Determine the magnitude and direction of the anchoring force needed to hold the horizontal elbow and nozzle combination show in place. At section (2), water discharges into the atmospheric at 100 kPa and the pressure at location (1) is 100 kPa gauge. 160 mm V₂

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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**Problem 5.32: (Munson, et al. 5th ed.)**

Determine the magnitude and direction of the anchoring force needed to hold the horizontal elbow and nozzle combination shown in place. At section (2), water discharges into the atmosphere at 100 kPa and the pressure at location (1) is 100 kPa gauge.

**Diagram Description:**

- The diagram illustrates a pipe assembly consisting of a horizontal elbow and nozzle, where water enters at section (1) and exits at section (2).
- Section (1) is labeled where water enters the system:
  - Water velocity at section (1) is \( V_1 = 2 \, \text{m/s} \).
  - Pressure at section (1) is \( p_1 = 100 \, \text{kPa} \).
- The elbow directs the flow horizontally upward, terminating at a nozzle at section (2).
- Section (2) is the outlet of the nozzle where water discharges into the atmosphere:
  - The diameter of the nozzle exit is smaller than the pipe at section (1), creating a constriction.
  - The length from section (1) to the elbow bend is 300 mm.
  - The length from the elbow to section (2) is 160 mm.
- Coordinate axes are shown, where \( x \) is horizontal and \( y \) is vertical, consistent with typical engineering diagrams. 

The task is to calculate the necessary anchoring force that keeps this setup stable under the given conditions, considering the change in momentum and forces at the entry and exit points.
Transcribed Image Text:**Problem 5.32: (Munson, et al. 5th ed.)** Determine the magnitude and direction of the anchoring force needed to hold the horizontal elbow and nozzle combination shown in place. At section (2), water discharges into the atmosphere at 100 kPa and the pressure at location (1) is 100 kPa gauge. **Diagram Description:** - The diagram illustrates a pipe assembly consisting of a horizontal elbow and nozzle, where water enters at section (1) and exits at section (2). - Section (1) is labeled where water enters the system: - Water velocity at section (1) is \( V_1 = 2 \, \text{m/s} \). - Pressure at section (1) is \( p_1 = 100 \, \text{kPa} \). - The elbow directs the flow horizontally upward, terminating at a nozzle at section (2). - Section (2) is the outlet of the nozzle where water discharges into the atmosphere: - The diameter of the nozzle exit is smaller than the pipe at section (1), creating a constriction. - The length from section (1) to the elbow bend is 300 mm. - The length from the elbow to section (2) is 160 mm. - Coordinate axes are shown, where \( x \) is horizontal and \( y \) is vertical, consistent with typical engineering diagrams. The task is to calculate the necessary anchoring force that keeps this setup stable under the given conditions, considering the change in momentum and forces at the entry and exit points.
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