Question

A circular disc having a diameter of 125cm is immersed in water so that the distance of its perimeter measured vertically below the water surface varies between 60cm and 150cm. Find the total force due to the water acting on one side of the lamina, and the vertical distance of the centre of pressure below the surface.


Can someone please show me how to solve this problem? With clear step ?

Answer 1

Instead of doing the integral of pressure over the lower surface, try Archimedes.
Imagine a vertical shaft, elliptical in cross section, in the water ending at your angled disc.
The total force up on it will be the buoyancy or weight (mg) of water displaced.

Answer 2

U dint solve the question, that's is no mass