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A long cylinder ( of radius R and length L ) is immersed in a large pool of liquid and is rotated at a constant

A long cylinder (of radius R and length L) is immersed in a large pool of liquid and is
rotated at a constant angular velocity, . Far from the cylinder the liquid is static (stil).
a) Find the velocity distribution of the liquid
b) Find the torque that must be applied to the cylinder to keep it rotating.

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