Why Ships Float: Displacing Water vs Weight in Air

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Discussion Overview

The discussion revolves around the principles of buoyancy and displacement, specifically addressing whether the amount of water displaced by an object must exceed its weight in air for it to float. Participants explore scenarios involving different weights and displacements, questioning the conditions under which objects float or sink.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions if an object must displace more water than its weight in air to float, using a bowl as an example.
  • Another participant asserts that an object must displace an amount of water equal to its own weight to float, explaining that if it displaces less, it will sink.
  • A third participant humorously comments on the cleverness of boats in managing displacement and buoyancy calculations.
  • Another participant references the Titanic to highlight potential failures in buoyancy principles.
  • One participant emphasizes that a floating object displaces exactly its weight in water, countering the idea that it could displace more or less.
  • A later reply distinguishes between floating and submerged objects, noting that submerged objects may not displace an amount of water equal to their weight, using rocks and beach balls as examples.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between weight and displacement for floating objects. Some agree that displacement must equal weight, while others introduce nuances regarding submerged objects and their behavior.

Contextual Notes

There are unresolved assumptions regarding the definitions of floating and submerged objects, as well as the conditions under which displacement and weight are compared.

PrakashPrasad
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Does the amount of water displaced by an object needs to be greater than its weight (in air) for it to float in water?

Say a bowl of 5 kg displaces 4 kg of water - will it float or sink? If it sinks the if it had displaced 5 kg of water would it float?

That is the volume of water displaced by an object has to be greater or more than the weight of the object in air?
 
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PrakashPrasad said:
Does the amount of water displaced by an object needs to be greater than its weight (in air) for it to float in water?

It needs to displace an amount of water whose weight equals its own weight. If it displaces less, it will sink. If it displaces more, it will rise out of the water until it displaces just the right amount.

PrakashPrasad said:
Say a bowl of 5 kg displaces 4 kg of water - will it float or sink? If it sinks the if it had displaced 5 kg of water would it float?

It will sink. A floating object displaces exactly as much water as it itself weighs. That's why a ship fully loaded sits lower in the water than when it is empty. It has to displace more water to counteract the weight of its cargo.

See the following links:

https://en.wikipedia.org/wiki/Archimedes'_principle
https://en.wikipedia.org/wiki/Buoyancy
 
Those boats are very clever. They do those displacement / buoyancy / weight sums in their heads, without writing anything down and they always get it right.:biggrin:
 
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Well - there was the Titanic . . . .
 
PrakashPrasad said:
Does the amount of water displaced by an object needs to be greater than its weight (in air) for it to float in water?
The amount of water displaced by a floating object is always equal to the objects weight. It never displaces more or less water as Sophie says the boat gets it just right.
It really does not need to do anything except float.
 
Note the distinction between a 'floating object' and an 'submerged object'. A submerged object usually doesn't displace an amount of water equal to its own weight. For example, rocks weigh much more than the water they displace, which is why they sink. On the other hand, the water displaced by a submerged beach ball weighs much more than the beach ball, which is why the ball will come shooting to the surface once you let it go.
 

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