{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

BuoyancyForce - Buoyancy Overview According to Archimedes...

Info icon This preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
Buoyancy Overview According to Archimedes, an object immersed in a fluid displaces the same volume of fluid as the volume of that object, and is consequently buoyed up by a force equal to the weight of the displaced fluid. Hence, if the mass of the liquid displaced is less (greater) than the mass of the object, the object will sink (float). We will show that the buoyant force can be analyzed using the equations of hydrostatics and is a result of two effects: the variation of hydrostatic pressure with depth, and an unbalanced upward force acting on the bottom of a submerged object. Buoyancy is the reason why a heavy ocean liner can float. What matters is not only the weight of an object, but also the amount of fluid it displaces. Analysis The buoyant force is essentially caused by the difference between the pressure at the top of the object, which acts downward, and the pressure at the bottom, which acts upward. Since the pressure at the bottom is always greater than at the top, every object submerged in a fluid necessarily feels an upward buoyant force. Let us use the equations of statics to analysis this phenomenon. Consider a completely submerged aluminum cylinder of length ! , and radius R, is oriented vertically in a fluid bath of depth L (See Figure 1). Figure 1 p 0 z = 0 z = L z x n T n B h 1 ! The top surface of the cylinder is a distance h 1 below the liquid surface. The force acting on the top surface due to hydrostatics is
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
(1) F top = A T t H n L A = - A T n T p
Image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern