Hi William,
Since I am not quite sure about your equation and where you want to put quantities, I threw together this example of calculating capillary rise in inches with a variety of input units using Units Discovery and Manipulate:
capillaryRise[gamma_, theta_, rho_, g_, r_] :=
2 gamma Cos[theta] / (rho g r)
Manipulate[
UnitConvert[
capillaryRise[gamma Quantity[1, (("Dynes")/("Centimeters"))],
theta \[Degree], Quantity[1, ("Grams")/("Centimeters")^3],
Quantity[9.8, ("Meters")/("Seconds")^2], r Quantity[1, "Microns"]],
"inch"], {gamma, 1, 80}, {theta, 0, 180}, {r, 1, 1000}]

Does this example help?