The following are the parameters at the output shaft where a sliding contact bearing is used:

Journal diameter $=50mm$; Bearing length $=265mm$; Coefficient offriction, $=0\mathrm{.}45$;

Speed: $1200rpm$; Radial load: $120N$; Viscosity of lubricant $=8\mathrm{.}5{10}^{-1}Pa.s$

Using Petroff's equation determine the following:

$($a$)$ The clearance, $c,$ required to maintain the given friction coefficient

$($b$)$ The power loss anticipated in such a bearing.

$[3$ Marks$]$

$[2$ Marks$]$

$($c$)$ The intervention towards reducing the anticipated power loss. Marks$]$