The tank shown in the following figure is being filled by Pipes 1 and 2. The water level is to remain constant. Pipe 1: d¡ = 1 in. V1 = 2 ft/s Pipe 2: dz = 1.25 in. V2 = 1.4 ft/s Pipe 3: dz = 1.5 in. V3 = ?

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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The tank shown in the following figure is being filled by Pipes 1 and 2. The water level is to remain constant.
 
A tank of water is open at the top. The tank is filled from above by pipe 1 and pipe 2. Pipe 1 has diameter d1 = 1 in., and fills the tank with water at a velocity of V1 = 2 ft/s. Pipe 2 has diameter d2 = 1.25 in., and fills the tank with water at a velocity of V2 = 1.4 ft/s. Water empties from the bottom of the tank through pipe 3. Pipe 3 has diameter d3 = 1.5 in., and empties water from the tank at an unknown velocity V3.
(a) What is the volume flow rate (in ft3/s) of Pipe 1?
(b) What is the volume flow rate (in ft3/s) of Pipe 2?
(c) What is the volume flow rate (in ft3/s) of water leaving the tank at 3?
(d) What is the cross-sectional area (in ft2) of flow for Pipe 3?
(e) What is the average velocity (in ft/s) of the water leaving the tank?
The tank shown in the figure is being filled by Pipes 1 and 2. The water level is to remain constant.

**Pipe 1:**
- Diameter (\(d_1\)): 1 inch
- Velocity (\(V_1\)): 2 feet/second

**Pipe 2:**
- Diameter (\(d_2\)): 1.25 inches
- Velocity (\(V_2\)): 1.4 feet/second

**Pipe 3:**
- Diameter (\(d_3\)): 1.5 inches
- Velocity (\(V_3\)): ?

**Diagram Explanation:**

The image depicts a tank being filled with water from two upper pipes (Pipe 1 and Pipe 2) and draining through a lower outlet pipe (Pipe 3). The two input pipes are visually shown dispensing water into the tank, while Pipe 3 is allowing water to exit, maintaining a steady water level. The pipe dimensions and flow velocities are labeled next to each pipe for reference. The task involves determining the velocity (\(V_3\)) of water exiting through Pipe 3 such that the inflow and outflow rates maintain the constant water level.
Transcribed Image Text:The tank shown in the figure is being filled by Pipes 1 and 2. The water level is to remain constant. **Pipe 1:** - Diameter (\(d_1\)): 1 inch - Velocity (\(V_1\)): 2 feet/second **Pipe 2:** - Diameter (\(d_2\)): 1.25 inches - Velocity (\(V_2\)): 1.4 feet/second **Pipe 3:** - Diameter (\(d_3\)): 1.5 inches - Velocity (\(V_3\)): ? **Diagram Explanation:** The image depicts a tank being filled with water from two upper pipes (Pipe 1 and Pipe 2) and draining through a lower outlet pipe (Pipe 3). The two input pipes are visually shown dispensing water into the tank, while Pipe 3 is allowing water to exit, maintaining a steady water level. The pipe dimensions and flow velocities are labeled next to each pipe for reference. The task involves determining the velocity (\(V_3\)) of water exiting through Pipe 3 such that the inflow and outflow rates maintain the constant water level.
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