ASE 201 - Assignment due Nov 12

ASE 201 - Assignment due Nov 12 - TOPIC: Functions & Using...

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READING: 5.1-2 WRITTEN: 5.1, 2, 27 ANALYSIS: In analyzing experimental data, we often wish to fit a curve to data which may contain experimental error. We can use the method of Least Squares to fit the "Best" straight line to the set of data. Given a set of N data values: { (x i , y i ) } The equations for finding m & b for the "best straight line y = mx + b are given by : 2 2 AB NC AC BD m and b A ND A ND - - = = - - where 2 1 1 1 1 , , , N N N N i i i i i i i i i A x B y C x y D x = = = = = = = = APPLICATION : A 1:32 model of a F-117 Nighthawk was placed in a wind tunnel whose free stream velocity was 50ft/s and the coefficient of lift C l was measured as a function of the angle of attack. This experimental data is then fit with a straight line which can be used to predict C l for other angles of attack. (the coefficient of lift, C l , is a non dimensionalized variable. C l = L/ (.5 ρ v A) where ρ is the density of air, v is the free stream velocity of the air in the wind tunnel
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This note was uploaded on 09/16/2011 for the course ASE 201 taught by Professor Hayes during the Fall '07 term at University of Texas at Austin.

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ASE 201 - Assignment due Nov 12 - TOPIC: Functions & Using...

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