Upward Fore of a Float in fresh water going around a circle

Question

A circle (tube) is submerged in a tank of water. There is a float on the outside of the circle (tube) trying to rise upward toward the surface . need to know an equation for the upward force of at different points around the circle.

Thanks

Answer 1

This problem is very much a buoyancy and fluid dynamics problem.

Total forces will come from buoyancy and mass of the object.

F_buoyant = density_fluid * gravity * volume_tube

F_object = mass_tube * gravity

Now, keep in mind that the forces will oppose each other.

(Floating up to the surface is indicated by positive force in the way I wrote the equation)

Therefore,

F_total = F_buoyant - F_object

I hope this helps, or provides a better insight to your problem. If you are looking for a more detailed solution/similar problems, I recommend looking into Fundamentals of Fluid Mechanics by Munson.