Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
5. The large tank shown in the figure is filled with water to a height of ho. Water exits the 5-cm- diameter pipe at A and is collected in a tub at B. The tub is 2 m below the pipe exit. You may assume no viscous losses. Po ho A Control volume for part b fh B 2 m Figure for problem 5. 1. (a) It is required that the tub be filled at a volume flow rate of 0.028 m³/s. At what height, ho, must the tank be filled to achieve this flow rate if po, - 50 kPa? (b) Using the control volume shown in the figure, show that the velocity in the horizontal direction remains constant as the water flows from A to B. (Hint: there is no force in the x-direction acting on the control volume.) (e) Find the angle, 8, at which the stream hits the tub.

5. The large tank shown in the figure is filled with water to a height of ho. Water exits the 5-cm- diameter pipe at A and is collected in a tub at B. The tub is 2 m below the pipe exit. You may assume no viscous losses. Po ho A Control volume for part b fh B 2 m Figure for problem 5. 1. (a) It is required that the tub be filled at a volume flow rate of 0.028 m³/s. At what height, ho, must the tank be filled to achieve this flow rate if po, - 50 kPa? (b) Using the control volume shown in the figure, show that the velocity in the horizontal direction remains constant as the water flows from A to B. (Hint: there is no force in the x-direction acting on the control volume.) (e) Find the angle, 8, at which the stream hits the tub.

icon
Related questions
Question
### Fluid Dynamics Problem: Tank and Tub Flow #### Problem Statement: The large tank shown in the figure is filled with water to a height of \( h_0 \). Water exits the 5-cm-diameter pipe at A and is collected in a tub at B. The tub is 2 m below the pipe exit. You may assume no viscous losses. #### Diagram Description: - **Figure for Problem 5:** - A large tank with an indicated pressure of \( P_0 \) is shown. - The tank is filled with water up to a height \( h_0 \). - Water flows through a 5-cm diameter pipe starting at point A. - The flow exits the pipe and is directed into a tub located at point B, which is 2 m below point A. - A control volume for analyzing flow is indicated, focusing from point A to point B. #### Questions: 1. **(a)** It is required that the tub be filled at a volume flow rate of 0.028 m\(^3\)/s. At what height, \( h_0 \), must the tank be filled to achieve this flow rate if \( P_0 \) = 50 kPa? 2. **(b)** Using the control volume shown in the figure, show that the velocity in the horizontal direction remains constant as the water flows from A to B. *Hint: there is no force in the x-direction acting on the control volume.* 3. **(c)** Find the angle, \( \theta \), at which the stream hits the tub. - **Figure for Part c:** - Displays the stream exiting the pipe and hitting the tub at point B. - The angle \( \theta \) between the horizontal axis and the water stream entering the tub is marked. #### Graphs/Diagrams Explanation: - The diagrams provide a visual representation of the tank, pipe flow, and tub arrangement. - The control volume for part b is dotted and spans the flow from the pipe exit to where it enters the tub. - In part c, the angle \( \theta \) where the stream hits the tub is to be determined. Here, the trajectory of water flow from the pipe exit to the tub is highlighted. #### Analysis: To solve the given problems, principles from fluid mechanics such as Bernoulli’s equation and continuity equation will be applied. The given
Transcribed Image Text:### Fluid Dynamics Problem: Tank and Tub Flow #### Problem Statement: The large tank shown in the figure is filled with water to a height of \( h_0 \). Water exits the 5-cm-diameter pipe at A and is collected in a tub at B. The tub is 2 m below the pipe exit. You may assume no viscous losses. #### Diagram Description: - **Figure for Problem 5:** - A large tank with an indicated pressure of \( P_0 \) is shown. - The tank is filled with water up to a height \( h_0 \). - Water flows through a 5-cm diameter pipe starting at point A. - The flow exits the pipe and is directed into a tub located at point B, which is 2 m below point A. - A control volume for analyzing flow is indicated, focusing from point A to point B. #### Questions: 1. **(a)** It is required that the tub be filled at a volume flow rate of 0.028 m\(^3\)/s. At what height, \( h_0 \), must the tank be filled to achieve this flow rate if \( P_0 \) = 50 kPa? 2. **(b)** Using the control volume shown in the figure, show that the velocity in the horizontal direction remains constant as the water flows from A to B. *Hint: there is no force in the x-direction acting on the control volume.* 3. **(c)** Find the angle, \( \theta \), at which the stream hits the tub. - **Figure for Part c:** - Displays the stream exiting the pipe and hitting the tub at point B. - The angle \( \theta \) between the horizontal axis and the water stream entering the tub is marked. #### Graphs/Diagrams Explanation: - The diagrams provide a visual representation of the tank, pipe flow, and tub arrangement. - The control volume for part b is dotted and spans the flow from the pipe exit to where it enters the tub. - In part c, the angle \( \theta \) where the stream hits the tub is to be determined. Here, the trajectory of water flow from the pipe exit to the tub is highlighted. #### Analysis: To solve the given problems, principles from fluid mechanics such as Bernoulli’s equation and continuity equation will be applied. The given
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer