The sketch shows a cylindrical container of diameter 5m and height 3m. (a) If the container is initially empty and the nozzle at the bottom is closed, calculate the time (in hours) needed to fill it with water if the filling rate is Q=10 m/hr (hr=hour). (b) Once the container is full, the nozzle is opened. What is the velocity (in meters per second) of the resulting free jet assuming the fluid is inviscid? (no derivation is required) (c) What should be the diameter of the nozzle (in centimeters) needed to prevent overflowing? 5m 3m d
The sketch shows a cylindrical container of diameter 5m and height 3m. (a) If the container is initially empty and the nozzle at the bottom is closed, calculate the time (in hours) needed to fill it with water if the filling rate is Q=10 m/hr (hr=hour). (b) Once the container is full, the nozzle is opened. What is the velocity (in meters per second) of the resulting free jet assuming the fluid is inviscid? (no derivation is required) (c) What should be the diameter of the nozzle (in centimeters) needed to prevent overflowing? 5m 3m d
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The sketch shows a cylindrical container with a diameter of 5 meters and a height of 3 meters.
### Questions:
(a) If the container is initially empty and the nozzle at the bottom is closed, calculate the time (in hours) needed to fill it with water at a filling rate of \( Q = 10 \, \text{m}^3/\text{hr} \).
(b) Once the container is full, the nozzle is opened. What is the velocity (in meters per second) of the resulting free jet, assuming the fluid is inviscid? (No derivation is required.)
(c) What should be the diameter of the nozzle (in centimeters) needed to prevent overflowing?
### Explanation of the Diagram:
- The diagram shows a cylindrical container filled with water.
- The container has a diameter of 5 meters and a height of 3 meters.
- There is an inlet at the top marked with \( Q \), indicating the flow rate into the container.
- At the bottom, a nozzle with a diameter \( d \) is shown, which can be opened to release water.
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