Flow Section 5.2.1 Linear Momentum-Uniform (also see Lab Problems 5.98, 5.99, 5.100, and 5.101) 5.22 Exhaust (assumed to have the properties of standard air) leaves the 4-ft-diameter chimney shown in Video V5.4 and Fig. P5.22 with a speed of 6 ft/s. Because of the wind, after a few di- ameters downstream the exhaust flows in a horizontal direction with the speed of the wind, 15 ft/s. Determine the horizontal component of the force that the blowing wind puts on the ex- haust gases. 15 ft/s FIGURE P5.22 6 ft/s 15 ft/s -4 ft

Structural Analysis
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Chapter2: Loads On Structures
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**Section 5.2.1 Linear Momentum—Uniform Flow**

(Refer to Lab Problems 5.98, 5.99, 5.100, and 5.101)

**Problem 5.22**  
Exhaust (assumed to have the properties of standard air) leaves a 4-ft-diameter chimney at a speed of 6 ft/s. As shown in Video V5.4 and Fig. P5.22, due to the wind, after a few diameters downstream, the exhaust flows horizontally with the wind at a speed of 15 ft/s. Determine the horizontal component of the force applied by the wind on the exhaust gases.

---

**Figure P5.22 Explanation**:

- The diagram illustrates a cylindrical chimney with exhaust gases flowing out.
- The chimney has a diameter of 4 feet.
- The exhaust exits the chimney vertically at a speed of 6 ft/s.
- After interacting with wind, the exhaust flows horizontally at 15 ft/s.
- The wind speed is also 15 ft/s in the horizontal direction.
- Arrows depict the velocity of the exhaust and the wind.
  
The task is to determine the horizontal force component exerted by the wind on the exhaust gases.
Transcribed Image Text:**Section 5.2.1 Linear Momentum—Uniform Flow** (Refer to Lab Problems 5.98, 5.99, 5.100, and 5.101) **Problem 5.22** Exhaust (assumed to have the properties of standard air) leaves a 4-ft-diameter chimney at a speed of 6 ft/s. As shown in Video V5.4 and Fig. P5.22, due to the wind, after a few diameters downstream, the exhaust flows horizontally with the wind at a speed of 15 ft/s. Determine the horizontal component of the force applied by the wind on the exhaust gases. --- **Figure P5.22 Explanation**: - The diagram illustrates a cylindrical chimney with exhaust gases flowing out. - The chimney has a diameter of 4 feet. - The exhaust exits the chimney vertically at a speed of 6 ft/s. - After interacting with wind, the exhaust flows horizontally at 15 ft/s. - The wind speed is also 15 ft/s in the horizontal direction. - Arrows depict the velocity of the exhaust and the wind. The task is to determine the horizontal force component exerted by the wind on the exhaust gases.
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