Part 4: UNDERGRADUATE STUDENTS ONLY: The following two equations were taken from

Question

Part 4: UNDERGRADUATE STUDENTS ONLY: The following two equations were taken from literature. The units of the equation quantities are labeled 'old, convert the equations to use'new uni 4 points each) Procedure: To do this make sure to a) check the equations for dimensional and unitary homogeneity If an equation is not homogeneous change the appropriate constants such that the equation when using the 'new' form as the original, with only the appropriate constant is correct units-see appendix A.3 and the modified equation should be in exactly the same values changed. In this case the constants Hints:Inst A.2. ructions for equation conversion are given in section A.3. Conversion factors are from table 484 Ami2 Rin 0.5. Dhr + 0.6·T, hr 3.Qft3/s = old unitsnew units Symbol Definition ft'ls m'/s Flood peak discharge mi Drainage area Volume of runoff per unit area Storm duration in hr hr R. hr T Time of concentration hr

Explanation / Answer

Q = (484 x A x R)/(0.5 D + 0.6Tc)

Q(0.3048)3m3/s = (484/1,000,000 x A.km2 x R.mm x 25.4)/ (0.5 D.hr + 0.6Tc.hr)

0.0283 Q.m3/s = (0.0122 x A.km2 x R.mm)/ (0.5 D.hr + 0.6Tc.hr)

Q.m3/s = (0.4344) (A.km2 x R.mm)/ (0.5 D.hr + 0.6Tc.hr)

Q.m3/s = (0.4) (A.km2 x R.mm)/ (0.5 D.hr + 0.6Tc.hr)

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