Question
1. Problem 5.50. An A level problem! To learn stay away from the text solutions and Chegg. Follow the suggestions below: i. Assume steady-state. Assume
1. Problem 5.50. An A level problem! To learn stay away from the text\ solutions and Chegg. Follow the suggestions below:\ i. Assume steady-state. Assume the water travelling from point 0 to\ point 1 is free. Also assume the flow splits so exactly half is to the\ left and half is to the right.\ ii. Regardless of how you approach this, you need to determine mass\ flow rate. Find an equation which works!\ iii. Use the CV shown in the drawing to the right. Its the water in a thin\ rectangle with top surface touching the bottom of the plate.\ iv. Complete a FBD of the CV (ie show all forces acting on the CV). You\ should ignore the weight of the water.\ v. There are 4 forces total (up, down, left, right). For the force of the\ upstream pressure, it turns out you should use the water gage\ pressure. Note that the upstream water is essentially a free jet.\ vi. Use the linear momentum equation to find the net force on the CV in the y-direction (ie vertical direction).\ vii. Combine your FBD with the results of your linear momentum equation to write an equation saying\ Forces up Forces down = net FCV.\ Use this equation to solve for V1.\ viii. Once you have V1 , you can solve for h using Bernoulli. (answer is 3.97 meters
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