Why Do Ships Float? | Let's Talk Science

Have you ever seen one of those giant cruise ships? Or a cargo ship piled high with containers? Or perhaps even an aircraft carrier covered with jet planes? How are these huge ships able to float on water? Water is much less dense than the steel these ships are made of. So why aren’t these ships sinking to the bottom of the harbour?

cruiseship, cargo ship and aircraft carrier
Top to bottom: The cruise ship Sun Princess, the container ship Atlantic Compass, and the aircraft carrier USS George Washington (Sources: Sun Princess and Atlantic Compass photos by Scott Taylor, used with permission, and USS George Washington U.S. Navy photo by Photographer’s Mate 3rd Class Heather Hess).

What is buoyancy?

We can thank Archimedes for being the first to explain the principle behind this puzzle. Archimedes was a Greek scientist who was born in 287 BCE. This principle is known as buoyancy orArchimedes’ Principle.

Archimedes’ Principle states that the force exerted on an object in a fluid is equal to the weight of fluid displaced (moved out of the way) by the object. This force is called buoyant force. The buoyant force pushes upwards against the object. Gravity exerts a downward force on the object (its weight), which is determined by the object’s mass. So if the force exerted downward on the object by gravity is less than the buoyant force, the object will float.

What is the Archimedes’ Principle? (2017) by Don’t Memorize (2:52 min.).

Did you know?

Archimedes is thought to have run naked through the streets shouting “Eureka!” (“I have it!” in Greek) after realizing that the volume of water displaced from his bath was equal to the volume of his body.

How does buoyancy relate to density?

If a solid block of wood measuring one cubic centimetre (1 cm x 1 cm x 1 cm) is placed in a container of water, it will float partly submerged in the water. This is because the downward force of gravity on the mass of the wood is less then the upward force of buoyancy from the mass of the water. The buoyant force on an object equals the weight of the fluid it displaces.

But what about a block of the same volume made of lead? Lead is more dense than wood. If a lead block is placed in a container of water, it will sink to the bottom and be fully submerged in the water. This is because the downward force of gravity on the mass of the lead block is more than the upward force of buoyancy from the mass of the water. Even though the lead block displaces more water than the wood block, it is not enough to counteract the force of gravity.

Comparison of the weights of one cubic centimetre of air, water, wood and lead
Comparison of the weights of one cubic centimetre of air (0.0012 g), wood (0.7 g), fresh water (1 g) and lead (11.34 g) (© 2019 using data from wikipedia and an image by nclm [CC BY-SA 4.0] via Wikimedia Commons ).

How do buoyancy and density apply to ships?

How can this principle be applied to ships? Ships are enormous steel vessels. A ship can have a mass of hundreds of thousands of tonnes. Steel is much denser than water, so you would think that massive steel ships would sink, right? Well, think again! What helps keep ships afloat is their shape and what is inside them. Ships are not solid pieces of steel. Instead, they are mostly hollowed-out shells of steel. There are all sorts of components inside the ship. For example the ship’s engine, fuel, and cargo may be inside. But most importantly, there is air inside a ship!

Full and empty cargo ship
A full cargo ship on the left and an empty cargo ship on the right. Notice how the empty ship sits higher in the water (Let’s Talk Science using an image by Youst via iStockphoto).

Did you know?

The heaviest ship in the world is the Pioneering Spirit. It displaces about 900 000 metric tons of water. That’s equivalent to about 300 000 elephants!

The air that is inside a ship is much less dense than water. That’s what keeps it floating! The average density of the total volume of the ship and everything inside of it (including the air) must be less than the same volume of water. As a ship is set in water, it pushes down and displaces an amount of water equal to its weight. The closer the total density of the ship is to the density of the same volume of water, the greater the amount of the ship that will be in the water. If the average density of the ship is ever greater than the density of water, then the ship will sink beneath the surface of the water.

The ocean liner Titanic sinking
Ocean liner Titanic sinking on April 15, 1912 (Public domain image by Wili Stöwer via Wikimeda Commons).

When a ship sinks, it is because water enters the ship. This forces out the air, making the average density of the ship greater than that of the water. One of the most famous disasters is the sinking of the RMS Titanic. The ship struck an iceberg off the south coast of Newfoundland in April of 1912. The iceberg tore open several small holes in the hull of the ship, letting water into the bow. As more water entered the ship, the air was forced out. This caused the ship to sink to the bottom of the ocean.

Just like every other ship that ever sank, the Titanic ultimately went to the bottom of the ocean because of (a lack of) buoyancy!

Did you know?

After striking the iceberg, the Titanic sank in 160 minutes. That’s only 2 hours and 40 minutes!

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