Problem 2 A large parabolic antenna is designed against wind load. During a wind storm, the maximum wind-induced pressure (in lb/ft2) on the antenna Pis computed as P=CRV² where C is the drag coefficient, R is air mass density, V is maximum wind speed, and P is pressure. C, R and V are statistically independent lognormal variables with the following respective means and coefficient of variation respectively: C: 1.80 and 0.20 R: 0.0023 and 0.10 V: 120 and 0.45 a. What is the probability distribution of P and what are the distribu- tion's parameters? (3.186, 0.887) b. What is the probability that the maximum wind pressure will exceed 30 lb/ft2? (0.405)

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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Problem 2
A large parabolic antenna is designed against wind load. During a wind
storm, the maximum wind-induced pressure (in lb/ft2) on the antenna Pis
computed as
P=CRV²
where C is the drag coefficient, R is air mass density, V is maximum wind
speed, and P is pressure. C, R and V are statistically independent lognormal
variables with the following respective means and coefficient of variation
respectively:
C: 1.80 and 0.20
R: 0.0023 and 0.10
V: 120 and 0.45
a. What is the probability distribution of P and what are the distribu-
tion's parameters? (3.186, 0.887)
b. What is the probability that the maximum wind pressure will exceed
30 lb/ft2? (0.405)
Transcribed Image Text:Problem 2 A large parabolic antenna is designed against wind load. During a wind storm, the maximum wind-induced pressure (in lb/ft2) on the antenna Pis computed as P=CRV² where C is the drag coefficient, R is air mass density, V is maximum wind speed, and P is pressure. C, R and V are statistically independent lognormal variables with the following respective means and coefficient of variation respectively: C: 1.80 and 0.20 R: 0.0023 and 0.10 V: 120 and 0.45 a. What is the probability distribution of P and what are the distribu- tion's parameters? (3.186, 0.887) b. What is the probability that the maximum wind pressure will exceed 30 lb/ft2? (0.405)
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