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Question
An open cylindrical tank 100 cm diameter and 1.5 m high contains water upto 1.2 m depth. If the cylinder is rotated about its vertical axis, what is the maximum angular velocity (in radians per second that can be attained without spilling any water? (Take g = 10 m/s2)
A.
7.55
B.
6.92
C.
7.15
D.
6.50
Answer ( Option B)

6.92

Solution

In forced vortex motion
 
Given, Dia = 1 m
As shown in the figure above if no water is spilled, the rise in water is equal to the fall of water. The equation for any point on the paraboloid

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