The space between two $9-$in$.-$long concentric

cylinders is filled with glycerin $($viscosity$=$

$8\mathrm{.}5{10}^{-3}lb*\frac{s}{f}{t}^2).$ The inner cylinder has a

radius of $4$ in $.$ and the gap width between

cylinders is $0\mathrm{.}1$ in $.$ Determine $($a$)$ the torque

and $($b$)$ the power required to rotate the

inner cylinder at $180re\frac{v}{m}in.$ The outer

cylinder is fixed. Assume the velocity

distribution in the gap to be linear.

$($a$)$

$f{t}^{*}lb$

$($b$)$

i

$f{t}^{*}l\frac{b}{s}$