3. (a) As shown in Figure P3(a), water flows in a rectangular channel which is 5.0 m wide. The upstream depth is 60 mm. The water surface rises by 40 mm as it passes over a portion where the channel bottom rises by 15 mm. Neglecting viscous effects, what is the volume flowrate Q? [Ans: 0.390 m³/s] 3. (b) Q |⁹ 9 V₁ = 10 m/s 60 mm Figure P3(a) As shown in Figure P3(b), water flows up a ramp with negligible viscous losses. The upstream depth and velocity are maintained at h₁ = 1 m and V₁ = 10 m/s, respectively. The ramp height is H = 2 m. Obtain an expression for the downstream depth h₂. Optional: Solve for possible values of the downstream depth h2. [Ans: 19.62h2 -80.38h² +100=0; h₂= 3.731 m, 1.366 m] 9 h₁ = 1 m 100 mm Figure P3(b) 15 mm h₂ H=2m V₂

3. (a) As shown in Figure P3(a), water flows in a rectangular channel which is 5.0 m wide. The upstream depth is 60 mm. The water surface rises by 40 mm as it passes over a portion where the channel bottom rises by 15 mm. Neglecting viscous effects, what is the volume flowrate Q? [Ans: 0.390 m³/s] 3. (b) Q |⁹ 9 V₁ = 10 m/s 60 mm Figure P3(a) As shown in Figure P3(b), water flows up a ramp with negligible viscous losses. The upstream depth and velocity are maintained at h₁ = 1 m and V₁ = 10 m/s, respectively. The ramp height is H = 2 m. Obtain an expression for the downstream depth h₂. Optional: Solve for possible values of the downstream depth h2. [Ans: 19.62h2 -80.38h² +100=0; h₂= 3.731 m, 1.366 m] 9 h₁ = 1 m 100 mm Figure P3(b) 15 mm h₂ H=2m V₂

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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