- published: 09 Sep 2008
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Pressure (the symbol: p) is the force per unit area applied in a direction perpendicular to the surface of an object. Gauge pressure (also spelled gage pressure) is the pressure relative to the local atmospheric or ambient pressure.
Pressure is the effect of a force applied to a surface. Pressure is the amount of force acting per unit area. The symbol of pressure is p.
Mathematically:
where:
Pressure is a scalar quantity. It relates the vector surface element (a vector normal to the surface) with the normal force acting on it. The pressure is the scalar proportionality constant that relates the two normal vectors:
The minus sign comes from the fact that the force is considered towards the surface element, while the normal vector points outward.
It is incorrect (although rather usual) to say "the pressure is directed in such or such direction". The pressure, as a scalar, has no direction. It is the force given by the previous relationship to the quantity that has a direction, not the pressure. If we change the orientation of the surface element, the direction of the normal force changes accordingly, but the pressure remains the same.
Justin Drew Bieber ( /ˈbiːbər/ BEE-bər, born March 1, 1994) is a Canadian Pop/R&B singer-songwriter, musician, and actor. Bieber was discovered in 2008 by Scooter Braun, who came across Bieber's videos on YouTube and later became his manager. Braun arranged for him to meet with Usher in Atlanta, Georgia, and Bieber was soon signed to Raymond Braun Media Group (RBMG), a joint venture between Braun and Usher, and then to a recording contract with Island Records offered by L.A. Reid. Bieber's debut single, "One Time", was released in 2009 and peaked in the top twenty in Canada and charted in the top thirty in several international markets. His debut album, the seven-track EP My World, followed in November 2009, and was soon certified platinum in the United States. He became the first artist to have seven songs from a debut album chart on the Billboard Hot 100.
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Joel had Top 40 hits in the 1970s, 1980s, and 1990s, achieving 33 Top 40 hits in the United States, all of which he wrote himself. He is also a six-time Grammy Award winner, a 23-time Grammy nominee and has sold over 150 million records worldwide. He was inducted into the Songwriter's Hall of Fame (1992), the Rock and Roll Hall of Fame (1999), the Long Island Music Hall of Fame (2006), and the Hit Parade Hall of Fame (2009). In 2008, Billboard magazine released a list of the Hot 100 All-Time Top Artists to celebrate the US singles chart's 50th anniversary, with Billy Joel positioned at No. 23. With the exception of the 2007 songs "All My Life" and "Christmas in Fallujah," Joel stopped recording pop/rock material after 1993's River of Dreams, but he continued to tour extensively until 2010.
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