Hydrostatics - Which point has higher pressure?

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Homework Help Overview

The discussion revolves around hydrostatics, specifically the pressure differences at two points in a body of water beneath a floating boat. Participants are exploring the implications of hydrostatic pressure and the effects of buoyancy.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning whether the pressure at two points—one directly beneath the boat and one further away—can be considered equal, given the principles of hydrostatic pressure. There are discussions about the role of the boat in adding pressure and the concept of water incompressibility.

Discussion Status

The conversation is ongoing, with some participants affirming that the pressures are equal while others are raising doubts about the assumptions involved. There is a mix of interpretations regarding the effects of the boat on pressure and the nature of the water column beneath it.

Contextual Notes

Participants are considering the implications of hydrostatic pressure equations and the physical characteristics of water in relation to the problem. There is an acknowledgment of the atmospheric pressure's role in the overall pressure experienced at the points in question.

IBY
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Just a little question. Say a boat is floating on water. Imagine now two points in the shallow, flat sea floor. One is below the ship and the other is just water all the way up. Which point has higher pressure?

I am imagining that both points have the same pressure due to the concept of hydrostatic pressure:
[tex]\rho g h[/tex]
But still, I have a little doubt. Wouldn't the boat add a little more pressure along with the atmospheric one?
 
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IBY said:
Just a little question. Say a boat is floating on water. Imagine now two points in the shallow, flat sea floor. One is below the ship and the other is just water all the way up. Which point has higher pressure?

I am imagining that both points have the same pressure due to the concept of hydrostatic pressure:
[tex]\rho g h[/tex]
you are correct
But still, I have a little doubt. Wouldn't the boat add a little more pressure
Unlike solids or soils, water is almost incompressible, so for all intent and pupose, it would not add pressure
along with the atmospheric one?
the pressure at the given point in the water is the sum of the atmospheric pressure plus the water 'gauge' pressure you noted in your equation.
 


The pressures are equal. The boat acts as though it is the volume of water it displaces.
 


Thanks!
 


Think: part of the boat is under water, so the height of the water column beneath it is less than h.

ehild
 

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