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p0784 - u = 2 ft sec and √ gy = 5 ft sec Finally we can...

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886 CHAPTER 7. CONSERVATION OF ENERGY 7.84 Chapter 7, Problem 84 The waves travel upstream and downstream at velocities u up and u down , respectively, where u up = gy u and u down = gy + u Hence the flow speed, u , and wave speed, gy , are u = 1 2 ( u down u up ) and gy = 1 2 ( u down + u up ) Now, we are given u up = 3 ft/sec and u down = 7 ft/sec. Thus,
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Unformatted text preview: u = 2 ft / sec and √ gy = 5 ft / sec Finally, we can solve for the depth as follows. √ gy = 5 ft / sec = ⇒ y = 25 ft 2 / sec 2 g = 25 ft 2 / sec 2 32 . 174 ft / sec 2 = 0 . 777 ft ≈ 9 . 3 in Therefore we have y = 9 . 3 in and u = 2 ft / sec...
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