2.2.3 Tolerance
Tolerance is a term that is closely
related to accuracy and defines the maximum error that is to be expected in
some value. Whilst it is not, strictly speaking, a static characteristic of
measuring instruments, it is mentioned here because the accuracy of some
instruments is sometimes quoted as a tolerance figure. When used correctly,
tolerance describes the maximum deviation of a manufactured component from some
specified value. For instance, crankshafts are machined with a diameter tolerance
quoted as so many microns (10[1]6 m), and
electric circuit components such as resistors have tolerances of perhaps 5%.
One resistor chosen at random from a batch having a nominal value 1000 W and
tolerance 5% might have an actual value anywhere between 950 W and 1050 W.
2.2.4 Range or span
The range or span of an instrument
defines the minimum and maximum values of a quantity that the instrument is
designed to measure
2.2.5 Linearity
It is normally desirable that the
output reading of an instrument is linearly proportional to the quantity being
measured. The Xs marked on Figure 2.6 show a plot of the typical output
readings of an instrument when a sequence of input quantities are applied to
it. Normal procedure is to draw a good fit straight line through the Xs, as
shown in Figure 2.6. (Whilst this can often be done with reasonable accuracy by
eye, it is always preferable to apply a mathematical least-squares line-fitting
technique, as described in Chapter 11.) The non-linearity is then defined as
the maximum deviation of any of the output readings marked X from this straight
line. Non-linearity is usually expressed as a percentage of full-scale reading.
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