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Archimedes was possibly the world's greatest scientist — at least the greatest in the classical age. He was a physicist, mathematician, astronomer, inventor and engineer. Many of his inventions, theories and concepts are still in use today. Perhaps his best-known achievement was his "Eureka" moment, when he discovered the principle of buoyancy.

Archimedes lived in Syracuse on the island of Sicily in the third century B.C. At that time, Syracuse was one of the most influential cities of the ancient world, according to Scientific American. Trading vessels from Egypt, Greece and Phoenicia filled the city-state's harbor. It was also a hub of commerce, art and science, according to the Archimedes Palimpsest.

After studying geometry and astronomy in Alexandria, the "greatest intellectual center in the ancient world," according to Scientific American, Archimedes settled down in Syracuse to pursue a life of thought and invention.

One of his inventions was the Archimedes screw. This device uses a corkscrew with a hollow tube. When the screw turns, water is pulled up the tube. It was originally used to empty sea water from a ship's hull. It is still used today as a method of irrigation in developing countries, according to the Archimedes Palimpsest.

Archimedes famously said, "Give me a lever and a place to stand, and I'll move the world." This boastful claim expresses the power of leverage, which, at least figuratively, moves the world. Archimedes realized that in order to accomplish the same amount or work, one could make a trade-off between force and distance using a lever. His Law of the Lever states, "Magnitudes are in equilibrium at distances reciprocally proportional to their weights," according to "Archimedes in the 21st Century," a virtual book by Chris Rorres at New York University.

Archimedes also devised defenses for Syracuse against invading armies. He strengthened the walls of Syracuse and constructed war machines. His works held off the Romans for two years. However, in 212 B.C., forces under General Marcellus overtook the city.

Marcellus had respect for Archimedes and sent soldiers to get him so he could meet the famous mathematician. According to the Archimedes Palimpsest, he was so focused on solving a mathematical problem that he did not know the Romans had stormed the city. When a soldier told him to accompany him to see the general, Archimedes told him to go away. The enraged soldier struck him down. Marcellus ordered that Archimedes be buried with honors. Archimedes' tombstone was engraved with the image of a sphere within a cylinder, illustrating one of his geometrical treatises.

Archimedes has gone down in history as the guy who ran naked through the streets of Syracuse shouting "Eureka!" — or "I have it!" in Greek. The story behind that event was that Archimedes was charged with proving that a new crown made for Hieron, the king of Syracuse, was not pure gold as the goldsmith had claimed. The story was first written down in the first century B.C. by Vitruvius, a Roman architect.

Archimedes thought long and hard but could not find a method for proving that the crown was not solid gold. Soon after, he filled a bathtub and noticed that water spilled over the edge as he got in and he realized that the water displaced by his body was equal to the weight of his body. Knowing that gold was heavier than other metals the crown maker could have substituted in, Archimedes had his method to determine that the crown was not pure gold. Forgetting that he was undressed, he went running naked down the streets from his home to the king shouting "Eureka!"

According to Boundless, the Archimedes principle states that the buoyant force on an object submerged in a fluid is equal to the weight of the fluid that is displaced by that object.

If a glass is filled to the top with water and then ice cubes are added to it, what happens? Just like the water spilled over the edge when Archimedes entered his bathtub, the water in the glass will spill over when ice cubes are added to it. If the water that spilled out were weighed (weight is a downward force), it would equal the upward (buoyant) force on the object. From the buoyant force, the volume or average density of the object can be determined.

Archimedes was able to determine that the crown was not pure gold due to the volume of the displaced water, because even though the weight of the crown was identical to the weight of the gold that the king gave the crown maker, the volume was different due the various densities of the metals.

The Archimedes principle is a very useful and versatile tool. It can be useful in measuring the volume of irregular objects, such as gold crowns, as well as explaining the behaviors of any object placed in any fluid. Archimedes' principle describes how ships float, submarines dive, hot air balloons fly, and many others examples, according to Science Clarified. The Archimedes principle is also used in a large variety of scientific research subjects including medical, engineering, entomology, engineering, and geology.

Bone volumes/densities

The Archimedes principle has many uses in the medical and dentistry field and is used to determine the densities of bones and teeth. In a 1997 paper published in the journal Medical Engineering & Physics, researchers used the Archimedes principle to measure the volume of the inside spongy part of the bone, also known as the cancellous bone. The volume fraction of the cancellous bone can be used in various age and health studies including being an index in aging studies, osteoporosis, bone strength, stiffness, and elasticity studies. Various methods using Archimedes principle were tested in order to increase reproducibility of the measurements: one where the bone was submerged in distilled water, another where the bone was submerged in a water and surfactant solution, and a third where the bone was placed in a sealed container where the changes in gas pressures were recorded.

An article published in 2017 in the journal Oral Surgery, Oral Medicine, Oral Pathology, Oral Radiology is similar in nature to the previous article where various methods were used in order to determine the reproducibility, one of which was using Archimedes principle. The Archimedes principle was compared with using cone beam computed tomography (CBCT) to measure the volume of the teeth. The tests comparing the Archimedes principle and CBCT measurements showed that the latter would be an accurate tool in planning dental procedures.

Submarines

A simple, reliable, cost-effective design for a submarine described in a 2014 paper in the journal Informatics, Electronics, and Vision, is based on the Archimedes principle. Submarines, according to the authors, are designed to travel while completely submerged underwater and rely on the Archimedes principle in order to maintain a constant depth. The design of this prototype submarine uses calculations involving the mass, density, and volume of both the submarine and the displaced water in order to determine the size needed of the ballast tank, which will determine the amount of water than can fill it and therefore the depth to which the submarine can dive.

Water-walking bugs

While the Archimedes principle is used in submarine design to help them dive and resurface, it also explains the reason why some bugs can walk on water. In a 2016 study published in Applied Physics Letters, researchers used a method of measuring shadows created by the water striders in order to measure the curvatures in the water surface. These dips can then be used to derive the water volume that was displaced leading to the force used to keep the water-bugs afloat. The authors said there is a great deal of interest in understanding the physics behind the water-walking bugs in order to create biomimetic water-walking robots.

Geology

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This is the first in an occasional series leading up to the start of the Coachella Valley Firebirds' inaugural season in October in which we explain the ins and outs of the desert's new pro hockey team, the American Hockey League and the Firebirds' parent organization the Seattle Kraken.

In the first half of 2022, we learned a lot about the Coachella Valley Firebirds. We learned what their jerseys will look like, what the Arena is going to be named and who their head coach will be.

Now comes the exciting part as we learn who some of the actual players are that will be wearing that jersey in Acrisure Arena playing for coach Dan Bylsma.

As the team begins to officially sign players, it's important to understand the way pro hockey contracts work. There are basically three types of contracts a player can sign: a one-way NHL contract, a two-way contract, and a one-way AHL contract.

Let's take a look at what the differences are:

The Firebirds made the announcement on July 11 that they had signed their first two official players in Slovakian standout Samuel Bucek and Canadian talent Ian McKinnon. Those two players signed one-way AHL contracts.

This means that the team expects both players to spend most if not all of the season as a member of the Firebirds. If at some point during the season the team wanted to call up Bucek or McKinnon to the Kraken, they would have to first sign them to a new contract (usually a two-way contract) before bringing them up.

As the Seattle Kraken began to add free agents when the signing period opened Wednesday, many of the players signed were given a two-way contract.

A team signs a player to a two-way contract when they expect the player to spend at least some of the season with their AHL affiliate. The salary the player receives is dependent on whether he's playing with the Firebirds or the Kraken. One salary is set for any amount of time spent playing in the Coachella Valley and a different higher salary is set for the time the player spends playing in Seattle.

The two-way contract also allows the team to move a player up and down without having to sign a new deal or restructure the contract every time the player switches teams.

In the last week, the Kraken have signed the following players to two-way contracts which means they are players that Firebirds fans can expect to see in the desert at some point during the upcoming season. Remember these names:

John Hayden: Former Buffalo Sabres player signed a one-year, two-way contract for $750,000 (average annual value).

Cameron Hughes: A forward who was a member of the Bruins organization and a teammate of McKinnon on the AHL's Providence Bruins signed a two-year, two-way contract at $762,500.

Austin Poganski: A forward who appeared in 16 games for the Winnipeg Jets last season signed a one-year, two-way contract at $750,000.

Brogan Rafferty: A defenseman who played for the Anaheim Ducks last year signed a one-year, two-way contract at $750,000.

Alexander True: The Kraken re-signed their own free agent forward to a one-year, two-way contract at $750,000.

The Seattle Kraken would sign a free agent player to a one-way NHL contract when they expect that player to play for and stay with the NHL team the entire season.

That doesn't mean that player can't be sent down to the Firebirds, but if that happens, the player would still make the salary they were earning in Seattle. It will not be pro-rated or reduced because he is playing in the AHL instead of the NHL like a two-way contract.

So there you have it. Understanding the different contracts available to pro hockey players will help us deduce which players in the Kraken organization likely will be playing for the Firebirds.

Shad Powers is a sports columnist for The Desert Sun. Reach him at shad.powers@desertsun.com.

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