What is Archimedes' principle??
The upthrust on an object in a fluid is equal to the weight of fluid displaced.
What is the force of upthrust on a boat??
The weight of water that the boat displaces.
In 
, why is there a resultant force upwards??
Pressure increases with depth. There is more pressure on the bottom of the object.
In , why is there pressure on the sides??
Pressure is just particles bumping into the side, so particles bump into the side too.
In , what is the resultant motion??
The object accelerates upwards.
In 
, what does $d$ represent??
The depth of the object.
In , what does $h$ represent??
The height of the object.
What is the formula for the force of pressure $P$ over an area $A$??
$$ A \times P $$
What is the formula for the force of pressure at a height $h$ over an area $A$??
$$ \rho h g A $$
In , what is the distance to the bottom of the object??
$$ d + h $$
In , what is the pressure at the top of the object if it has a surface area $A$??
$$ \rho d g A $$
In , what is the pressure at the bottom of the object if it has a surface area $A$??
$$ \rho (d + h) g A $$
What do you get if you expand $\rho (d + h) g A$??
$$ \rho d g A + \rho h g a $$
In , if $\rho d g A + \rho h g a$ is the force at the bottom of the object and $\rho d g A$ is the force at the top, what is the resultant force??
$$ \rho h g A $$
In , the resultant force on the object is $\rho h g A$. How could you simplify this??
$$ \rho g V $$
How can you think about the equation $\text{upthrust} = \rho g V$??
- $\rho V$ is the mass of the water displaced
- $\rho g V$ is the weight of the water displaced
What is the quation for upthrust??
$$ U = \rho g V $$
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date: 2020-11-11 18:02
tags:
- '@?physics'
- '@?pressure'
- '@?public'
- '@?year-1'
- '@?school'
title: Physics - Archimedes' Principle