Explore connections in mathematics and nature with this article on buoyancy.
Grades:
9
+ show tags
Download

Buoyancy

Legend has it that while taking a bath one day, the Greek mathematician Archimedes made a tremendous discovery. As he lowered himself into the tub, he saw that the water level rose. After thinking about this for a moment, he leapt from his bath and ran down the street, shouting "Eureka!" ("I have found it!").What Archimedes saw has become known as the Archimedes Principle, or the Buoyancy Principle. This principle describes how an object immersed in a fluid will be buoyed up by a force equal to the weight of the volume of the fluid displaced.

The Archimedes Principle can help us to understand why some things float, while others don't. For example, if you fill up the bathtub and then drop a rock into it, the rock will sink. But if you drop a wooden stick into the water, the stick will float. Why is this? After all, the rock displaces water, and according to the Archimedes Principle, the water it displaces should help buoy it up!

The explanation for this comes from an understanding of density. The mass of the rock per unit of volume is larger than that of water, making the rock more dense than water. The rock, therefore, will sink. While the volume of water displaced by the rock does create a force of buoyancy, this force is not strong enough to compensate for the difference in densities to float the rock. In the case of the stick, a different outcome occurs. The stick is made of wood, which is less dense than water, so the stick will float. Even the small volume of water displaced by the stick creates enough buoyant force to keep it afloat.

Divers, swimmers, boaters, birds, fish, insects--all of these creatures are dependent on the Buoyancy Principle. What is true in water also works in the air. Why does a helium balloon rise? Because helium gas is less dense than air, it is buoyed up, just as a stick is buoyed up in water. The same idea works in hot air balloons. The hot air in the balloon is less dense than the air around it, so if you fill a balloon with hot air, it will rise. If you climb up on a chair and place your hand near the ceiling, you will notice that the air up there is warmer; it has floated to the ceiling because it is less dense than the cooler air close to the floor. What other examples of buoyancy and density can you think of?

Featured High School Resources

TEACHING RESOURCE

Writing Differentiation Strategies and Activities for High School

Close learning gaps this Fall with differentiated writing instruction This resource provides 5 strategies and 2 editabl...

Add to Folder
creative writing
children's book
activities
classroom tools
language arts and writing
vocabulary
Create new folderCREATE NEW FOLDER
Reading Differentiation Strategies and Activities for High School

TEACHING RESOURCE

Reading Differentiation Strategies and Activities for High School

Close learning gaps this Fall with differentiated reading instruction This resource provides 5 strategies and 3 editabl...

Add to Folder
creative writing
children's book
activities
classroom tools
language arts and writing
vocabulary
Create new folderCREATE NEW FOLDER
Math Differentiation and Remediation Strategies for High School

TEACHING RESOURCE

Math Differentiation and Remediation Strategies for High School

Close learning gaps with differentiated and remediated math instruction This resource provides 5 strategies for how to ...

Add to Folder
creative writing
children's book
activities
classroom tools
language arts and writing
vocabulary
Create new folderCREATE NEW FOLDER

Related Resources

TEACHING RESOURCE

Earthquakes

EarthquakesWe think of earthquakes as disasters, and rightly so when they occur in populated areas; but they are also a ...

Add to Folder
creative writing
children's book
activities
classroom tools
language arts and writing
vocabulary
Create new folderCREATE NEW FOLDER

REFERENCE

Weather Terms

Excerpt from: Hands-On Math Projects with Real-Life Applications .

Add to Folder
creative writing
children's book
activities
classroom tools
language arts and writing
vocabulary
Create new folderCREATE NEW FOLDER

REFERENCE

All About the Human Body

Anatomists are people who study the human body. Everyone is unique.

Add to Folder
creative writing
children's book
activities
classroom tools
language arts and writing
vocabulary
Create new folderCREATE NEW FOLDER

REFERENCE

Bacteria That Cause Food-borne Illness

What is a food-borne illness? Food-borne illness often shows itself as flu-like symptoms such as nausea, vomiting, diar...

Add to Folder
creative writing
children's book
activities
classroom tools
language arts and writing
vocabulary
Create new folderCREATE NEW FOLDER

REFERENCE

Astronomy Terms

The Milky Way, the galaxy containing our solar system, is about 100,000 light-years in diameter and about 10,00...

Add to Folder
creative writing
children's book
activities
classroom tools
language arts and writing
vocabulary
Create new folderCREATE NEW FOLDER

TEACHING RESOURCE

Math-Science Career Fair for Middle-School Girls

Can-Do Day Does It for Middle-School GirlsGirls of all shapes and sizes collect and walk toward Olney Hall at the Colleg...

Add to Folder
creative writing
children's book
activities
classroom tools
language arts and writing
vocabulary
Create new folderCREATE NEW FOLDER

About the author

TeacherVision Staff

TeacherVision Editorial Staff

The TeacherVision editorial team is comprised of teachers, experts, and content professionals dedicated to bringing you the most accurate and relevant information in the teaching space.

loading gif