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*From*: Brian Whatcott <betwys1@sbcglobal.net>*Date*: Tue, 8 Dec 2020 14:28:54 +0000 (UTC)

In a sentence: what is the work to raise the center of mass of a body from 9 meters down to surface level?

On Tuesday, December 8, 2020, 08:17:53 AM CST, Carl Mungan via Phys-l <phys-l@mail.phys-l.org> wrote:

You have it right except it should be [12-3] instead of [15-3].

-Carl

On Dec 8, 2020, at 8:59 AM, Peter Schoch <pschoch@fandm.edu> wrote:

I need some help in trying to understand why my "intuition" appears to have

misled me.

The problem my students bought me is:

A cylindrical tank is buried underground. It is 3m in radius and 12 m in

depth. It is half full of water, and the upper edge of the tank is at

ground level. What is the work required to pump the water out of the tank?

They had gotten this problem in Calculus class and wanted my help because

they thought it was more a Physics problem. The Calculus solution is:

W = integral from 0 to 6 { density*pi*3^2*g(12-y) dy}

which is 1.4978 x 10^7 if I didn't punch the wrong button on my calculator.

I thought this would be a simple potential energy problem. Move the CM of

the "block" of water from where it is to above the ground. So, I thought

it would be

[density*g*(pi*3^2*6)]*[15-3] = 1.995 10^7

What about my deltaPE assumption was wrong?

Peter Schoch

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Carl E. Mungan, Professor of Physics 410-293-6680 (O) -3729 (F)

Naval Academy Stop 9c, 572C Holloway Rd, Annapolis MD 21402-1363

mailto:mungan@usna.edu ; http://usna.edu/Users/physics/mungan/

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Forum for Physics Educators

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**References**:**[Phys-L] Fluids problem***From:*Peter Schoch <pschoch@fandm.edu>

**Re: [Phys-L] Fluids problem***From:*Carl Mungan <mungan@usna.edu>

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