Prob-7 Density of gauge fluid used in well manometer is p =8000±10.0 Kg/m³. The maximum height of gauge fluid in the reading scale is h=0.8 m., and uncertainty in reading scale is ± 0.2 mm. Compute the absolute uncertainty and accuracy (relative uncertainty) of this well manometer? Use g = 10 m/s², and one digit after decimal point for results! Solution: P= Pnom. Wp ; h = P/ (p*g); P=h*p*g p=8000 +10.0 Kg/m³. h=0.8 0.0002 m = 0.8± 0.025% WR (SE aR 3R 127 12 Wxiaxi it can readily be shown that Eq. (7.4) takes the simpler form WR 20² = {(₁ ²²^)² + (6 ²²2 ) ² + b R X1 x2 1/2 Wn + (N ²₂ ) ² } ¹² + ... +
Prob-7 Density of gauge fluid used in well manometer is p =8000±10.0 Kg/m³. The maximum height of gauge fluid in the reading scale is h=0.8 m., and uncertainty in reading scale is ± 0.2 mm. Compute the absolute uncertainty and accuracy (relative uncertainty) of this well manometer? Use g = 10 m/s², and one digit after decimal point for results! Solution: P= Pnom. Wp ; h = P/ (p*g); P=h*p*g p=8000 +10.0 Kg/m³. h=0.8 0.0002 m = 0.8± 0.025% WR (SE aR 3R 127 12 Wxiaxi it can readily be shown that Eq. (7.4) takes the simpler form WR 20² = {(₁ ²²^)² + (6 ²²2 ) ² + b R X1 x2 1/2 Wn + (N ²₂ ) ² } ¹² + ... +
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Prob-7
Density of gauge fluid used in well manometer is p =8000 +10.0 Kg/m³.
The maximum height of gauge fluid in the reading scale is h=0.8 m., and uncertainty in reading scale is ± 0.2 mm. Compute the absolute uncertainty and accuracy
(relative uncertainty) of this well manometer? Use g = 10 m/s², and one digit after decimal point for results!
Solution:
P= Pnom. Wp ;
h = P/ (p*g);
P=h*p*g
p=8000±10.0 Kg/m³.
h=0.8±0.0002 m = 0.8 ± 0.025%
WR
ƏR
([ [20, 3R 12) 12
it can readily be shown that Eq. (7.4) takes the simpler form
WR
Wn
10 R = {( 1²² ) ² + ( ²²2 ) ² + ... + (N ² ) ² } ¹²
b
R
X1
X2
Xn
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