TUGAS 1 Analisa teknik
VICHA PRABOWO LAMOKI G 621 06 034
PROGRAM STUDI TEKNIK PERTANIAN JURUSAN TEKNOLOGI PERTANIAN FAKULTAS PERTANIAN UNIVERSITAS HASANUDDIN MAKASSAR 2009
Solve the falling parachutist problem for the following case: •
v(t=0)=0
•
M=80 kg
•
C=15 kg/s
•
tf=50 s
•
Use Dt=5 s & Dt=1 s
•
Compute: v(t), true error & percent relative error for each discrete time value. Which step size gives the most accurate results? Why?
•
Problems: 1.2,6,10,15
Jawabannya : 1) t=[1.2 6 10 15]; at=5; g=9.8; m=80; c=15; v=5; a=g.*m b=c.*v gc=a./b d=a./(gc.*c) f=1.-(2.72.^-(c.*gc./m).*t) vt=d.*f a= 784 b= 75 gc = 10.4533 d=
5 f= 0.8312
0.1559 -0.4068 -1.1103
vt = 4.1559
0.7795 -2.0342 -5.5513
2) t=[1.2 6 10 15]; at=1; g=9.8; m=80; c=15; v=1; a=g.*m b=c.*v gc=a./b d=a./(gc.*c) f=1.-(2.72.^-(c.*gc./m).*t) vt=d.*f a= 784 b= 15 gc = 52.2667 d= 1 f= 0.9999 vt =
0.9997
0.9994
0.9992
0.9999
0.9997
0.9994
0.9992
Relative Error (SE = V(t=5) = 4,1559) adalah
Relative Error (SE = V(t=1) = 0,9999) adalah
True Error SE -
=
SE -
=
= 0,8441 = 0,0001