Check your arithmetic. I don't get your answer or the book's answer, either.Carrie said:
I think I might have messed up putting it in my calculator, because now I'm getting 20.5 N.SteamKing said:
Closer, but still not what I calculated.Carrie said:
No, the sketch is very helpful here. You want to find the volume of part of a sphere, what is called a spherical cap, like this (the blue region would be submerged):Carrie said:
Buoyant force is the upward force exerted on an object immersed in a fluid, such as water or air, due to the displacement of the fluid by the object.
Buoyant force on a sphere is equal to the weight of the fluid displaced by the sphere, and it acts in an upward direction through the center of mass of the sphere.
The buoyant force on a sphere is affected by the volume of the sphere, the density of the fluid, and the acceleration due to gravity. The shape and surface area of the sphere also play a role.
The buoyant force on a sphere can be calculated using the formula Fb=ρVg, where ρ is the density of the fluid, V is the volume of the sphere, and g is the acceleration due to gravity.
The buoyant force acting on a sphere helps to determine whether the sphere will sink or float in a fluid. It also plays a role in determining the stability and equilibrium of objects floating in a fluid.