workshop 2 problem 2 - -1 Problem Lake A round lake of...

Info icon This preview shows pages 1–2. Sign up to view the full content.

1 Problem. Lake A round lake of diameter d is fed by a river and drained by seepage. The normal flow rate of the river is Q in = 10 4 gal / min and is equal to the rate of seepage. Thus, the water level in the lake is constant. Should the lake level rise, the water from the lake flows through a triangular notch in a retaining wall and into a flood plain. Normally the water level matches the bottom of the triangular notch. !"#$% ’$($’ )* ’"+$ ), *-%."’’/ "# #0$ 1-##-. -2 #0$ #%)"*34’"% *-#50 )* #0$ 6".7 8)$9 -2 6". 2%-. 2’--6 :’")* Suddenly the flow rate of the river increases to 1.5 times the normal rate. The extra water flows out through the triangular notch at a rate determined by the height of the lake above the bottom of the notch. Q notch = αh 5 / 2 (in gal/min) a) What are the units of α if h is measured in meters? Solution. Since Q notch has units gal/min, α must have units of gal min · m 5 / 2 . b) Suppose that the value of α (without respect to units) is 5000. If the flow rate persists indefinitely at 1.5 times the normal rate, to what steady state level,
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern