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?
When at rest, the surface of mass of liquid is horizontal at PQ as shown in the figure. When this mass of liquid is rotated about a vertical axis at constant angular velocity ω radian per second, it will assume the surface ABC which is parabolic. Every particle is subjected to centripetal force or centrifugal force CF = mω2x which produces centripetal acceleration towards the center of rotation. Other forces that acts are gravity force W = mg and normal force N.