A 150m-wide (into the page) concrete dam is used to hold back a 25m-deep water reservoir as shown. The local atmospheric pressure is 100 kPa. The resultant hydrostatic force (FR), center of pressure (y,) on the dam face, and the portion of the dam face that is underwater (b) are design parameters depicted on the figure. Use this information to solve problems 8 through 10. Water 25 m FR 60° 60° Parameter b, the length of the underwater portion of the dam face, is nearest (a) 25 m (b) 31 m (c) 29 m (d)150 m (e) None of the above The magnitude of the resultant hydrostatic force (FR) is nearest (a) 9.6 x 10° N (b) 864 kN (c) 531,000 kN (d) 9.8 x 106 kips ERIBUTE - THANK YOU 3.2 x 107 N The depth (m) from the water surface to the pressure center (yp) is about

Water flows in a rectangular channel of width, w. In some cases, the water may suddenly increase in elevation as shown in the figure (from h1 to h2) through a highly disturbed region called a hydraulic jump. Assume the velocity is uniform at stations 1 and 2, and assume the pressures are distributed hydrostatically. (a) Using the conservation of mass and momentum, find the equation (cubic) for the downstream depth, h2, in terms of h1, V1, and g. (b) Using the Bernoulli equation and whatever other necessary equation(s), find the equation (cubic) for the downstream depth, h2, in terms of h1, V1, and g. In light of (a) and (b) above, does your answer to this part make sense? Explain.(c) For h1 = 1 m and V1 = 7:6 m/s, find the downstream height, h2, using whichever of the above approaches is the most correct. (Note that there are two valid solutions - explain.) What is the downstream velocity?