
Yes, h is the height. I just wrote what you had written and re-arranged the terms to bring out the factor (m/t). m/t is mass per unit time. Do you not know the value of this ?
 
sorry... yea... we never learned that b4.
 
Nx2 said:
sorry... yea... we never learned that b4.
I'm not sure what you mean by this. Do you now understand how to solve the problem, or don't you ?
 
ooo... ok i tried it and i got the answer!... thnx a lot i appreciate it. good help.

- Tu
 
yea i understand... thnx
 
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