|October 25th, 2011, 09:04 PM||#1|
Joined: Sep 2011
From: New York, NY
Work to pump out a tank
The hemispherical tank shown is full of water. Given that water weighs , find the work required to pump the water out of the tank.
The volume of a sample cross section is
The mass of the cross section is
The force need to lift this section is
The work needed to lift this section is
The do not give limits so I am assuming [a b]
Integrating we have
I don't know if this is correct?
|October 26th, 2011, 11:49 AM||#2|
Joined: May 2011
Re: Work to pump out a tank
For a circle of radius 5 with center (0,5), we have
The force increment can be written as:
The disc y feet from the bottom must be moved a distance of 5-y feet.
So, we have
Another way to set it up:
Both give the same result.
|pump, tank, work|
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