+ 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 ], 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) Fu (N) 10 37.9 20 107.3 30 197.2 40 303.6 50 424.3 60 557.7 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.
+ 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 ], 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) Fu (N) 10 37.9 20 107.3 30 197.2 40 303.6 50 424.3 60 557.7 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/s? ], 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)
10
20
30
40
50
60
Fu (N)
37.9
107.3
197.2
303.6
424.3
557.7
Table 1: Experimental data for force (N) and velocity (m/s) from a wind tunnel experiment.
Find least sqaures approximation Fu=CaVb to the data given in Table 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5e35dfb7-42bc-45d6-8019-3e813abd6ac2%2F93eb250d-4983-4502-9254-d4f20029bfb5%2F81jr9m7_processed.jpeg&w=3840&q=75)
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/s? ], 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)
10
20
30
40
50
60
Fu (N)
37.9
107.3
197.2
303.6
424.3
557.7
Table 1: Experimental data for force (N) and velocity (m/s) from a wind tunnel experiment.
Find least sqaures approximation Fu=CaVb to the data given in Table 1.
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