The cylindrical tank shown with the dimensions given filled with water to a depth of 0.90m and is rotated about its vertical axis. 1. Determine the maximum angular speed that can applied to the tank so that the water will just reach the rim of the tank. 2. How far is the vertex of the paraboloid to the bottom of the tank in the event of having the water just touching the rim of the tank without water spilling. 3. Determine the maximum angular speed that can be applied so that the water surface intersects the bottom and exposes a circular part having a circumference of 0.628cm.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter15: Fluids
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D= 30 cm
h = 1.70 m
0.gm
The cylindrical tank shown with the dimensions given filled with water to a depth of 0.90m and is rotated about its vertical axis.
1. Determine the maximum angular speed that can applied to the tank so that the water will just reach the rim of the tank.
2. How far is the vertex of the paraboloid to the bottom of the tank in the event of having the water just touching the rim of the tank without water spilling.
3. Determine the maximum angular speed that can be applied so that the water surface intersects the bottom and exposes a circular part having a
circumference of 0.628cm.
Transcribed Image Text:D= 30 cm h = 1.70 m 0.gm The cylindrical tank shown with the dimensions given filled with water to a depth of 0.90m and is rotated about its vertical axis. 1. Determine the maximum angular speed that can applied to the tank so that the water will just reach the rim of the tank. 2. How far is the vertex of the paraboloid to the bottom of the tank in the event of having the water just touching the rim of the tank without water spilling. 3. Determine the maximum angular speed that can be applied so that the water surface intersects the bottom and exposes a circular part having a circumference of 0.628cm.
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