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principles measurement systems 4ed A liquid level sensor has an input range of 0

ID: 1993695 • Letter: P

Question

principles measurement systems 4ed A liquid level sensor has an input range of 0 to 15 cm. Use the calibration results given in the table to estimate the maximum hysteresis as a percentage of f.s.d. The following results were obtained when a pressure transducer was tested in a laboratory under the following conditions: I Ambient temperature 20 degree C, supply voltage 10 V (standard) II Ambient temperature 20 degree C, supply voltage 12 V III Ambient temperature 25 degree C, supply voltage 10 V (a) Determine the values of K_M, K_i, a and K associated with the generalised model equation O = (K + K_M I_M) I + a + K_1 I_1. (b) Predict an output value when the input is 5 barg, V_s = 12 V and ambient temperature is 25 degree C.

Explanation / Answer

From the above table Maximumu deviation=1.35

Maximum voltage output=10.2

The maximum hysteresis as a percentage of f.s.d.=(Maximumu deviation/Maximum voltage output)*100

=(1.35/10.2)*100=13.23%

Level h cm 0 1.5 3 4.5 6 7.5 9 10.5 12 13.5 15 Output volts h increasing 0 0.35 1.42 2.4 3.43 4.35 5.61 6.5 7.77 8.85 10.2 Output volts h decreasing 0.14 1.25 2.32 3.55 4.43 5.7 6.78 7.8 8.87 9.65 10.2 Deviation(Output volts h decreasing-Output volts h increasing) 0.14 0.9 0.9 1.15 1 1.35 1.17 1.3 1.1 0.8 0