Can you explain the answer of this question below:Viscosity of water i...
According to Archimedes principle, if a body is immersed partially or fully in a fluid then the buoyancy force is equal to the weight of fluid displaced by the body.Archimedes Principle:
Archimedes principle states that when a body is partially or fully immersed in a fluid, it experiences an upward buoyant force equal to the weight of the fluid displaced by the body. This principle is based on the observation made by the Greek mathematician and physicist Archimedes.
Buoyant Force:
The buoyant force is the upward force exerted by a fluid on an object immersed in it. It is equal to the weight of the fluid displaced by the object. The buoyant force depends on the density of the fluid and the volume of the displaced fluid.
Weight of Fluid Displaced:
The weight of the fluid displaced by a body is equal to the weight of the fluid that occupies the same volume as the immersed part of the body. This weight can be calculated using the formula:
Weight of fluid displaced = density of fluid × volume of fluid displaced × acceleration due to gravity
The weight of the fluid displaced is the force that opposes the weight of the body, resulting in the buoyant force.
Relation between Buoyant Force and Weight of Fluid Displaced:
According to Archimedes principle, the buoyant force is equal to the weight of the fluid displaced by the body. This means that the upward force exerted by the fluid on the body is exactly equal to the weight of the fluid that is pushed aside or displaced by the body.
Since the buoyant force is equal to the weight of the fluid displaced, the answer to the given question is option A: equal to. This principle holds true for both partially and fully immersed bodies in a fluid.
Conclusion:
In conclusion, Archimedes principle states that the buoyant force experienced by a body immersed in a fluid is equal to the weight of the fluid displaced by the body. This principle helps explain why objects float or sink in fluids and is fundamental to our understanding of fluid mechanics.