Blaise Pascal - Revision history

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References

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	https://en.wikipedia.org/wiki/Pascal%27s_triangle		https://en.wikipedia.org/wiki/Pascal%27s_triangle

			http://chatafrik.com/special/philosophers/blaise-pascal-men-of-ideas#.VmNQ5XarRD9

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Mathematical and Scientific Discoveries

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	==Mathematical and Scientific Discoveries==		==Mathematical and Scientific Discoveries==
			[[File:BlaisePascal.png]]

	Blaise Pascal (June 19, 1623 - August 19, 1662) was a French inventor, physicist, and mathematician who went on to make several discoveries in both mathematics and physics. Pascal's earliest work was in natural and applied sciences, where he made important contributions to the study of fluids, as well as better explaining the ideas of pressure and vacuum.		Blaise Pascal (June 19, 1623 - August 19, 1662) was a French inventor, physicist, and mathematician who went on to make several discoveries in both mathematics and physics. Pascal's earliest work was in natural and applied sciences, where he made important contributions to the study of fluids, as well as better explaining the ideas of pressure and vacuum.

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References

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	==References==		==References==

	~~This section contains the the references you used while writing this page~~		https://en.wikipedia.org/wiki/Blaise_Pascal

	~~[[Category~~:~~Which Category did you place this in?]]~~		https://en.wikipedia.org/wiki/Pascal_(unit)

			http://www.daerospace.com/HydraulicSystems/HydraulicFluidProp.php

			https://en.wikipedia.org/wiki/Pascal%27s_triangle

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External links

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	===External links===		===External links===
	http://www.biography.com/people/blaise-pascal-9434176		http://www.biography.com/people/blaise-pascal-9434176

	~~https://en.wikipedia.org/wiki/Blaise_Pascal~~

	==References==		==References==

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History

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 ==History==
-Pascal created his ''Traité du triangle arithmétique'' ("Treatise on the Arithmetical Triangle") in 1653 while he was living in Paris, France.
+-In 1631, Pascal's father moved him and his two sisters to Paris, and already at his early age, Blaise showed an amazing aptitude for mathematics and science.
 == See also ==

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Examples

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	==Examples==		==Examples==

	~~Be sure to show all steps~~ in ~~your solution and include diagrams whenever possible~~		Here are a couple examples of calculating pressure in pascals.

	===Simple===		===Simple===

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Connectedness

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	==Connectedness==		==Connectedness==
	~~#How is this topic connected~~ to ~~something that you are interested in?~~		Pressure and the Pascal relate to some of the classes I will be taking down the road, like fluids. I find fluids and their characteristics to be intriguing, and since I have a co-op with an HVAC company, it helps to have more knowledge on how fluids and pressure affect the HVAC systems.
	~~#How~~ is it connected to ~~your~~ major?
	~~#Is~~ there ~~an interesting industrial application?~~		This is very connected to my major because my major is mechanical engineering, which has several classes pertaining to the understanding of fluids and how they work, as well as pressure and how the two relate.


			There are many industrial applications to pressure because there are many reactions that can only take place under high pressure conditions. Some of these are found in the areas of polymerization, separations, oil and gas recovery, and food processing.

	==History==		==History==

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Difficult

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	===Difficult===		===Difficult===
			Calculate the pressure at a depth "h" in a cylinder with an area A and a height h filled with a fluid.

			P = pressure, Po = pressure due to the air (atmospheric pressure)

			The fluid is at rest,
			So we can write:

			Fnet = 0
			PA – mg – PoA = 0

			However we know that:
			Mass = density x volume = density x (area x height)
			, r = density

			M = rV = rAh

			So we can substitute:

			PA – (rAh)g - PoA = 0

			cancel out the Area, A:

			P – (rh)g - Po = 0

			and the pressure at any depth will be:

			P = Po + rgh


			In words this says: the pressure at a depth ‘h’ will be the atmospheric pressure(14.7 lbs/in2) + (rgh)

	==Connectedness==		==Connectedness==

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Middling

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	===Middling===		===Middling===
			A force of 100N is applied to one end of a tube with a radius of 8cm. What is the force resulting at the other end of the tube with a diameter of 6cm?

			P1 = P2

			(F1)/A1 = (F2)/A2

			F2 = (F1*A2)/A1


			A1 = pi*(0.08m)^2 = 0.02 m^2

			A2 = pi*(0.06m/2)^2 = 2.83e-3 m^2

			F2 = (100N*2.83e-3 m^2)/(0.02 m^2)

			F2 = 14.15 N

	===Difficult===		===Difficult===

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	== See also ==		== See also ==
			To learn more about Pascal's calculators:
			https://en.wikipedia.org/wiki/Pascal%27s_calculator

	~~Are there related topics or categories in this~~ wiki ~~resource for the curious reader to explore? How does this topic fit into that context?~~		To further read about Pascal's Trangle:
			https://en.wikipedia.org/wiki/Pascal%27s_triangle

			to learn more about Pascal's experiment with hydrostatic pressure:
			https://en.wikipedia.org/wiki/Pascal%27s_barrel
	===Further reading===		===Further reading===

	~~Books, Articles or other print media on this topic~~
			To read about Pascal's ''De l'Esprit géométrique'' ("Of the Geometrical Spirit") which is the preface to a geometry textbook "Petites-Ecoles de Port-Royal" ("Little Schools of Port-Royal"):
			https://en.wikipedia.org/wiki/Petites_%C3%A9coles_de_Port-Royal

	===External links===		===External links===
	[http://www.~~scientificamerican~~.com/~~article~~/~~bring~~-~~science~~-~~home-reaction-time/]~~		http://www.biography.com/people/blaise-pascal-9434176

			https://en.wikipedia.org/wiki/Blaise_Pascal

	==References==		==References==