5.40 Air flows into the atmosphere from a nozzle and strikes a vertical plate as shown in Fig. P5.40. A horizontal force of 9 N is re- quired to hold the plate in place. Determine the reading on the pres- sure gage. Assume the flow to be incompressible and frictionless. p=? Area = 0.01 m² Area = 0.003 m² FIGURE P5.40 9N

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Problem Description:**

5.40 Air flows into the atmosphere from a nozzle and strikes a vertical plate as shown in Figure P5.40. A horizontal force of 9 N is required to hold the plate in place. Determine the reading on the pressure gauge. Assume the flow to be incompressible and frictionless.

**Figure Explanation:**

The figure shows a nozzle connected to a pipe, with air flowing through it into the atmosphere. The airflow strikes a vertical plate, which is held in place by a horizontal force of 9 N. 

- **Nozzle and Pipe Detail:**
  - The initial area through which the air flows is given as 0.01 m².
  - The area of the opening just before the air hits the plate is 0.003 m².

- **Pressure Notation:**
  - The pressure inside the nozzle is denoted as \( p = ? \).

**Objective:**

Calculate the reading on the pressure gauge that would be required to balance the horizontal force exerted on the plate by the airflow. The system assumes incompressible and frictionless flow dynamics.
Transcribed Image Text:**Problem Description:** 5.40 Air flows into the atmosphere from a nozzle and strikes a vertical plate as shown in Figure P5.40. A horizontal force of 9 N is required to hold the plate in place. Determine the reading on the pressure gauge. Assume the flow to be incompressible and frictionless. **Figure Explanation:** The figure shows a nozzle connected to a pipe, with air flowing through it into the atmosphere. The airflow strikes a vertical plate, which is held in place by a horizontal force of 9 N. - **Nozzle and Pipe Detail:** - The initial area through which the air flows is given as 0.01 m². - The area of the opening just before the air hits the plate is 0.003 m². - **Pressure Notation:** - The pressure inside the nozzle is denoted as \( p = ? \). **Objective:** Calculate the reading on the pressure gauge that would be required to balance the horizontal force exerted on the plate by the airflow. The system assumes incompressible and frictionless flow dynamics.
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