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Pascal (unit)

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The pascal (symbol: Pa) is the unit of pressure in the International System of Units (SI). It is also used to quantify internal pressure, stress, Young's modulus, and ultimate tensile strength. The unit, named after Blaise Pascal, is an SI coherent derived unit defined as one newton per square metre (N/m). It is also equivalent to 10 barye (10 Ba) in the CGS system.

International System of UnitsInternational System of UnitsThe International System of Units, internationally known by the abbreviation SI (from its official French name, Système international d'unités), is the modern form of the metric system and the world's most widely used system of measurement. It is the only system of measurement with official status in nearly every country in the world, employed in science, technology, industry, and everyday commerce.SI derived unitSI derived unitSI derived units are units of measurementderived from the seven SI base units specified by the International System of Units (SI). They can be expressed as a product (or ratio) of one or more of the base units, possibly scaled by an appropriate power of exponentiation (see: Buckingham π theorem). Some are dimensionless, as when the units cancel out in ratios of like quantities.Newton (unit)Newton (unit)The newton (symbol: N) is the unit of force in the International System of Units (SI). Expressed in terms of SI base units, it is 1 kg⋅m/s, the force that accelerates a mass of one kilogram at one metre per second squared. The unit is named after Isaac Newton in recognition of his work on classical mechanics, specifically his second law of motion. DefinitionA newton is defined as 1 kg⋅m/s (it is a named derived unit defined in terms of the SI base units).Centimetre–gram–second system of unitsCentimetre–gram–second system of unitsVariant of the metric systemThe centimetre–gram–second system of units (CGS or cgs) is a variant of the metric system based on the centimetre as the unit of length, the gram as the unit of mass, and the second as the unit of time. All CGS mechanical units are unambiguously derived from these three base units, but there are several different ways in which the CGS system was extended to cover electromagnetism.Square metreSquare metreThe square metre (international spelling as used by the International Bureau of Weights and Measures) or square meter (American spelling) is the unit of area in the International System of Units (SI) with symbol m. It is the area of a square with sides one metre in length. Adding and subtracting SI prefixes creates multiples and submultiples; however, as the unit is exponentiated, the quantitiesgrow exponentially by the corresponding power of 10.PressurePressureForce distributed over an area PressurePressure exerted by particle collisions inside a closed container.Blaise PascalBlaise PascalBlaise Pascal (19 June 1623 – 19 August 1662) was a French mathematician, physicist, inventor, philosopher, and Catholic writer. Pascal was a child prodigy who was educated by his father Étienne Pascal, a tax collector in Rouen. His earliest mathematical work was on projective geometry; he wrote a significant treatise on the subject of conic sections at the age of 16.Young's modulusYoung's modulusYoung's modulus (or the Young modulus) is a mechanical property of solid materials that measures the tensile or compressive stiffness when the force is applied lengthwise. It is the elastic modulus for tension or axial compression. Young's modulus is defined as the quotient of the stress (force per unit area) applied to the object and the resulting axial strain (a dimensionless quantity that quantifies relative deformation) in the linear elastic region of the material.BaryeBaryeThe barye (symbol: Ba), or sometimes barad, barrie, bary, baryd, baryed, or barie, is the centimetre–gram–second (CGS) unit of pressure. It is defined as 1 dyne per square centimetre and is equal to 1 microbar. It has also historically been written as "bar", which conflicts with bar. 1 Ba = 0.1 Pa = 10 bar = 10 pieze = 0.1 N/m = 1 g⋅cm⋅sA barye is also equivalent to 1,000 millibarye or 0.001 kilobarye.Ultimate tensile strengthUltimate tensile strengthUltimate tensile strength (also called UTS, tensile strength, TS, ultimate strength or Ftu{\displaystyle F_{\text{tu}}} in notation) is the maximum stress that a material can withstand while being stretched or pulled before breaking. In brittle materials, the ultimate tensile strength is close to the yield point, whereas in ductile materials, the ultimate tensile strength can be higher.Internal pressureInternal pressureInternal pressure is a measure of how the internal energy of a system changes when it expands or contracts at constant temperature. It has the same dimensions as pressure, the SI unit of which is the pascal. Internal pressure is usually given the symbol π T {\displaystyle \pi _{T}} .Stress (mechanics)Stress (mechanics)Physical quantity that expresses internal forces in a continuous material StressResidual stresses inside a plastic protractor are revealed by polarized light.Common symbolsσSI unitpascalOther unitspsi, barIn SI base unitsPa = kg⋅m−1⋅s−2Dimension L − 1 M T − 2 {\displaystyle {\mathsf {L}}^{-1}{\mathsf {M}}{\mathsf {T}}^{-2}} In continuum mechanics, stress is a physical quantity that describes forces present during deformation.

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