Answered: he weight of the 10 m diameter helium…

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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Question

The weight of the 10 m diameter helium balloon with 10 people are nearly 4863,15 N. The balloon is in hanging in the atmosphere where outside air temperature is at 20°C. Calculate the average helium temperature inside the balloon [K]. [NOTE: Take the atmospheric pressure as 90 kPa at that location]

Expert Solution

density calculation

buoyant force = weight of load

$b u o y a n t f o r c e = v o l u m e * (ρ_{a i r} - ρ_{h e l i u m}) * g ρ_{a i r} = 1.204 k g / m 3 v o l u m e = \frac{4}{3} π 5^{3} m^{3} t h u s b u o y a n t f o r c e = \frac{4}{3} π 5^{3} * (1.204 - ρ_{h e l i u m}) * 9.81 4863.15 = \frac{4}{3} π 5^{3} * (1.204 - ρ_{h e l i u m}) * 9.81 ρ_{h e l i u m} = 0.2572179 k g / m 3$

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