Unit Conversion (Fluid Mechanics)

[musicmar]

Homework Statement

Calculate the density in lbm/ft³ with the given formula: ρ=p/RT where p=35 psi, R=1716 ft-lbf/slug-°R, and T=100°F.

We have access to a table with basically any unit conversion we would need.

The Attempt at a Solution

100°F=37.78°C=310.9278K

(35 lb/in²)(144 in²/1 ft²)(1 slug-°R/1716 ft-lbf)(32.17 lbm/1 slug)(1.8K/1°R)(1 lbf/32.17 lbm-ft/s²2)(1/310.9278K)

I didn't crunch the numbers yet, because I know I haven't finished. Right now, this gives me an answer in lb-s²/ft⁴

Any help in getting this into lbm/ft³ would be greatly appreciated.
Thank you.

 

[LawrenceC]

Multiply by g which is 32.2 ft/sec^2.