A hole was shot in the Alaskan pipeline using a high$-$powered rifle. The discharge rate of oil from the pipeline was estimated at $140$ gal$/$min$.$ Estimate the hole diameter $($in inches$)$ assuming a pipeline pressure of $500$ psig.

Data for oil:

Specific gravity: $0\mathrm{.}93$

Viscosity: $0\mathrm{.}4$ centipoise