Buoyancy

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Video Clips

Buoyant Force

RealVideo®
8:58 minutes (0:00 - 8:58)

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

Prior Knowledge: Pascal's Principle (beginning of V27)
Instructor: Prof. Walter Lewin

Stability of Floating Objects

RealVideo®
7:38 minutes (8:58 - 16:36)

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

Prior Knowledge: Bouyant Force (beginning of V28)
Instructor: Prof. Walter Lewin

Balloons

RealVideo®
7:22 minutes (16:36 - 23:58)

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

Prior Knowledge: Archimedes' Principle (beginning of V28)
Instructor: Prof. Walter Lewin

Balloon in an Accelerating Compartment

RealVideo®
4:30 minutes (23:58 - 28:28)

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

Prior Knowledge: Balloons (16:36 of V28)
Instructor: Prof. Walter Lewin

Lecture Notes

Fluids

PDF
Page 1 to page 2

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

Prior Knowledge: Work-Energy, Newton's Second Law
Instructor: Dr. George Stephans

Archimedes' Principle

PDF
Page 1 to page 22

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.

Prior Knowledge: Force of gravitation, differentiation, integration
Instructors: Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow

Practice Problems

Properties of Fluids

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Problem 1

Forces involved in air pressure and buoyancy.

Prior Knowledge: None
Instructor: Dr. George Stephans

Changing Water Level

PDF#
Problem 1i to problem 1j

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

Prior Knowledge: None
Instructor: Prof. Walter Lewin

Two Densities

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Problem 3

Calculating density of wood and oil from percent submersion.

Prior Knowledge: None
Instructor: Prof. Walter Lewin

Oscillating Rod in Water

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Problem 4

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

Prior Knowledge: None
Instructor: Prof. Walter Lewin

Exam Questions

Buoyancy

PDF
Problem 1b

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

Prior Knowledge: None
Instructor: Dr. George Stephans

Floating Cylinder

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Problem 2

Buoyant force acting on a hollow cylinder containing a person.

Prior Knowledge: None
Instructor: Dr. George Stephans