Hey guys, here is an interesting physics problem I found in a textbook. How would you guys solve it?
Here is the picture that goes with the problem:
http://pbrd.co/1m4FPzc
The problem:
A sealed cauldron with water inside is heated by fire and steam is generated. The steam causes the cauldron to spin at high rates. The steam escapes through two spouts as shown in the diagram. The container has a radius of 0.20 m and a mass of 10 kg. The 2 spouts have an insignificant mass, but they extend 0.10 m above the surface of the container. The cauldron is hollow. Disregard the moment of inertia of the steam inside.
The questions:
What is the moment of inertia of the container?
If the pressure inside reaches 1.5 atm, what is the angular accel? (Area of spouts to be circles w/ radius 0.010 m.)
How much energy is inside the container?
If the energy was converted to rotational kinetic energy, what would be the angular velocity?
Explain the full energy cycle of the cauldron (start at where energy originates, explain transformations of energy, and explain what happens after the fire is put out.)