Calculating the motion of air cylinder

AI Thread Summary
To calculate the motion of air in an air cylinder, one must consider the mass of the air as a body at atmospheric pressure, equal to the volume of the space being filled. The motion of the glass can be neglected compared to the air's motion, but this needs to be demonstrated rather than assumed. The discussion highlights a mix of basic and advanced concepts, raising questions about the expected level of sophistication in the response. It suggests that a Bernoulli approach for compressible fluids may be necessary, while ruling out a molecular kinetics perspective due to the lack of a specific time for air movement. The thread was ultimately closed for moderation.
Some1WhoNeedsHelp
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Poster us reminded to always show their work in schoolwork questions
Homework Statement
Find the time and velocity of the cylinder
Relevant Equations
ρ=m/V
Q3.png


I am stuck at A, how do you calculate the motion of the air?
I know ρ=m/V but what is the mass of the air, or I got that question wrong?

Thanks
 
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BvU said:
Doesn't it vaguely say the motion of the air can be neglected ?
The opposite… that the motion of the glass can be neglected in comparison to the motion of the air. Even then, we are told to show that, not assume it.
 
Some1WhoNeedsHelp said:
what is the mass of the air
I think you are supposed to treat it as a body of air, at atmospheric pressure, of the same volume as the space to be filled. As such, it is just a mass to be propelled by a constant pressure difference.
What bothers me is the mix of basic and advanced concepts in the one question. Makes it hard to know what degree of sophistication is expected in the answer. Are we expected to treat it as Bernoulli for compressible fluid?
I guess we can rule out a molecular kinetics approach, in which there would be no specific time at which the air as a whole reaches the water. Rather, some molecules would arrive at up to 400m/s, others rather later as they bounce around along the way.
 
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Thread closed for Moderation...
 
Thread will remain closed.

Some1WhoNeedsHelp said:
Homework Statement:: Find the time and velocity of the cylinder
Relevant Equations:: ρ=m/V

I am stuck at A, how do you calculate the motion of the air?
I know ρ=m/V but what is the mass of the air, or I got that question wrong?
@Some1WhoNeedsHelp -- Please post a new thread start with the suggestions that I sent you in a PM. Thank you.
 
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