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R is the specific gas constant = 287.053 J/(kg K) T is the absolute temperature in kelvins = 288.15 K at sea level, g is the acceleration due to gravity = 9.806 65 m/s 2 at sea level, P is the pressure at a given point at elevation z in Pascals, and; P 0 is pressure at the reference point = 101,325 Pa at sea level.
Suppose a rock's weight is measured as 10 newtons when suspended by a string in a vacuum with gravity acting on it. Suppose that, when the rock is lowered into the water, it displaces water of weight 3 newtons. The force it then exerts on the string from which it hangs would be 10 newtons minus the 3 newtons of buoyant force: 10 − 3 = 7 newtons.
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] The weight of the displaced fluid can be found mathematically. The mass of the displaced fluid can be expressed in terms of the density and its volume, m = ρV.
Bernoulli's principle is a key concept in fluid dynamics that relates pressure, density, speed and height. Bernoulli's principle states that an increase in the speed of a parcel of fluid occurs simultaneously with a decrease in either the pressure or the height above a datum. [1]:
"The majority of the adult body is water, up to 60% of your weight," says Schnoll-Sussman, adding that the average person's weight can fluctuate one to five pounds per day due to water.
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ρ is the fluid density (kg/m 3), g is gravitational acceleration (m/s 2), z is the height (parallel to the direction of gravity) of the test area (m), 0 is the height of the zero reference point of the pressure (m) p_0 is the hydrostatic pressure field (Pa) along x and y at the zero reference point
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