2. (10) Take the trapezoidal \"ditch\" we had in Problem 4, Lab 4. Assume the en

Question

2. (10) Take the trapezoidal "ditch" we had in Problem 4, Lab 4. Assume the entering volumetric flowrate as was given in that problem (500 ft/s). Assume that the trapezoidal ditch is now 500 m long (a new constraint). For each problem below, state all assumptions, calculus principles applied, and all problem development. (a) (4) Determine the rate of water elevation increase (dh/dt) when the water elevation in the ditch is 1.0 m and the exiting side of the ditch is releasing 30% of the flow rate entering. (b) (3) If the ditch is 10 m high, how long would it take for the ditch to fill starting at the initial water level of 1 m? (c) (3) If these conditions persisted for the next 12 hours, what release rate (percent of entering) would you recommend to prevent flooding the surrounding community? Recall: Entering vdot#500 ft3/s in the supplying rectangular open channel that was 20 ft wide and 8 ft deep. 30 o trapezoidal channol

Explanation / Answer

(a) Exiting side = 30%of 500

i.e exiting side =150ft/s

now, dh/dt=1/150

(b) In 1 m it will have 150ft of water

then in 10m it will have 150*10=1500ft

(c) In 1 second it is having 150ft of water then in 12 hours it will have

12*60*60*150=6480000ft

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