+ FIGURE 1: Wind tunnel experiment to measure how the force of air resistance depends on velocity. A free-falling object such as a bungee jumper is subject to the upward force of air resistance. We assumed that this force was proportional to some power b of velocity as in Fu=CVb where Fu = the upward force of air resistance [N = kg m/s²], C = drag coefficient (kg/m), and V = velocity [m/s]. An individual is suspended in a wind tunnel and the force measured for various levels of wind velocity. The result might be as listed in Table 1 V (m/s) Fu (N) 15 65.5 30 227.9 45 60 472.9 793.7 75 1186 90 1646.7 Table 1: Experimental data for force (N) and velocity (m/s) from a wind tunnel experiment. Find least sqaures approximation Fu=CVb to the data given in Table 1.

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FIGURE 1: Wind tunnel experiment to measure how the force of air resistance depends on velocity.
A free-falling object such as a bungee jumper is subject to the upward force of air
resistance. We assumed that this force was proportional to some power b of velocity as
in
Fu=CaVb
where Fy = the upward force of air resistance [N = kg m/s2 ], Ca = drag coefficient
(kg/m), and V = velocity [m/s]. An individual is suspended in a wind tunnel and the force
measured for various levels of wind velocity. The result might be as listed in Table 1
V (m/s)
15
30
45
60
75
90
Fu (N)
65.5
227.9
472.9
793.7
1186
1646.7
Table 1: Experimental data for force (N) and velocity (m/s) from a wind tunnel experiment.
Find least sqaures approximation Fy=C,Vb to the data given in Table 1.
Transcribed Image Text:FIGURE 1: Wind tunnel experiment to measure how the force of air resistance depends on velocity. A free-falling object such as a bungee jumper is subject to the upward force of air resistance. We assumed that this force was proportional to some power b of velocity as in Fu=CaVb where Fy = the upward force of air resistance [N = kg m/s2 ], Ca = drag coefficient (kg/m), and V = velocity [m/s]. An individual is suspended in a wind tunnel and the force measured for various levels of wind velocity. The result might be as listed in Table 1 V (m/s) 15 30 45 60 75 90 Fu (N) 65.5 227.9 472.9 793.7 1186 1646.7 Table 1: Experimental data for force (N) and velocity (m/s) from a wind tunnel experiment. Find least sqaures approximation Fy=C,Vb to the data given in Table 1.
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