# Center of Gravity in a Horizontal Cylinder with Water

1. Nov 7, 2012

### chinocr3

1. The problem statement, all variables and given/known data
I need to find the center of gravity of a horizontal cylinder that has water in it, the level of water changes so I need to determine a relation between the diameter occupied by the water and the masses, those are my guesses.

I solved the problem where i have the standing cylinder where the C of G depends of the height of the water.

I added an attachment where you can see the formulas i used.

2. Relevant equations

How can I make a similar relation with the horizontal cylinder?

3. The attempt at a solution

Maybe using D as the variable instead of h?

m0 = ( (D2∏h)/4 )* ρ

where D2 = variable

and ∏h/4 = constant?

sorry if the answer is obvious, I'm really bad at physics \$:
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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2. Nov 7, 2012

### SteamKing

Staff Emeritus
If the cylinder is on its side, try setting up the problem from scratch. I don't think trying to manipulate calculations for a vertical cylinder will be very easy.

3. Nov 7, 2012

### CWatters

The horizontal position is obvious so that leaves the vertical position...

You just need to find the center of area of the area under a chord of a circle.