For the circular piston shown below $-$ The inside diameter of the cylinder chamber, $D_i=8\mathrm{.}054$ inches; the diameter of the piston, $D_p=8\mathrm{.}0$ inches; and the length, $L=16$ inches. Determine the velocity if a force of $12$ pounds is applied to the piston. Assume that the lubricant has an absolute viscosity, $=7\mathrm{.}19{10}^{-3}$ slugs$/$tt sec and a specific gravity of $0\mathrm{.}84.$

Lubricant

$1\mathrm{.}3f\frac{t}{sec}$

$3\mathrm{.}2f\frac{t}{sec}$

$5\mathrm{.}5f\frac{t}{sec}$

$7\mathrm{.}7f\frac{t}{sec}$