Cylindrical vessel with a fluid rotates around the axis of symmetry with an angular velocity of w. Normally on a same horizontal level, pressure is same but here the pressure on the bottom near the vessel wall is more than the pressure at the center. Here ω = 5 rad/s, ℓ = 1m, r = 0.1 mm, R = 2 m.
By the side wall of the vessel we tied a massless inextensible string of length ℓ. To this string we tie a balloon of radius r. During the rotation of the cylinder, the thread makes an angle a with the wall.
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What is the angle of inclination of the liquid to the horizontal at the points lying at a distance of r = 5 cm from the axis?
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The Buoyant force on the balloon is in direction
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The angle α is given by
T sin α = mω2 (R – l sin α)/α
T cos a = mg/α
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