Answered: =CdVb where FU = the upward force of…

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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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

F_U=C_dV^b

where F_U = the upward force of air resistance [N = kg m/s² ], C_d = 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

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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