1. An open cylindrical tank 80 cm in diameter and 90 cm high is 2/3 full of water. If the tank is rotated about its axis at the center, a.) what is the maximum speed it can have without spilling? b.) what speed must it have so that there is no water within 15 cm. from the axis of rotation? At this speed, how much volume is spilled?
1. An open cylindrical tank 80 cm in diameter and 90 cm high is 2/3 full of water. If the tank is rotated about its axis at the center, a.) what is the maximum speed it can have without spilling? b.) what speed must it have so that there is no water within 15 cm. from the axis of rotation? At this speed, how much volume is spilled?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:1. An open cylindrical tank 80 cm in diameter and 90 cm high is 2/3 full of water. If the tank is
rotated about its axis at the center,
a.) what is the maximum speed it can have without spilling?
b.) what speed must it have so that there is no water within 15 cm. from the axis of rotation? At
this speed, how much volume is spilled?
Axis of Symmetry
- Paraboloid of Revolution
P(R, h)
Original liquid surface
vertex
R
B
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