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Problem Statement: A heavy sphere attached to a string should hang at an angle 0 when immersed in a stream of velocity U. Part [A] - Derive an expression for 0 as a function of the sphere and flow properties. Part [B] - What is 0 if the sphere is steel (SG = 7.86) of diameter 2.5 cm and the flow is sea- level standard air at U = 35 m/s? Neglect the string drag. HINT: Focus on all the numbers that are in Red U D, Ps

Problem Statement: A heavy sphere attached to a string should hang at an angle 0 when immersed in a stream of velocity U. Part [A] - Derive an expression for 0 as a function of the sphere and flow properties. Part [B] - What is 0 if the sphere is steel (SG = 7.86) of diameter 2.5 cm and the flow is sea- level standard air at U = 35 m/s? Neglect the string drag. HINT: Focus on all the numbers that are in Red U D, Ps

Elements Of Electromagnetics
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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USE IMAGE BELOW to help you solve question for part Aand part B LOOK AT HINT
**Problem Statement:** A heavy sphere attached to a string should hang at an angle θ when immersed in a stream of velocity U. **Part [A]** - Derive an expression for θ as a function of the sphere and flow properties. **Part [B]** - What is θ if the sphere is steel (SG = 7.86) of diameter 2.5 cm and the flow is sea-level standard air at U = 35 m/s? Neglect the string drag. **HINT:** Focus on all the numbers that are in **Red** **Diagram Explanation:** The diagram shows a sphere attached to a string, hanging at an angle θ from the vertical. The sphere is immersed in a flow of air with velocity U, indicated by arrows pointing to the right. The sphere has properties D (diameter) and ρ_s (density). The string is attached to a fixed point on a horizontal surface. The angle θ is marked between the vertical line from the attachment point and the string itself. This setup is typically used to analyze the forces acting on the sphere due to the flow of air and to understand how these forces affect the angle at which the sphere will hang.
Transcribed Image Text:**Problem Statement:** A heavy sphere attached to a string should hang at an angle θ when immersed in a stream of velocity U. **Part [A]** - Derive an expression for θ as a function of the sphere and flow properties. **Part [B]** - What is θ if the sphere is steel (SG = 7.86) of diameter 2.5 cm and the flow is sea-level standard air at U = 35 m/s? Neglect the string drag. **HINT:** Focus on all the numbers that are in **Red** **Diagram Explanation:** The diagram shows a sphere attached to a string, hanging at an angle θ from the vertical. The sphere is immersed in a flow of air with velocity U, indicated by arrows pointing to the right. The sphere has properties D (diameter) and ρ_s (density). The string is attached to a fixed point on a horizontal surface. The angle θ is marked between the vertical line from the attachment point and the string itself. This setup is typically used to analyze the forces acting on the sphere due to the flow of air and to understand how these forces affect the angle at which the sphere will hang.
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