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Sink Our Ship. A STEM Unit by Kyle Berry 8 th Grade Mathematics. What is buoyancy?. Buoyancy is the ability of an object to float on a liquid or gas. How does buoyancy work?. Buoyancy depends on balancing forces. How does buoyancy work?. Buoyancy depends on balancing forces. Gravity.

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Sink our ship

Sink Our Ship

A STEM Unit by Kyle Berry

8th Grade Mathematics


What is buoyancy
What is buoyancy?

  • Buoyancy is the ability of an object to float on a liquid or gas.


How does buoyancy work
How does buoyancy work?

  • Buoyancy depends on balancing forces.


How does buoyancy work1
How does buoyancy work?

  • Buoyancy depends on balancing forces.

Gravity

Mass

Pressure


Famous dead guy archimedes
Famous Dead Guy…Archimedes

  • Archimedes (287-212 BC) was one of the greatest mathematicians of his time. He lived in the Greek colony of Syracuse, but studied in Alexandria, Egypt.

  • Source: AIMS Historical Connections in Mathematics, Vol. I


Famous dead guy so what
Famous Dead Guy…So What?

  • Archimedes was often called on by King Hieron to solve problems. Once, the king gave a goldsmith a certain amount of gold to make a sold-gold crown. Once the crown was finished the king was suspicious of the goldsmith, thinking that he had kept some of the gold for himself and replaced it with cheaper metals.

  • Source: AIMS Historical Connections in Mathematics, Vol. I


Famous dead guy so what1
Famous Dead Guy…So What?

  • The problem was brought to Archimedes. He decided to take a bath and consider the problem. As he sat in the bath he noticed that the weight of his body displaced the water in the bath. He suddenly realized the answer!

  • Source: AIMS Historical Connections in Mathematics, Vol. I


The greek streak
The Greek Streak…

  • Archimedes leapt from the bath, and ran down the street shouting “Eureka!” (I have found it!).

  • Source: AIMS Historical Connections in Mathematics, Vol. I


Density
Density!

  • A crown made of solid gold would have a certain weight and volume due to its density. A crown made of anything else would have either a different volume or weight due to having a different density. Archimedes was able to show that the goldsmith had stolen from the king…you can probably guess what happened to the goldsmith…

  • Source: AIMS Historical Connections in Mathematics, Vol. I

If you must know what happened, click here ->


Density1
Density!

  • Comparing densities can also help us understand how buoyancy works!


Density2
Density!

  • The average density (specific gravity) of water is one gram per cubic centimeter (1g/cm3)

1g/cm31g/cm3 1g/cm3 1g/cm3 1g/cm3 1g/cm3 1g/cm3 1g/cm3 1g/cm3 1g/cm3


Density3
Density!

  • If the average density of the boat is less than 1gm/cm3, the object will float.

d < 1gm/cm3

1g/cm31g/cm3 1g/cm3 1g/cm3 1g/cm3 1g/cm3 1g/cm3 1g/cm3 1g/cm3 1g/cm3


Density4
Density!

  • If the average density of the boat is greater than than 1gm/cm3, the object will sink.

1g/cm31g/cm3 1g/cm3 1g/cm3 1g/cm3 1g/cm3 1g/cm3 1g/cm3 1g/cm3 1g/cm3

d < 1gm/cm3


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