A closed vertical cylindrical vessel, 1.80m in diameter, 3m high is 8/10 full of oil (SG=0.85) and revolved about its vertical axis with a constant angular speed. The air inside the vessel is 135 kPa. a. Detemine the angular speed in radian per second necessary to set the vertex of the liquid surface 0.60m above the bottom of the vessel. b. What is the maximum pressure at the bottom of the tank during rotation? c. If the angular speed in rev/min is 128.71, determine the diameter of the portion free of liquid at the vessel in cm. d. If the angular speed is 200 rev/min, determine the area of the portion free of liquid at the bottom of the vessel.

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
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A closed vertical cylindrical vessel, 1.80m in diameter, 3m high is 8/10 full of oil (SG=0.85) and
revolved about its vertical axis with a constant angular speed. The air inside the vessel is 135 kPa.
a. Determine the angular speed in radian per second necessary to set the vertex of the liquid surface
0.60m above the bottom of the vessel.
b. What is the maximum pressure at the bottom of the tank during rotation?
c. If the angular speed in rev/min is 128.71, determine the diameter of the portion free of liquid at the
vessel in cm.
d. If the angular speed is 200 rev/min, determine the area of the portion free of liquid at the bottom of
the vessel.
Transcribed Image Text:A closed vertical cylindrical vessel, 1.80m in diameter, 3m high is 8/10 full of oil (SG=0.85) and revolved about its vertical axis with a constant angular speed. The air inside the vessel is 135 kPa. a. Determine the angular speed in radian per second necessary to set the vertex of the liquid surface 0.60m above the bottom of the vessel. b. What is the maximum pressure at the bottom of the tank during rotation? c. If the angular speed in rev/min is 128.71, determine the diameter of the portion free of liquid at the vessel in cm. d. If the angular speed is 200 rev/min, determine the area of the portion free of liquid at the bottom of the vessel.
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