A $30$ mm Conrad$-$type deep$-$groove ball bearing is under a combined load of $4\mathrm{.}5$ kN radially and $1\mathrm{.}7$ kN axially at a speed of $600$ rpm $.$ The bearing carries a heavy shock load with a reliability of a $\backslash (94\backslash \%\backslash )$ survival rate. If the outer ring is rotating,

Determine: expected life of the bearing in hours

Use: Table $10.4\backslash$& $10\mathrm{.}6,$ Fig. $10\mathrm{.}26$