A cylindrical tank with hemispherical ends is required to hold $150$ psi of pressurized air at room temperature. The pressure cycles from zero to maximum. The steel has $\backslash ($ S$\_\{$u t$\}=900\backslash$mathrm$\{$MPa$\}\backslash ).$

Assume the machine$-$finished surface and reliability of $\backslash (99\mathrm{.}999\backslash \%\backslash ).$

Part A

Determine the infinite$-$life fatigue safety factor if the tank diameter is $0\mathrm{.}5$ m $,$ the wall thickness is $1$ mm $,$ and its length is $1$ m $.$

Express your answer to three significant figures.

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N$\_\{$f$\}=$

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