Pressure and force in fluids; hydraulic lifts and equivalence of work on either side of lift.

Definition; incompressible fluids and dP/dy=-ρg. Pressure in paint cans filled with air and water.

Using dP/dy=-ρ pressure from liquid weight and proportionality to height, density; atmospheric pressure.

Measuring pressure using Pascal's principle; mercury and water barometers.

Cornelius von Drebbel's 5-m submarine; overpressure; compression of evacuated can.

Explanation of manometers; setup for being able to breathe underwater through snorkel tube.

Demonstration of maximum snorkeling depth; drinking from a 5-meter straw.

Pascal's law defined; Archimedes' principle defined (F_b = ρ*g*V); mass density and pressure defined; equation for pressure as a function of depth derived.

Forces involved in air pressure and buoyancy.

Calculating period of oscillation for vertical rod in water given displacement and pressure.

Solution (PDF)^#

4-part problem; weight before and after rock is lowered into a beaker of water and density of rock; weight after pinning sphere to bottom.

Solution (PDF)^#