# Buoyancy

## Buoyant Force

Archimedes' principle; buoyant force definition; density from displaced volume with example.

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• Watch {}video clip from Lecture 28 (0:00 - 8:58)

## Stability of Floating

Density condition for flotation; position of center of mass required for buoyant stability; avoiding capsization.

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• Watch {}video clip from Lecture 28 (8:58 - 16:36)

## Balloons

Condition for balloon to float; balloon in accelerating compartment with air.

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## Balloon in an Accelerating Compartment

In accelerating chamber, an apple is pulled opposite to motion, while balloon is pulled parallel to motion.

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• Watch {}video clip from Lecture 28 (23:58 - 28:28)

## Fluids

General properties of fluids; temperature defined; heat and temperature; pressure defined; pressure versus height; buoyancy forces; Bernoulli's equation.

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## Archimedes' Principle

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

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## Properties of Fluids

Forces involved in air pressure and buoyancy.

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## Changing Water Level

2 short qualitative problems asking about a rock thrown from a boat and melting ice.

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## Two Densities

Calculating density of wood and oil from percent submersion.

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## Oscillating Rod in Water

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

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## Buoyancy

Comparing the force needed to support an object in air and water.

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## Floating Cylinder

Buoyant force acting on a hollow cylinder containing a person.

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## Submerged Ball

3-part problem involving balls submerged in liquid; finding displaced mass, apparent weight of liquid container.

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