Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Variation in pressure in a rotating tube?

  1. Oct 16, 2016 #1
    What is the pressure experienced by any point at different locations inside a rotating tube filled with water?
    The axis of rotation is through the center of the tube.
     
  2. jcsd
  3. Oct 16, 2016 #2

    kuruman

    User Avatar
    Homework Helper
    Gold Member

    Hi Ravija and welcome to PF.

    Perhaps the easiest way to see this is in the rotating frame of the tube. Assuming that the rotation is in a horizontal plane, so that we don't have to worry about gravity, the centripetal acceleration points towards the center and is ##\omega^2 r## where ##r## is the distance from the center. In the reference frame of the rotating tube, this is seen as a centrifugal acceleration that has the same magnitude but points away from the center. The effective acceleration of gravity then is is ##g_{eff}=\omega^2 r## and becomes larger the more one moves away from the center. At the center the pressure is zero. At a point away from the center, the pressure is ##p = \rho g_{eff} r = \rho \omega^2 r^2##.

    On edit: Here, ##\omega## is the angular speed of the tube and ##\rho## is the density of water.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Variation in pressure in a rotating tube?
  1. Pressure variation (Replies: 6)

Loading...