A cylindrical rod of radius R is positioned vertically in a large container of liquid and rotated at an angular velocity ω. Far from the rod the liquid air-interface is at z=h0. a. Determine the velocity and pressure in the liquid  b. Assuming the immersed length of the rod is L, calculate the torque that must be applied to maintain the steady state rotation. c. Neglecting surface tension, determine the height of the liquid-air interface, h(r)

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