10 O 7:13 https://edugen.wileyplus.com/edugen/student/main.uni : Chapter 14, Pro

Question

10 O 7:13 https://edugen.wileyplus.com/edugen/student/main.uni : Chapter 14, Problem 052 Two streams merge to form a river. One stream has a width of 8.7 m, depth of 3.4 m, and current speed of 2.3 m/s. The other stream is 6.8 m wide and 3.4 m deep, and flows at 2.5 m/s. If the river has width 11.7 m and speed 2.8 m/s, what is its depth? Number Units the tolerance is +/-1 in the 2nd significant digit Click if you would like to Show Work for this question: Open Show Work LINK TO TEXT LINK TO SAMPLE PROBLEM Question Attempts: Unlimited SAVE FOR LATER SUBMIT ANSWER

Explanation / Answer

Here ,

Using equation of continuity

sum of flow rate of streams = stream rate of river

steam flow rate = velocity * depth * width

hence ,

8.7 * 3.4 * 2.3 + 6.8 * 3.4 * 2.5 = 11.7 * 2.8 * d

solving for d , depth of river

d = 3.84 m

the depth of the river is 3.84 m

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