CALIBRATION DATA - 10,000 PSI Pressure Transducer
VOLTS
PRESSURE
X
, Y
0
0
0.016
2.509
X
, Y
1
1
5.005
10000
2.512
0.017
FORMULA FOR A STRAIGHT LINE
Y = Data point on the Y axis (Pressure)
X= Data point on the X axis (volts output of the sensor)
M= Slope of the line (degrees C per volt output)
B= Y intercept, or Offset. (Value of Y when X=0)
FIND M - THE SLOPE OF THE LINE
M = Rise / Run
M = (Y1 - Y0) / (X1-X0)
M = (10,000-0) / (5.005-0)
M = 10,000/5.005
M= 1998.0002
FIND B -The Offset (Assume that X = 0)
We know from the calibration information that when the Pressure is 0 psi then the output of the sensor will be 0.016V
Y = (M*X) + B
0 = (1998.002*.016) + B
0= (32) + B
B = -31.968
Let's check our work using one of the other data points CALCULATE THE VALUE OF x FOR y=5000 PSI
Y = (M*X) + B
5000 = (1998.0002*x) +(-31.968)
x = ((5000-(-31.968)) / 1998.0002
x = ((5000-(-31.968)) / 1998.0002
X = 2.5185
You can see that calculated value of X at 5000 psi is very close to the value given on the calibration sheet.
The important thing is that the check has shown that the calculation was done properly.
The difference is (2.5185 - 2.512)/2.5185 *100 = 0.25%
From the calculations above, here is the information that is entered into the calibration fields in the DAAS setup screen
SLOPE = 1998.002
OFFSET = -32
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0
5000
12000
5000
10000
0
8000
6000
4000
2000
0
0
Y=MX+B
F
4-25. C
IGURE
ALCUL D
PRESSURE
DATA POINT
X
, Y
0
0
0.016, 0
1
2
'
,
ÉTALONNAGE DE PRESSION
ÉCHANTILLON
DATA POINT
X
, Y
1
1
2.509, 5000
3
4
Output Voltage
Notice d'utilisation DAAS
5.005, 10000
5
6