Determine how much the liquid level at the center of the cylinder will drop as result of this rotational motion

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.121P: One side of the container has a 03-m square door that is hinged at its top edge. If the container is...
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A 30 cm diameter , 90 cm high vertical cylindrical container is partially filled with 60 cm high water. Now the cylinder is rotated at constant angular speed of 180 rpm. Determine how much the liquid level at the center of the cylinder will drop as result of this rotational motion.

a. 0.505 m
b. 0.396 m
c. 0.124 m
d. 0.325 m
With free body diagram
 
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