I am solving a mechanical engineering fluids problem and I've run into a weird unit conversion issue:
The density of water is $1000\ \mathrm{kg}/\mathrm{m}^3$. This is $62.43\ \mathrm{lb}/\mathrm{ft}^3$ calculation on wolframalpha
The flow rate is $1.5\ \mathrm{ft}^3/\mathrm{s}$ which is $0.0425\ \mathrm{m}^3/\mathrm{s}$ calculation on wolframalpha
The diameter of the nozzle is 4 inches which is $\pi\cdot (4/2)^2 = 12.6\ \mathrm{in}^2$ which is $0.008107\ \mathrm{m}^2$ or $0.08727\ \mathrm{ft}^2$.
When I take all of the quantities in meters, kg, and seconds, I get 0.7832 horsepower calculation on wolframalpha
When I take all of the quantities in feet, pounds, and seconds, I get 25.15 horsepower calculation on wolframalpha.
This makes no sense to me... Please help
I figured it out! The issue is that foot pounds of force aren't the same as lb*ft^2/s^3 https://en.wikipedia.org/wiki/Pound_(force)