Weight of Water Imagine an inverted test tube with a column of water in it. The volume above the water is empty (no air). The piston underneath is free.

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Pressure Pressure is a force exerted over an area on the surface

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Presentation transcript:

Weight of Water Imagine an inverted test tube with a column of water in it. The volume above the water is empty (no air). The piston underneath is free to move up and down with no friction. If the water is not moving, what can you say about its weight? a way to think about air pressure… vacuum water piston Weight of the water pushes on the piston from above. Air pressure pushes from below. The force from the air pressure must exactly cancel the weight of the water! Q: How tall is the column of water that exactly balances atmospheric air pressure? A: ≈ 10 m Q: How tall is the column of water that exactly balances atmospheric air pressure? A: ≈ 10 m air

vacuum 10 m of water piston air Pressure is 1 atm. Pressure is 0 atm. Pressure is 0.5 atm. Remember: pressure doesn’t depend on the diameter of the tube. It only depends on the height of the column of water.

A siphon works because of a difference in pressure. Q: What if the siphon were 100 m high? A: Wouldn’t work. Can’t go above 10 m.

Equal Siphons Remember: pressure doesn’t depend on the diameter. It only depends on the height. These two siphons work the same way. They don’t depend on the weight of the water on each side. They just depend on the pressure, which pushes. Same difference in height leads to the same difference in pressure.

… unlike a string of beads More weight on this side Less weight on this side More weight on one side pulls the string of beads to that side. The wall can be as high as you like, as long as the string doesn’t break.