The discussion revolves around calculating the buoyancy force and tension in a cable for a spherical undersea research chamber with a diameter of 6.0 m and a mass of 75200 kg. Participants are exploring the principles of buoyancy and forces acting on submerged objects.
Participants are actively discussing the calculations and equations involved, with some providing formulas for buoyancy. There is acknowledgment of potential errors in the original poster's calculations, and a few participants are verifying the correctness of the equations used. Multiple interpretations of the problem are being explored, particularly regarding the radius and the forces acting on the chamber.
There is a mention of the chamber's behavior when empty versus full, raising questions about its buoyancy characteristics. Participants are also discussing the need for clarity on the radius calculation and the implications of the chamber's mass.
What in am doing wrong? I assumed it's just the volume of the tank and then you find the weight of the water displaced. It's not working. I made sure that the diameter was changed into a radius for the volume of the sphere. Also as a sanity note, if you have a tank that sinks when it's empty it should still sink if it's full of air right?
Yeah which is why I hate it when I get these problems wrong.:) I know that has to be the answer. I can't figure out why I am not getting the right number. Here is what I am getting. 1108353.888 Newtons.
<br /> <br /> Dex why are you writing hieroglyphs for very simple formulas <img src="https://www.physicsforums.com/styles/physicsforums/xenforo/smilies/oldschool/bugeye.gif" class="smilie" loading="lazy" alt=":bugeye:" title="Bug Eye :bugeye:" data-shortname=":bugeye:" /> .<br /> <br /> Adam, F_B = \frac{4}{3}\pi r^3\rho_{w}g = F_B = \frac{4}{3}\pi (6m)^3(1000kg/m^3)(9.8m/s^2) = 8.87 * 10^6 N. <br /> Right?dextercioby said:
Yeah. Your equation is right. Though don't you need to divide the diamter by two to get the radius? I checked neither of those two possible solutions are correct.
