Frictional Loss In A System

[Chemist]

Water at 60°F is pumped from a reservoir to the top of a mountain through a 6-in schedule 120 pipe at an average velocity of 12 ft/s. The pipe discharges into the atmosphere at a level of 3000 ft above the level in the reservoir. The pipeline itself is 4500 ft long. If the overall efficiency of the pump and the motor driving it is 70% and the cost of electric energy to the motor is 4 cents per kW-hr, what is the hourly cost for pumping this water?

[woofgang]

is this for a college course? Should you not be working it out for yourself? Also please and thank you don't come amiss.

[Chemist]

hi woofgang! YES, this is for a college course and I am in the middle of my review for my final exams... i DID answer the problem. I just as well posted the question here to verify my answer... you know, as part of my review. so please and thank you, don't judge me for my study habits. And if you know the answer to this, that would be a great help! I don't need the solution, just the correct answer to see if my answer confirms. :)

[New Judge]

Approximately fifty dollars per hour. (Calculation done on the back of an envelope).

[Chemist]

thanks New Judge! :)

[New Judge]

Just out of interest, what answer did you arrive at?

[seadogg]

In real life it doesn't quite work like that. The electricity needed to pump the water up is costed at cheap rate (at night) whereas the water runs down during the day when the price is much higher. Just for interest!

[Chemist]

thanks for the trivia, seadogg! i got around 36 dollars, new judge... I'm not really sure if that's correct, though