Three containers sit on a table — one wide cylinder, one narrow tube, and one funnel-shaped flask. All are filled with water to exactly the same height.
Which container has the highest pressure at the bottom?
They all have exactly the same pressure! It doesn't matter if there's a bathtub or a straw's worth of water above you — only the HEIGHT of the water column determines the pressure at the bottom. This is the hydrostatic paradox, and it stunned scientists for centuries.
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Watch the pressure gauges at the bottom of each container. Drag the water level up and down — the gauges always match, no matter the container shape!
P = P₀ + ρgh
Pressure increases linearly with depth. Double the depth, double the gauge pressure. Shape doesn't matter — only height.
Every 10m of depth adds 1 atmosphere of pressure — that's why your ears pop when you dive.
Dams are thick at the bottom and thin at the top because pressure increases with depth.
Pressing the brake pedal multiplies your force through hydraulic fluid using Pascal's principle.
A small push on the plunger creates high pressure that pushes fluid through the tiny needle.
“Pressure doesn't care about shape — only depth. That's hydrostatics.”
Hydraulic Press
Pascal's principle says pressure applied anywhere in a confined fluid transmits equally in all directions. A tiny force on a small piston creates an enormous force on a large piston. Try lifting a car with one finger!
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Push down on the small piston and watch the large piston rise. Try increasing the area ratio — the force multiplication goes up! At 50:1, your 10N push becomes 500N of lifting force.
You can't cheat energy — the small piston moves a long way down while the big piston barely moves up. But the FORCE multiplication is real. This is how every car jack, hydraulic lift, and brake system works.