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Addendum to Buoyancy II Summary

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  • Addendum to Buoyancy II Summary

    Sorry for the additional note but I neglected to include two
    recently received responses regarding the buoyancy issue. I have appended
    these to this note.

    Scott Mclean

    Added Responses
    ================================================== ========================
    Response #9


    I haven't yet seen a summary of responses to this problem. Does that mean
    you've stumped the audience? Did you calculate the buoyant forces acting
    on the added weights? It seems to me that your problem boils down to
    seeing dB change as only the term (R2*dR2) or (R1*dR1) changes. If your
    calculation of R2 were actually too high (by overestimating the added
    weight), would that cause the apparent shifts you saw? Good luck!

    Larry Abraham, EdD
    Kinesiology & Health Education
    The University of Texas at Austin
    Austin, TX 78712 USA
    (512)471-1273 FAX (512)471-8914

    ================================================== =========================
    Response #10
    Your problem has intrigued me because we all know that the equations for
    equilibrium conditions must hold. The problem is to find where you have
    made faulty assumptions about the equilibrium states you are comparing.
    I am not clear about what you are doing with R1 and R2 and the masses
    that you used to keep the pipe submerged. If you are not varying the
    forces so that they remain just sufficient to maintain the identical
    ploating position, your two conditions are not comparable.
    The CB as you
    appear to be defining it cannot change position for a solid that is of
    fixed shape. What does change is what I would call the center of
    floatation(or sinking). This would be the net rotational force acting on
    the body when the forces R1 and R2 are altered. If I misunderstood and
    you did vary R1 and R2 to be "just sufficient" then you have a mystery
    that requires a very careful examination of your measurement procedures.
    Please continue to keep us informed.