Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Quonset Hut Analysis in a Hurricane**

1. **Introduction:**
   A quonset hut is a lightweight, metal building with a semicircular cross-section. We consider a quonset hut with a radius of 2 m and a length of 10 m. With a hurricane atmosphere having a pressure of 90 kPa and a temperature of 30°C, wind blows at 60 m/s directly crosswise to the hut. We assume two-dimensional flow conditions along the length of the hut.

2. **Problem (a):**
   - **Scenario:** The hut is directly on the ground. A small hole exists, equating internal pressure with external pressure at the hole’s location.
   - **Question:** Will the building lift off the ground? The hut's mass is 15,000 kg, made of steel. Neglecting drag, calculate using \(p = \rho RT\).

   ![Diagram for Part a](https://via.placeholder.com/150)  
   *Diagram shows a quonset hut on the ground with a hole.*

3. **Problem (b):**
   - **Scenario:** A hole is placed on the hut shell at a specific angle.
   - **Question:** At what angle \(\theta\) should the hole be placed to ensure zero lift on the hut?

   ![Diagram for Part b](https://via.placeholder.com/150)  
   *Diagram shows a hut with a hole at angle \(\theta\).*

4. **Problem (c):**
   - **Scenario:** The hut has a floor and sits above the ground, creating a crawl space with atmospheric pressure. No holes in the hut.
   - **Question:** Will this setup cause the building to lift in the storm? Assume mass is still 15,000 kg.

   ![Diagram for Part c](https://via.placeholder.com/150)  
   *Diagram shows a hut with a crawl space and no holes.*

**Note**: Assumptions and calculations are necessary to determine lift forces and stability in the atmospheric conditions described.
Transcribed Image Text:**Quonset Hut Analysis in a Hurricane** 1. **Introduction:** A quonset hut is a lightweight, metal building with a semicircular cross-section. We consider a quonset hut with a radius of 2 m and a length of 10 m. With a hurricane atmosphere having a pressure of 90 kPa and a temperature of 30°C, wind blows at 60 m/s directly crosswise to the hut. We assume two-dimensional flow conditions along the length of the hut. 2. **Problem (a):** - **Scenario:** The hut is directly on the ground. A small hole exists, equating internal pressure with external pressure at the hole’s location. - **Question:** Will the building lift off the ground? The hut's mass is 15,000 kg, made of steel. Neglecting drag, calculate using \(p = \rho RT\). ![Diagram for Part a](https://via.placeholder.com/150) *Diagram shows a quonset hut on the ground with a hole.* 3. **Problem (b):** - **Scenario:** A hole is placed on the hut shell at a specific angle. - **Question:** At what angle \(\theta\) should the hole be placed to ensure zero lift on the hut? ![Diagram for Part b](https://via.placeholder.com/150) *Diagram shows a hut with a hole at angle \(\theta\).* 4. **Problem (c):** - **Scenario:** The hut has a floor and sits above the ground, creating a crawl space with atmospheric pressure. No holes in the hut. - **Question:** Will this setup cause the building to lift in the storm? Assume mass is still 15,000 kg. ![Diagram for Part c](https://via.placeholder.com/150) *Diagram shows a hut with a crawl space and no holes.* **Note**: Assumptions and calculations are necessary to determine lift forces and stability in the atmospheric conditions described.
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