● Problem Use bisection method to solve for mass, m, in the bungee jumper mathematical model. Assume v=36, t=4, g=9.81 and ca=0.25. Use initial guesses of xl=50 and xu=200. Tabulate the values for xl, xu, xr, and the approximate percent relative error for each iteration. Note also the signs of f(xl), f(xu) and f(xr). Use a stopping criterion of Es = 0.5%. f(m) = gm V ca Cd tanh gCd m -t - v(t)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
icon
Related questions
Question
●
Problem
Use bisection method to solve for mass, m, in the
bungee jumper mathematical model. Assume
v=36, t=4, g=9.81 and ca=0.25. Use initial
guesses of xl-50 and xu=200. Tabulate the
values for xl, xu, xr, and the approximate percent
relative error for each iteration. Note also the signs
of f(xl), f(xu) and f(xr). Use a stopping criterion of Es
= 0.5%.
f (m) =
gm
V Ca
tanh
gCd
m
t
- v(t)
Transcribed Image Text:● Problem Use bisection method to solve for mass, m, in the bungee jumper mathematical model. Assume v=36, t=4, g=9.81 and ca=0.25. Use initial guesses of xl-50 and xu=200. Tabulate the values for xl, xu, xr, and the approximate percent relative error for each iteration. Note also the signs of f(xl), f(xu) and f(xr). Use a stopping criterion of Es = 0.5%. f (m) = gm V Ca tanh gCd m t - v(t)
Sample output
>> bisect (50, 200)
i
x1
1
50.00000 200.00000
125.00000 200.00000
2
3 125.00000 162.50000
4
125.00000 143.75000
5
134.37500
143.75000
6
139.06250 143.75000
7
141.40625
143.75000
8
142.57813 143.75000
>> |
xu
xx
125.0000
162.5000
143.7500
134.3750
139.0625
141.4063
142.5781
143.1641
Ea
100.00
23.08
13.04
6.98
3.37
1.66
0.82
0.41
Transcribed Image Text:Sample output >> bisect (50, 200) i x1 1 50.00000 200.00000 125.00000 200.00000 2 3 125.00000 162.50000 4 125.00000 143.75000 5 134.37500 143.75000 6 139.06250 143.75000 7 141.40625 143.75000 8 142.57813 143.75000 >> | xu xx 125.0000 162.5000 143.7500 134.3750 139.0625 141.4063 142.5781 143.1641 Ea 100.00 23.08 13.04 6.98 3.37 1.66 0.82 0.41
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage