Question

A metallic sphere of radius 2cm is completely immersed in water. Find the force of buoyancy on it. ​

Answer 1

The force of buoyancy is written as

F = ρgV

where ρ is the density of the fluid, g is the acceleration due to gravity and V is the volume of the sphere.

Here g = 10 m/s2

V = (4/3)πr3 and r = 2 cm = 0.02 m

so, V = 1.67 m3

and density ρ (for water) = 997 kg/m3

so, the buoyant force can simply be calculated by substituting the above values.

thus,

buoyant force, F = 16649.9 N