An open cylindrical tank 4 ft in diameter and 6 ft deep is filled with water up to its rim and rotated about its axis at 60 rpm. (a) What is the height, h, of the paraboloid formed? Express the answer in ft. (b) How much water remained in the tank? Express the answer in ft³. (c) How much water is spilled? Express the answer in ft³.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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complete solution with fbd

 If not given, use standard values of the properties of water. 

Use g = 9.81 m/s^2= 32.2 ft/s^2.

PROBLEM 4
An open cylindrical tank 4 ft in diameter and 6 ft deep is filled with water up to its rim and rotated about its axis at
60 rpm.
(a) What is the height, h, of the paraboloid formed? Express the answer in ft.
(b) How much water remained in the tank? Express the answer in ft³.
(c) How much water is spilled? Express the answer in ft³.
(d) What is the maximum pressure (psf) at the bottom of the tank?
(e) What is the minimum pressure (psf) at the bottom of the tank?
Transcribed Image Text:PROBLEM 4 An open cylindrical tank 4 ft in diameter and 6 ft deep is filled with water up to its rim and rotated about its axis at 60 rpm. (a) What is the height, h, of the paraboloid formed? Express the answer in ft. (b) How much water remained in the tank? Express the answer in ft³. (c) How much water is spilled? Express the answer in ft³. (d) What is the maximum pressure (psf) at the bottom of the tank? (e) What is the minimum pressure (psf) at the bottom of the tank?
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