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|TOPIC 05-ARCHIMEDES PRINCIPLE AND LAW OF FLOATATION

 

TOPIC 05-ARCHIMEDES PRINCIPLE AND LAW OF FLOATATION

1.ARCHIMEDES PRINCIPLE

An apparent weight:

Is the weight of the body when itโ€™s partially or totally immersed in liquid.

Up thrust - is upward force exerted by the fluid on the body.

Fluid - is a liquid or gas.

EXPERIMENT

  • Tie a solid with a string and suspend it from a spring.
  • Find the weight of a body in air, call it W1.
  • Find the weight of a body when it is partially immersed in water contained in a beaker, call it W2.
  • Find the weight of a body when itโ€™s totally immersed in water, call it W3.
  • Remove a body from the water, dry it and find its weight, call it W4.
  • It will be observed that W1>W2>W3.

Also W1 = W4

  • This shows that the weight of a body when immersed in water is equal to its weight after it has been removed in water.
  • This result shows that there is apparent loss of weight of the body when it is partially or totally immersed in water.
  • That loss of weight is not a real loss.
  • An apparent loss = weight of a body โ€“ apparent weight of a body in liquid.

From that experiment

An apparent loss = W1 โ€”W2

A liquid exerts an upward force in a body when it is partially or totally immersed in it.

Upthrust = an apparent loss in weight = W1โ€”W2

Example:

1. A body weighs 3.0N in air. When it is totally (completely) immersed in liquid it weighs 2.2N. Find the upthrust experienced by the body.

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