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The dimensionless added mass coefficient is the added mass divided by the displaced fluid mass – i.e. divided by the fluid density times the volume of the body. In general, the added mass is a second-order tensor, relating the fluid acceleration vector to the resulting force vector on the body. [1]
The increase in weight is equal to the amount of liquid displaced by the object, which is the same as the volume of the suspended object times the density of the liquid. [ 1 ] The concept of Archimedes' principle is that an object immersed in a fluid is buoyed up by a force equal to the weight of the fluid displaced by the object. [ 2 ]
An Olympic-size swimming pool holds over 2 acre-feet of water For larger volumes of liquid, one measure commonly used in the media in many countries is the Olympic-size swimming pool. [47] A 50 m × 25 m (164 ft × 82 ft) Olympic swimming pool, built to the FR3 minimum depth of 2 metres (6.6 ft) would hold 2,500 m 3 (660,000 US gal).
ρ (Greek letter rho) is the fluid mass density (e.g. in kg/m 3), and; u is the flow speed in m/s. It can be thought of as the fluid's kinetic energy per unit volume. For incompressible flow, the dynamic pressure of a fluid is the difference between its total pressure and static pressure. From Bernoulli's law, dynamic pressure is given by
Pressure in water and air. Pascal's law applies for fluids. Pascal's principle is defined as: A change in pressure at any point in an enclosed incompressible fluid at rest is transmitted equally and undiminished to all points in all directions throughout the fluid, and the force due to the pressure acts at right angles to the enclosing walls.
The short ton (abbreviation tn [1]) is a measurement unit equal to 2,000 pounds (907.18 kg). It is commonly used in the United States, where it is known simply as a ton; [1] however, the term is ambiguous, the single word "ton" being variously used for short, long, and metric tons. The various tons are defined as units of mass. [2]
a: Froude–Krylov force, due to the pressure gradient at the body's location induced by the fluid acceleration ˙, b: hydrodynamic mass force, c: drag force. Note that the added mass coefficient is related to the inertia coefficient as = +.
The water ton is used chiefly in Great Britain, in statistics dealing with petroleum products, and is defined as 224 imperial gallons (35.96 cu ft; 1.018 m 3), [22] the volume occupied by 1 long ton (2,240 lb; 1,016 kg) of water under the conditions that define the imperial gallon.