Partially Filled Cylindrical Tank Rotated at 90 rpm
Situation
An open cylindrical vessel 1.3 m in diameter and 2.1 m high is 2/3 full of water. If rotated about the vertical axis at a constant angular speed of 90 rpm,
1. Determine how high is the paraboloid formed of the water surface.
| A. 1.26 m | C. 2.46 m |
| B. 1.91 m | D. 1.35 m |
2. Determine the amount of water that will be spilled out.
| A. 140 L | C. 341 L |
| B. 152 L | D. 146 L |
3. What should have been the least height of the vessel so that no water is spilled out?
| A. 2.87 m | C. 3.15 m |
| B. 2.55 m | D. 2.36 m |