Asked in UHS MDCAT 2009 2009Moderate

Torricelli's theorem be written as:

Correct answer: A. v2 = √ 2g (h1 - h2)

  • A. v2 = √ 2g (h1 - h2)
  • B. v2 = √ g (h2 - h1)
  • C. v2 = √ 2g (h2 - h1)
  • D. v2 = √ g (h1 - h2)

Explanation

Explanation:Torricelli's theorem states that the velocity (v) of a liquid flowing out of an orifice at the bottom of a container is equal to the velocity acquired by a freely falling body from a height (h1 - h2), where h1 is the height of the liquid surface above the orifice and h2 is the height of the orifice above the ground. Mathematically, it can be expressed as: v2 = √ 2g (h1 - h2)Where g is the acceleration due to gravity.

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About Bernoulli's Equation

Bernoulli’s equation applies conservation of energy to steady flow of an incompressible, non-viscous fluid along a streamline: pressure, kinetic and gravitational terms have a constant total. It explains pressure-speed changes in narrow pipes, Venturi meters and lift, and differs from continuity because it relates pressure as well as velocity and height.

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