Obtain an expression for the upthrust experienced by a body...

Obtain an expression for the upthrust experienced by a body when immersed in a liquid and state the factors affecting it.
Factors affecting the upthrust.
(1) volume of the immersed part of the body
(2) density of the liquid

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Key Concepts

Gravitational Acceleration

The acceleration due to gravity is used to calculate the weight of the displaced fluid, thereby affecting the magnitude of the upthrust experienced by the object.

Fluid Density

The density of the fluid is another critical factor influencing the upthrust. A denser fluid exerts a larger buoyant force on the object because the weight of the displaced fluid increases with density.

Volume of Displaced Fluid

The upthrust depends directly on the volume of the fluid displaced by the submerged part of the object. A larger volume displacement results in a greater upthrust.

Buoyant Force

The buoyant force is the upward force exerted by the fluid on the submerged object. It counteracts the force of gravity, allowing objects to float or appear lighter in the fluid.

Archimedes' Principle

This is a fundamental principle in fluid mechanics stating that a body immersed in a fluid experiences an upthrust equal to the weight of the fluid it displaces. It serves as the basis for calculating the buoyant force on objects submerged in fluids.

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