- #1
J.Welder12
- 5
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If a tire is punctured (or if any container full of air is holed) the air starts to leak out. Consider a small area A of the wall of the container. Show that the number of molecules striking this surface in a time interval Δt is
pAΔt/2m<Vx>
p is the pressure
m is the average mass of the air molecule
<Vx> is the average x-velocity of the molecules
Assume collisions with the wall are elastic
By having elastic collisions, the KE is conserved and none of the KE is transferred in any other form
In class, we showed that p= -ΔP/Δt
where P is the average molecular momentum
pressure (p)=F/A
therefore -ΔP/Δt=F/A
F=ma => -ΔP/Δt=(ma)/A
that is where I have gotten so far. Not sure if I am doing this right or where to go from here
Please help!
pAΔt/2m<Vx>
p is the pressure
m is the average mass of the air molecule
<Vx> is the average x-velocity of the molecules
Assume collisions with the wall are elastic
By having elastic collisions, the KE is conserved and none of the KE is transferred in any other form
In class, we showed that p= -ΔP/Δt
where P is the average molecular momentum
pressure (p)=F/A
therefore -ΔP/Δt=F/A
F=ma => -ΔP/Δt=(ma)/A
that is where I have gotten so far. Not sure if I am doing this right or where to go from here
Please help!