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m= 68.19= 9.8t= 10v= 40
What is the value of c when v=40 m/sec and t=10 sec?
∆x= 1
Bisection!!!
xlow xhigh xr flow fhigh f(xr)1 20 22 21 -8.400629 -10.86389 -9.675192 19 20 19.5 -7.032141 -8.400629 -7.7286633 18 19 18.5 -5.560793 -7.032141 -6.309924 17 18 17.5 -3.976668 -5.560793 -4.7834885 16 17 16.5 -2.268762 -3.976668 -3.1389226 15 16 15.5 -0.424841 -2.268762 -1.364627 14 15 14.5 1.568699 -0.424841 0.5523198 14.5 15 14.75 0.552319 -0.424841 0.0589549 14.75 15 14.875 0.058954 -0.424841 -0.184126
10 14.75 14.875 14.8125 0.058954 -0.184126 -0.06288311 14.75 14.8125 14.78125 0.058954 -0.062883 -0.00203912 14.75 14.78125 14.76563 0.058954 -0.002039 0.02843813 14.76563 14.78125 14.77344 0.028438 -0.002039 0.01319514 14.77344 14.78125 14.77734 0.013195 -0.002039 0.00557615 14.77734 14.78125 14.7793 0.005576 -0.002039 0.00176816 14.7793 14.78125 14.78027 0.001768 -0.002039 -0.00013617 14.7793 14.78027 14.77979 0.001768 -0.000136 0.00081618 14.77979 14.78027 14.78003 0.000816 -0.000136 0.0003419 14.78003 14.78027 14.78015 0.00034 -0.000136 0.00010220 14.78015 14.78027 14.78021 0.000102 -0.000136 -2E-00521 14.78015 14.78021 14.78018 0.000102 -2E-005 4.3E-00522 14.78018 14.78021 14.7802 4.3E-005 -2E-005 1.3E-00523 14.7802 14.78021 14.7802 1.3E-005 -2E-005 -2E-00624 14.7802 14.7802 14.7802 1.3E-005 -2E-006 5.6E-00625 14.7802 14.7802 14.7802 5.6E-006 -2E-006 1.9E-00626 14.7802 14.7802 14.7802 1.9E-006 -2E-006 2.4E-00827 14.7802 14.7802 14.7802 2.4E-008 -2E-006 -9E-00728 14.7802 14.7802 14.7802 2.4E-008 -9E-007 -4E-00729 14.7802 14.7802 14.7802 2.4E-008 -4E-007 -2E-00730 14.7802 14.7802 14.7802 2.4E-008 -2E-007 -9E-00831 14.7802 14.7802 14.7802 2.4E-008 -9E-008 -3E-008
v=gmc
[1−e−(c /m )t ]
⇒40=9.81∗68 .1c
[1−e−(c /68 . 1)10 ]
or
f (c )=9 .81∗68 .1c
[1−e−( c /68 .1 )10 ]−40=0
32 14.7802 14.7802 14.7802 2.4E-008 -3E-008 -5E-00933 14.7802 14.7802 14.7802 2.4E-008 -5E-009 9.6E-009
ea(%) et(%) SOLUTION42.08194 14.7802
7.692308 31.933235.405405 25.167425.714286 18.401616.060606 11.635816.451613 4.8700026.896552 1.8958051.694915 0.2043530.840336 0.6413730.421941 0.218510.211416 0.0070780.10582 0.098638
0.052882 0.045780.026434 0.0193510.013215 0.0061360.006607 0.0004710.003304 0.0028330.001652 0.0011810.000826 0.0003550.000413 5.8E-0050.000206 0.0001480.000103 4.5E-0055.2E-005 6.4E-0062.6E-005 1.9E-0051.3E-005 6.5E-0066.5E-006 8.5E-0083.2E-006 3.1E-0061.6E-006 1.5E-0068.1E-007 7.2E-0074.0E-007 3.2E-0072.0E-007 1.2E-007
⇒40=9.81∗68 .1c
[1−e−(c /68 . 1)10 ]
or
f (c )=9 .81∗68 .1c
[1−e−( c /68 .1 )10 ]−40=0
1.0E-007 1.6E-0085.0E-008 3.5E-008
m= 68.19= 9.8t= 10v= 40
What is the value of c when v=40 m/sec and t=10 sec?
∆x= 1
Bisection!!!
xlow xhigh xr flow fhigh f(xr)1 20 22 21 -8.400629 -10.86389 -9.675192 19 20 19.5 -7.032141 -8.400629 -7.7286633 18 19 18.5 -5.560793 -7.032141 -6.309924 17 18 17.5 -3.976668 -5.560793 -4.7834885 16 17 16.5 -2.268762 -3.976668 -3.1389226 15 16 15.5 -0.424841 -2.268762 -1.364627 14 15 14.5 1.568699 -0.424841 0.5523198 14.5 15 14.75 0.552319 -0.424841 0.0589549 14.75 15 14.875 0.058954 -0.424841 -0.184126
10 14.75 14.875 14.8125 0.058954 -0.184126 -0.06288311 14.75 14.8125 14.78125 0.058954 -0.062883 -0.00203912 14.75 14.78125 14.76563 0.058954 -0.002039 0.02843813 14.76563 14.78125 14.77344 0.028438 -0.002039 0.01319514 14.77344 14.78125 14.77734 0.013195 -0.002039 0.00557615 14.77734 14.78125 14.7793 0.005576 -0.002039 0.00176816 14.7793 14.78125 14.78027 0.001768 -0.002039 -0.00013617 14.7793 14.78027 14.77979 0.001768 -0.000136 0.00081618 14.77979 14.78027 14.78003 0.000816 -0.000136 0.0003419 14.78003 14.78027 14.78015 0.00034 -0.000136 0.00010220 14.78015 14.78027 14.78021 0.000102 -0.000136 -2E-00521 14.78015 14.78021 14.78018 0.000102 -2E-005 4.3E-00522 14.78018 14.78021 14.7802 4.3E-005 -2E-005 1.3E-00523 14.7802 14.78021 14.7802 1.3E-005 -2E-005 -2E-00624 14.7802 14.7802 14.7802 1.3E-005 -2E-006 5.6E-00625 14.7802 14.7802 14.7802 5.6E-006 -2E-006 1.9E-00626 14.7802 14.7802 14.7802 1.9E-006 -2E-006 2.4E-00827 14.7802 14.7802 14.7802 2.4E-008 -2E-006 -9E-00728 14.7802 14.7802 14.7802 2.4E-008 -9E-007 -4E-00729 14.7802 14.7802 14.7802 2.4E-008 -4E-007 -2E-00730 14.7802 14.7802 14.7802 2.4E-008 -2E-007 -9E-00831 14.7802 14.7802 14.7802 2.4E-008 -9E-008 -3E-008
v=gmc
[1−e−(c /m )t ]
⇒40=9.81∗68 .1c
[1−e−(c /68 . 1)10 ]
or
f (c )=9 .81∗68 .1c
[1−e−( c /68 .1 )10 ]−40=0
32 14.7802 14.7802 14.7802 2.4E-008 -3E-008 -5E-00933 14.7802 14.7802 14.7802 2.4E-008 -5E-009 9.6E-009
ea(%) et(%) SOLUTION42.08194 14.7802
7.692308 31.933235.405405 25.167425.714286 18.401616.060606 11.635816.451613 4.8700026.896552 1.8958051.694915 0.2043530.840336 0.6413730.421941 0.218510.211416 0.0070780.10582 0.098638
0.052882 0.045780.026434 0.0193510.013215 0.0061360.006607 0.0004710.003304 0.0028330.001652 0.0011810.000826 0.0003550.000413 5.8E-0050.000206 0.0001480.000103 4.5E-0055.2E-005 6.4E-0062.6E-005 1.9E-0051.3E-005 6.5E-0066.5E-006 8.5E-0083.2E-006 3.1E-0061.6E-006 1.5E-0068.1E-007 7.2E-0074.0E-007 3.2E-0072.0E-007 1.2E-007
⇒40=9.81∗68 .1c
[1−e−(c /68 . 1)10 ]
or
f (c )=9 .81∗68 .1c
[1−e−( c /68 .1 )10 ]−40=0
1.0E-007 1.6E-0085.0E-008 3.5E-008
