Teaching Demonstration

  • #1
Explain why pressure increaseds beneath a vertical column of water and how to calculate water pressure ate the base of the column. Include the effect of varying heights and column diameters.

thanks

mike
 

Answers and Replies

  • #2
chroot
Staff Emeritus
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This sounds suspiciously like a homework assignment.

It also sounds suspiciously as though you haven't even attempted it -- the answer is simple and should be easy to find in any first-year physics textbook.

- Warren
 
  • #3
ShawnD
Science Advisor
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1
The pressure is based on the weight that must be supported at the given depth. The volume of a the cylinder is just area * height

[tex]v =ah[/tex]

Now you find the mass of the water which is just density * volume. I don't remember the symbol for density so I'll just use D.

[tex]m = vD[/tex]

[tex]m = ahD[/tex]

Now add gravity

[tex]F = ahDg[/tex]

Now find the pressure on the bottom of the cylinder by dividing by the area

[tex]P = hDg[/tex]

There you have it, the pressure at a given depth is height * density * gravity.
 
  • #4
chroot
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The normal symbol for mass density is [itex]\rho[/itex] :smile:

- Warren
 

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