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Problem 7 Top View The above figure shows the top and side views of a cylindrical drum of radius R i = 0 . 0

Problem 7
Top View
The above figure shows the top and side views of a cylindrical drum of radius Ri=0.05[m] and height H=0.15[m] that is spinning at =10[radians ?s. The drum is inside an open cylindrical can of radius Ro=0.06[m]. The can is stationary and is concentric with the drum. The drum is surrounded by oil with viscosity 0.107Pa-s. In the gap between the side of the drum and the side of the can, the tangential velocity of the oil is given by:
v(r)=ViC(2-1)[Ror-rRo], for ,RirRo
where =RoRi,Vi is the oil velocity at the side wall of the drum, and r is the radial distance from the axis of rotation.
a) Estimate Vi, the speed of the oil at the side wall of the drum.
b) Determine the numerical value of the constant, C.
c) Estimate the torque required to spin the drum at =10[radianss]. You may neglect the effect of the oil on the top and bottom surfaces of the drum.
Problem 8
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