Engineers define expected error as a combination of bias error andthe claimed ma

Question

Engineers define expected error as a combination of bias error andthe claimed manufacturer's accuracy error, namely, expected error =bias error + claimed accuracy error. Consider a Bourdongage. A manufacturer claims an accuracy of +/- 0.25% of thefull-scale reading. For this particular pressure gage, the range ofthe gage is 0 to 80 psi. However, the manufacturer's spec does notinclude the effect of a zero- adjustment error (bias error).Suppose the gage reads 0.45 psi when the true gagepressure is zero.

(a) Calculate the expected error of this instrument.
(b) When the true gage pressure is 20 psi, what is therange of expected average reading from the instrument inpsi?
(c) How can the instrument error be reduced?

Explanation / Answer

(a) expected error = bias error + claimed accuracy error expected error = 0.45 + 0.25*80/100 expected error = 0.45 + 0.20 expected error = 0.65 to 0.25 psi (b) the true gage pressure is 20 psi the range of expected average reading from theinstrument=true gage pressure+expected error the range of expected average reading from theinstrument=20.65 to 20.25 psi (c) To reduce error: we can reduce bias error.. for reducing bias error take pressure as (gage reading-0.45)psi

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