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Required information

An angular$-$contact, inner ring rotating, $02-$series ball bearing is required for an application in which the life requirement is $40$ kh at $\backslash (520\backslash$mathrm$\{$rev$\}/\backslash$mathrm$\{$min$\}\backslash ).$ The design radial load is $725$ lbf and the application factor is $1\mathrm{.}4.$ The other bearing on the shaft is to be a $03-$series cylindrical roller bearing with inner ring rotating and a $2235-$lbf radial load. The overall reliability $\backslash ($ R$=0\mathrm{.}950\backslash ).$ Reconsider your selections and meet this overall reliability goal.

What is the reliability for this bearing when selecting an $02-$series angular contact bearing with a $\backslash ($ C$\_\{10\}\backslash )$ value just above that calculated in part $\backslash ($ a $\backslash )?($Round the final answer to three decimal places.$)$

The reliability for this bearing is

c$10$ was $66\mathrm{.}31$kN