Links Or Book I Used
There are a few so called 'tools' I used to finish up this blog. Among them are:-
1. www.wikipedia.com
2. www.google.com
3. youtube.com
4. My tuition books.
Sunday 26 August 2012
Application Of Archimedes' Principle
Hydrometer
1. The hydrometer is used to measure the relative density of liquid.
2. Buoyant Force=weight of hydrometer, hydrometer float on a liquid.
3. a. if the liquid is of lesser density, greater volume of liquid will be displaced.
b. if the liquid is of greater density, smaller volume of liquid will be displaced.
Video On How To Use A Hydrometer.
Application of Archimedes' Principle
Hot Air Balloon
1. Buoyant Force=weight of hot air balloon, hot air balloon is at a constant height
2. Buoyant Force> weight of hot air balloon, hot air balloon rises upwards
3. Buoyant Force<weight of hot air balloon, hot air balloon is descend.
To ensure the hot air balloon is easier to move upwards:-
a. increase the volume of hot air
b. heat the air in the hot air balloon.
Archimedes Principle
Weight of the object in the air = w1
Weight of empty beaker = w2
Weight of object in water = w3
Weight of beaker + displaced water = w4
Calculations:
Weight of displaced water, w = w4 - w2
Therefore, weight of object=buoyant force
weight of object is also equals to weight of water displaced
Archimedes' Principle
1. Archimedes' Principle states that for a body immersed wholly or partially in a fluid, the buoyant force is equal to the weight of the fluid displace.
2. Buoyant force=weight of fluid displace
3. F=pgv
where F=buoyant force in N
p=density of the liquid
g=gravitational acceleration
v=volume off liquid displaced
4. For principle of floatation, weight of object=buoyant force.
Who Is Archimedes?
Archimedes of Syracuse (Greek: Ἀρχιμήδης; c. 287 BC – c. 212 BC) was a Greek mathematician, physicist, engineer, inventor, and astronomer. Although few details of his life are known, he is regarded as one of the leading scientists in classical antiquity. Among his advances in physics are the foundations of hydrostatics, statics and an explanation of the principle of the lever. He is credited with designing innovative machines, including siege engines and the screw pump that bears his name. Modern experiments have tested claims that Archimedes designed machines capable of lifting attacking ships out of the water and setting ships on fire using an array of mirrors.
Archimedes is generally considered to be the greatest mathematician of antiquity and one of the greatest of all time. He used the method of exhaustion to calculate the area under the arc of a parabola with the summation of an infinite series, and gave a remarkably accurate approximation of pi. He also defined the spiral bearing his name, formulae for the volumes of surfaces of revolution and an ingenious system for expressing very large numbers.
Archimedes died during the Siege of Syracuse when he was killed by a Roman soldier despite orders that he should not be harmed. Cicero describes visiting the tomb of Archimedes, which was surmounted by a sphere inscribed within a cylinder. Archimedes had proven that the sphere has two thirds of the volume and surface area of the cylinder (including the bases of the latter), and regarded this as the greatest of his mathematical achievements.
Unlike his inventions, the mathematical writings of Archimedes were little known in antiquity. Mathematicians from Alexandria read and quoted him, but the first comprehensive compilation was not made until c. 530 AD by Isidore of Miletus, while commentaries on the works of Archimedes written by Eutocius in the sixth century AD opened them to wider readership for the first time. The relatively few copies of Archimedes' written work that survived through the Middle Ages were an influential source of ideas for scientists during the Renaissance, while the discovery in 1906 of previously unknown works by Archimedes in the Archimedes Palimpsest has provided new insights into how he obtained mathematical results.
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