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
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
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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![**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.
\[ \text{_____ degrees} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e05d2b6-8012-405f-a094-7d95f2ffbd8c%2F1a858a40-76a3-419e-814c-28e010384321%2F9cp9asj_processed.jpeg&w=3840&q=75)
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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