Required information The helium-filled balloon in the image is tethered at 20°C and 1 atm with a string of negligible weight and drag. The diameter is 44 cm, and the balloon material weighs 0.2 N not including the helium. The helium pressure is 120 kPa. U

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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**Required Information**

The helium-filled balloon in the image is tethered at 20°C and 1 atm with a string of negligible weight and drag. The diameter is 44 cm, and the balloon material weighs 0.2 N not including the helium. The helium pressure is 120 kPa.

---

**Diagram Explanation:**

The diagram shows a helium-filled balloon tethered to a surface. The balloon is subject to an airstream labeled as having velocity \( U \). The tether forms an angle \( \theta \) with the vertical. The diagram indicates:

- \( U \): Airstream velocity directed horizontally.
- \( \theta \): Angle between the tether and the vertical, to be estimated.
- \( D \): Diameter of the balloon, 44 cm as specified.

---

**Problem Statement**

Estimate the tilt angle \( \theta \) if the airstream velocity \( U \) is 28 m/s. Assume a drag coefficient of 0.2.

\[ \text{_____ degrees} \]
Transcribed Image Text:**Required Information** The helium-filled balloon in the image is tethered at 20°C and 1 atm with a string of negligible weight and drag. The diameter is 44 cm, and the balloon material weighs 0.2 N not including the helium. The helium pressure is 120 kPa. --- **Diagram Explanation:** The diagram shows a helium-filled balloon tethered to a surface. The balloon is subject to an airstream labeled as having velocity \( U \). The tether forms an angle \( \theta \) with the vertical. The diagram indicates: - \( U \): Airstream velocity directed horizontally. - \( \theta \): Angle between the tether and the vertical, to be estimated. - \( D \): Diameter of the balloon, 44 cm as specified. --- **Problem Statement** Estimate the tilt angle \( \theta \) if the airstream velocity \( U \) is 28 m/s. Assume a drag coefficient of 0.2. \[ \text{_____ degrees} \]
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