Question

A thin spherical copper shell of diameter 0.3 m and thickness 1.6 mm is just full of water at atmospheric pressure. Find how much the internal pressure will be increased by pumping in 25,000 mm of water. E = 100,000 N/mm², v = 0.286, K = 2200 N/mm².

Answer 1

The question requires the use of Bernoulli's equation in fluid dynamics to calculate the exit speed of water in a pipe system.

Step-by-step explanation:

The question involves applying principles of fluid dynamics to calculate the speed at which water leaves a pipe when being pumped to a higher level.

We'll need to use the conservation of energy, specifically Bernoulli's equation, to relate the pressures, velocities, and heights at two points in the system. There's no need to involve the material properties like Young's modulus (E), Poisson's ratio (v), or bulk modulus (K) as specified in the problem since these pertain to the solid mechanics of the copper shell and are not relevant to the fluid flow through the pipe.