Just a thought experiment on fluid mechanics.

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Discussion Overview

The discussion revolves around a thought experiment in fluid mechanics involving a wooden block submerged in water within an accelerating elevator. Participants explore the implications of the elevator's acceleration on the block's buoyancy and equilibrium, referencing concepts from fluid mechanics and general relativity.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant proposes that the block's position in the water may change when the elevator accelerates upwards, suggesting a need to consider the forces acting on the block.
  • Another participant references Einstein's thought experiments related to gravitational and inertial mass, indicating a connection to the principles of general relativity.
  • A participant in grade 12 shares their reasoning about the equilibrium of the block when the elevator is not accelerating and presents a mathematical approach to the scenario when the elevator accelerates, questioning the correctness of their logic and calculations.

Areas of Agreement / Disagreement

The discussion includes multiple viewpoints and interpretations regarding the effects of acceleration on buoyancy and equilibrium, with no consensus reached on the implications of the thought experiment.

Contextual Notes

Participants express varying levels of understanding and assumptions about fluid mechanics principles, particularly regarding buoyancy and the effects of acceleration on submerged objects.

nil1996
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I am thinking that...
if a tank of water which contains a small wooden block is kept in an elevator which is accelerating upwards from rest, will the block get more dipped or remains constant position with respect to water??
 
Last edited:
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You are describing a thought experiment that Einstein considered while formulating GR. He was trying to resolve the apparent difference between gravitational mass and inertial mass. In the end GR postulated that they are one and the same.

In your case, you could simply ask what how would the tank of water and block react in a heavier gravitational environment.
 
So what do you think about it?:smile:
 
I am grade 12 and just thinking it while reading my fluid mechanics lesson. When the lift is not accelerating the weight of the block must be equal to the buoyancy force as the block is in equilibrium. When the lift stats accelerating the mass of the block becomes m(g+a),where a is acceleration of lift. Now according to the Archimedes principle weight of the block must be equal to the weight of the water displaced by the block.So the weight of the water will be its mass*(g+a). Is my logic and maths correct??
 

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