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19 cze 2024 · You can calculate the buoyant force with the following buoyancy formula: B = ρ × V × g. where: ρ — Density of the liquid the object is immersed in, measured in kg/m³; V — Volume of the displaced liquid, measured in m³; g — Gravitational acceleration in m/s²; and; B — Buoyant force.
Bernoulli's equation relates the pressure, speed, and height of any two points (1 and 2) in a steady streamline flowing fluid of density ρ . Bernoulli's equation is usually written as follows, P 1 + 1 2 ρ v 1 2 + ρ g h 1 = P 2 + 1 2 ρ v 2 2 + ρ g h 2.
You can calculate the buoyancy force either directly by computing the force exerted on each of the object’s surfaces, or indirectly by finding the weight of the displaced fluid. If an object is completely submerged, the volume of the fluid displaced is equal to the volume of the object.
For the purposes of chemistry class (as opposed to physics class), the most important takeaway from this equation is that work is proportional to the displacement as well as the magnitude of the force used. Different versions of the work equation can be used depending on the type of force involved. Some examples of doing work include:
The short answer is that we need to use the volume of the fluid displaced V f l u i d in the formula because the displaced fluid is the factor that determines the buoyant force. What's the longer answer?
The equation to calculate the pressure inside a fluid in equilibrium is: f + div σ = 0 {\displaystyle \mathbf {f} +\operatorname {div} \,\sigma =0} where f is the force density exerted by some outer field on the fluid, and σ is the Cauchy stress tensor .
The volume submerged equals the volume of fluid displaced, which we call V f l V f l. Now we can obtain the relationship between the densities by substituting ρ = m V ρ = m V into the expression. This gives
