What are the implications of Archimedes' principle in fluid mechanics?

Question

Accepted Answer

∻Solution∻ ‖ a ⋮ Archimedes' principle states that the buoyant force on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. ‖ ‖ b ⋮ The equation for the buoyant force ($$F_b$$) is given by $$F_b = \rho V g$$, where $$\rho$$ is the density of the fluid, $$V$$ is the volume of the fluid displaced, and $$g$$ is the acceleration due to gravity. ‖ ‖ c ⋮ This principle has several implications in fluid mechanics, such as determining whether an object will float or sink, calculating the buoyancy of ships and submarines, and designing fluid flow measurements. ‖ ∻Answer∻ ⚹ Archimedes' principle is crucial for predicting the buoyant force on objects in a fluid and has broad applications in designing and understanding the behavior of floating and submerged objects. ⚹ ∻Key Concept∻ ⚹ Archimedes' Principle: Archimedes' principle is a fundamental concept in fluid mechanics that describes the buoyant force exerted on objects when they are placed in a fluid. ⚹ ∻Explanation∻ ⚹ The principle explains why objects float or sink and is essential for calculating the buoyancy of vessels and for designing measurement devices that rely on fluid displacement. ⚹

Sia