$3.$ A single worm gear has a pitch diameter of $2$ in and a pitch of $1$ in with coefficient of friction of $0\mathrm{.}21.$ The normal angle is $14\mathrm{.}5$ degrees with tangential force on gear of $1000$ lbs $.$ Find the separation force on gear and worm considering a left$-$hand thread.

A$.171\mathrm{.}23$ lbs

B$.271\mathrm{.}23$ lbs

C$.371\mathrm{.}23$ lbs

D$.471\mathrm{.}23$ lbs