Part 3: Conversion of equations: The following two equations were taken from lit
ID: 285074 • Letter: P
Question
Part 3: Conversion of equations: The following two equations were taken from literature. The units of the equation quantities are labeled 'old', convert the equations to use 'new' units (2 points each). Procedure: To do this make sure to a) check the equations for dimensional and unitary homogeneity. b if an equation is not homogencous change the appropriate constants such that the equation is correct when using the 'new' units-see appendix A.3 and the modified equation should be in exactly the same form as the original, with only the appropriate constant values changed. In this case the constants should have the same number of significant figures. Also check your results by substituting values as described in appendix A.3 Hints: Instructions for equation comversion are given in section A.3 (p. 537). Conversion factors are from table A.2. Quantities in brackets 1 Ah m Ar m SymbolDefinition old units new units ground water flow rate m ld ftls width of aquifer saturated thickness Kh bydraulic conduecivity Ah change in water table elevation Ax distance between elevation measurementsExplanation / Answer
1. Q = w.H.Kh. h / x .
Old units of Q = m3/d
Q = w.H.Kh. h / x = w m. H m. Kh m/d. h m / x m = m3/d
New unit of Q = ft3 /s.
Q = w.H.Kh. h / x = w ft. H ft. Kh ft/s. h ft / x ft = ft3 /s.
In the old units Kh was represented as m/d. But in the new units Kh is now in ft/s. Old units of Q = m3/d. New unit of Q = ft3 /s.