Pressure in horizontal rotating tube

Click For Summary
SUMMARY

The discussion centers on the pressure distribution in a horizontal tube filled with an ideal gas, rotating around its axis. The equation P.A = m.w².r is used to analyze the forces at play, where P is pressure, A is area, m is mass, w is angular velocity, and r is radius. It is concluded that the pressure at the free end of the tube is higher, as it provides the necessary centripetal force for the gas. This conclusion is supported by the understanding that the gas exerts a force on the tube's ends, particularly at the free end.

PREREQUISITES
  • Understanding of ideal gas behavior
  • Familiarity with centripetal force concepts
  • Knowledge of rotational dynamics
  • Proficiency in applying the equation P.A = m.w².r
NEXT STEPS
  • Research the effects of angular velocity on gas pressure in rotating systems
  • Study the principles of centripetal force in fluid dynamics
  • Explore the behavior of gases in non-inertial reference frames
  • Investigate the implications of pressure differentials in rotating tubes
USEFUL FOR

Students in physics, engineers working with fluid dynamics, and anyone studying the behavior of gases in rotating systems will benefit from this discussion.

jonny23
Messages
33
Reaction score
0

Homework Statement


If there is a horizontal tube rotating on axis in horizontal plane. it is filled with an ideal gas , So which end will the pressure be higher ?
the end on axis?? or the free end

Homework Equations



P.A= m .w^2 .r

The Attempt at a Solution



i think the free end should have higher pressure which provides centripetal force[/B]
 
Physics news on Phys.org
jonny23 said:

Homework Statement


If there is a horizontal tube rotating on axis in horizontal plane. it is filled with an ideal gas , So which end will the pressure be higher ?
the end on axis?? or the free end

Homework Equations



P.A= m .w^2 .r

The Attempt at a Solution



i think the free end should have higher pressure which provides centripetal force[/B]
Yes.
 
but will the liquid exert a force on free end of tube ??
 
jonny23 said:
but will the liquid exert a force on free end of tube ??
Liquid?
I assume it's a closed tube, so yes the end of the tube will exert a force on the gas.
 

Similar threads

  • · Replies 20 ·
Replies
20
Views
2K
  • · Replies 9 ·
Replies
9
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 20 ·
Replies
20
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
10
Views
2K