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1 2 3 4 5 6
a
6
, 0 01167 , 0 02167 , 0 01833 , 0 03833 , 0 03167 , 0 00833
6
2
, 0 02167 mkm .
Root mean square deviation is determined by the formula:
2 2 2 2 2 2
S 1 2 3 4 5 6
n
2 2 2 2 2 2
, 0 01167 , 0 02167 , 0 01833 , 0 03833 , 0 03167 , 0 00833
, 0 024mkm 2
6
Relative error of measurements is determined by the formula:
, 0 02167
a 100 % 100 % 13 4 , %
k , 0 16167
a
2
Answer: the root mean square deviation is S=0,024 mkm ;
2
Absolute error a , 0 02167 mkm . and relative error of
measurement 13 4 , % .
Task 1.2
Determine the root mean square deviation, absolute and
relative measurement error for the filtration rate of the fluid by the
law of Darcy for such values of pressure p = 1,2; 1,5; 1,1; 1,7;
1,4 MPa; if the length of the sample of rock l 2 ( ) n cm
(where n - number of student’s variant); liquid density - 870
-7
3
kg/m ; filtration coefficient - 3,810 m/s; acceleration of gravity -
2
9.81 m/s .
12