Consider a $50-cm-$long journal bearing that is lubricated with oil whose viscosity is $0\mathrm{.}1k\frac{g}{m}*s$ at $20C$ at the beginning of operation and

$0\mathrm{.}008k\frac{g}{m}*s$ at the anticipated steady operating temperature of $80C.$ The diameter of the shaft is $8$ cm $,$ and the average gap

between the shaft and the journal is $0\mathrm{.}08$ cm $.$ Determine the torque needed to overcome the bearing friction initially and during steady

operation when the shaft is rotated at $1,500rpm.($Round the final answers to three decimal places.$)$

The torque required to overcome the bearing friction is

$N-m.$

The torque required during steady operation is

$N*m.$