7.3 Orifice meters are used to measure the flow rate of a fluid. In an experiment, the flow coefficient K of an orifice is found by collecting and weighing water flowing through the orifice during a certain interval while the orifice is under a constant head. K is calculated from the following formula: M tAp(284h) ¹/2 The values of the parameters have been determined to be as follows, with 95% confidence: 865.00+ 0.05 lbm 600.0±1s Mass Time Density Diameter Head K = M t = p = 62.36 ± 0.1% lbm/ft³ d = 0.500 ± 0.001 in. (A is area) Ah 12.02 0.01 ft Find the value of K, its uncertainty (with 95% confidence), and the maximum possible error. variables x₁, x2, and x3 by

Elements Of Electromagnetics
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7.3 Answer: K = .601 plus/minus .003 Wkmax = .004
ts.
m
er.
SS.
J
d = 1.270 ± 0.0025 cm (A is area)
Bensity
Diameter
Head
Ah = 366.0 ± 0.3 cm
error.
Find the value of K, its uncertainty (with 95% confidence), and the maximum possible
7.3 Orifice meters are used to measure the flow rate of a fluid. In an experiment, the flow
coefficient K of an orifice is found by collecting and weighing water flowing through the
orifice during a certain interval while the orifice is under a constant head. K is calculated
from the following formula:
Mass
Time
The values of the parameters have been determined to be as follows, with 95% confidence:
865.00 ± 0.05 lbm
Density
Diameter
Head
K =
M
tAp(284h) ¹/2
=
M
t = 600.0±1s
p = 62.36 ± 0.1% lbm/ft³
d = 0.500 ± 0.001 in. (A is area)
Ah = 12.02 ± 0.01 ft
Find the value of K, its uncertainty (with 95% confidence), and the maximum possible
error.
7.4 Variables R₁, R2, R3, and R₁ are related to three independent variables x₁, x2, and x3 by
the formulas
R₁ = ax₁ + bx₂ + CX3
R₂ = d(x1)(x₂)(x3)
x₁)(x₂)
Transcribed Image Text:ts. m er. SS. J d = 1.270 ± 0.0025 cm (A is area) Bensity Diameter Head Ah = 366.0 ± 0.3 cm error. Find the value of K, its uncertainty (with 95% confidence), and the maximum possible 7.3 Orifice meters are used to measure the flow rate of a fluid. In an experiment, the flow coefficient K of an orifice is found by collecting and weighing water flowing through the orifice during a certain interval while the orifice is under a constant head. K is calculated from the following formula: Mass Time The values of the parameters have been determined to be as follows, with 95% confidence: 865.00 ± 0.05 lbm Density Diameter Head K = M tAp(284h) ¹/2 = M t = 600.0±1s p = 62.36 ± 0.1% lbm/ft³ d = 0.500 ± 0.001 in. (A is area) Ah = 12.02 ± 0.01 ft Find the value of K, its uncertainty (with 95% confidence), and the maximum possible error. 7.4 Variables R₁, R2, R3, and R₁ are related to three independent variables x₁, x2, and x3 by the formulas R₁ = ax₁ + bx₂ + CX3 R₂ = d(x1)(x₂)(x3) x₁)(x₂)
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