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#Fluid Statics Manometer :- Manometers used to be common pressure-measurement de

ID: 1717335 • Letter: #

Question

#Fluid Statics Manometer :-

Manometers used to be common pressure-measurement devices, but, outside of laboratories, electronic pressure transducers are now more common. Manometers are sometimes still used to calibrate the pressure transducers.

In the calibration system shown below, the mercury manometer on the right and the pressure transducer on the left are both connected to a piston driven pressure sores filled with hydraulic oil (p=880 Kg/m^3). The bulbs connected to the transducer and the right side of the manometer are both evacuated (p=0).

During the calibration, the piston is moved to generate a pressure on both the manometer and the transducer. th manometer reading R is recorded, along with the output of the producer A (assuming a 4 to 20mA output current from from the transducer).

#Consider the following calibration data :-

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(B) Create a calibration table and graph showing the transducer output (mA) as a function of measured pressure

Pistion Settign hL (mm Oil) Manometer Readign (mmHg) Transducer Output (mA) 1.0 300.0 0.0 4.0 2.0 450.0 150.0 5.6 3.0 600.0 300.0 7.2 4.0 750.0 450.0 8.8 5.0 900.0 600.0 10.4 6.0 1050.0 750.0 12.0 7.0 1200.0 900.0 13.6 8.0 1350.0 1050.0 15.2 9.0 1500.0 1200.0 16.8 10.0 1650.0 1350.0 18.4 11.0 1800.0 1500.0 20.0

Explanation / Answer

the calibration table has measure pressures at various positions

At position 1,

Measured Pressure = rho_Hg * g * h_Hg = 13600*9.81*0 = 0

At position 2,

Measured Pressure = rho_Hg * g * h_Hg = 13600*9.81*(150/1000) = 20012.4 Pa = 20.0124 kPa

Complete calibration table

calibration plot

Y-axis - transducer output (mA)

X-axis - measured pressure (kPa)

Relation between transducer output (y) and measured pressure (x) is

y = 0.08x +4

Pistion Setting Manometer Reading Hg Pressure Transducer Output (mmHg) (kPa) (mA) 1 0 0.133416 4 2 150 0.266832 5.6 3 300 0.400248 7.2 4 450 0.533664 8.8 5 600 0.66708 10.4 6 750 0.800496 12 7 900 0.933912 13.6 8 1050 1.067328 15.2 9 1200 1.200744 16.8 10 1350 1.33416 18.4 11 1500 1.467576 20