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WEEK 8:

TOPIC: EQUILIBRIUM OF BODIES IN LIQUIDS

CONTENT:

  • Concept of Upthrust
  • Archimedes Principle
  • Density & Relative density
  • Principle of flotation

EQUILIBRIUM OF BODIES IN LIQUIDS

Boat, ship or a swimmer can float on water. This is as a result of certain forces acting on these bodies.

The force U is called the upthrust.

Upthrust can be defined as an upward force experience by object in a fluid.

Upthrust can also be defined as the loss weight experienced by an object partial or completely immersed in a fluid. for object floating in a fluid,

W = U

For object partly or wholly immersed in a fluid, (e.g bucket of water inside the water in a well weight lighter than)

U = weight loss

Consider a bucket of water of weight W in a well which is held by a string whose tension is T. When the bucket is above the water in the well, the tension in the string equals the weight of the bucket.           (W = T)

When the bucket is inside the well, it experiences a weight loss which equal to the difference (W – T)

Upthrust {U = W – T…………       (i)}

Where W is the weight of the bucket in air and T is the bucket in the well/fluid.

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