A glass ball of radius 1 cm is placed in a vertical cylindrical vessel of radius 10 cm filled with water and rotating at an angular velocity Ω about the axis of symmetry of the cylinder. After equilibration, the vessel, the water in the vessel and the ball rotate at the same angular velocity 20 rad/s, the ball being on the bottom at the vertical wall of rotating vessel. Find the force with which the ball acts on the vessel. Glass density is 2,5 g/cm^3, water density is 1 g/cm^3. Free fall acceleration is 10 m/s^2. Give your answer in milli- newtons and round it up to the whole.
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