A frustum-shaped body is rotating at a constant angular speed of 200 rad/s in a container filled with SAE oil at 20°C (-0.1 Pa.s) as shown in figure below. If thickness of oil film on all sides is 1.2 mm, determine power required to maintain its motion. Also determine reduction in required power input when oil temperature rises to 80°C ( mue =0.0078 Pa.s).

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A frustum-shaped body is rotating at a constant angular speed of 200 rad/s in a container filled with SAE oil at 20°C (-0.1 Pa.s) as shown in figure below. If thickness of oil film on all sides is 1.2 mm, determine power required to maintain its motion. Also determine reduction in required power input when oil temperature rises to 80°C ( mue =0.0078 Pa.s).

A vertical rectangular gate 3.5 m wide and 5 m high contains water on one side to a depth of 2.4 m and oil (specific gravity = 0.9) to a depth of 1.5 m on the other side.