6.1: Units Related to Water
- Page ID
- 11952
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)The following unit conversions are directly related to sizing and analyzing rainwater harvesting systems in terms of length, area, volume, mass, pressure, and general water conversions.
Length
- \(1\; m = 3.28\; ft = 100 \;cm\)
- \(1 \;ft = 12\; in = 30.48\; cm\)
- \(1\; mi = 5,280\; ft = 1.61 \;km\)
Area
- \(Rectangle: length * width\)
- \(Circle: π * r^2\)
- \(1\; m^2 = 10.765 \;ft^2 \)
- \(1\; km^2 = 0.386\; mi^2 = 1,000,000\; m^2 \)
- \(1\; hectare = 10,000\; m^2 = .01\; km^2 = 2.47\; acres \)
- \(1\; mi^2 = 2.6 \;km^2 = 640 \;acres \)
- \(1\; acre = 4,047 \;m^2 = 43,560 \;ft^2 \;(66\; ft * 660 \;ft) = 1/640\; mi^2 ≈ 40% \;of\; a \;hectare\)
Volume
- \(Area * depth \)
- \(Rectangular\;Prism: Length * Width * Depth \)
- \(Cylinder: π * r^2 * depth \)
- \(1 \;L = 0.264\; gal = 1000\; cm^3 = 1000 \;ml \)
- \(1 \;m^3 = 1000 \;L = 35.3\; ft^3 = 264 \;gal \)
- \(1\; ft^3 (cf) = 28.32\; L = 7.482\; gal \)
- \(1\; gal = 3.785\; L = 4 \;qt = 16\; cups = 128\; fl. oz. \)
- \(1 \;acre-foot = 43,560\; ft^3 = 325,851 \;gal\)
Mass
- \(1 \;kg = 1,000 \;g = 2.205\; lb\)
- \(1\; lb = 453.6\; g = 16\;oz\)
- \(1\; US \;short \;ton = 907\; kg = 2,000\; lb\)
- \(1 \;metric\; tonne = 1,000\; kg = 2,205\; lb\)
Pressure
- \(1MPa = 10\; bar = 9.87 \;atm = 145 \;psi \)
- See water pressure for more
Water (at 4° C and 1 atm)
- \(Density: 1 \;\frac{g}{ml} = 1 \;\frac{g}{cm^3} = 1\; \frac{kg}{L} = 1,000\; \frac{kg}{m^3} \)
- \(Density: 62.4\; \frac{lb}{ft^3} = 8.34\; \frac{lb}{gal} \)
- \(Pressure: 0.4335 \;psi\; for\; every\; vertical\; foot \;of \;water\)