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Stopwatch and Timer Calibrations - National Institute of Standards ...

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<strong>Stopwatch</strong> <strong>and</strong> <strong>Timer</strong> <strong>Calibrations</strong><br />

distribution. A rectangular distribution is also used for analog timers, since these<br />

devices move in discrete steps from one fraction <strong>of</strong> a second to the next.<br />

6.B.5 Method <strong>of</strong> Evaluation<br />

Since the sources <strong>of</strong> uncertainty in this calibration are different types, such<br />

as the absolute accuracy specification for reaction time, the relative accuracy<br />

specification for the frequency source, <strong>and</strong> an absolute specification <strong>of</strong> 1 count<br />

for the counter, it is necessary to define the calibration conditions <strong>and</strong> convert all<br />

specifications to a common format.<br />

The uncertainty example in Table 11 assumes that the synthesized signal generator<br />

can produce a 1 kHz signal with an uncertainty <strong>of</strong> 1 10 -8 or less. The stopwatch<br />

is compared to the counter for 3 hours (10 800 s). The stopwatch is started <strong>and</strong><br />

stopped with one h<strong>and</strong>, <strong>and</strong> the counter is started <strong>and</strong> stopped with the other. The<br />

stopwatch is digital <strong>and</strong> the resolution is 0.01 s. As in the previous uncertainty<br />

example, all sources <strong>of</strong> uncertainty are combined by root sum <strong>of</strong> squares, <strong>and</strong><br />

uncertainties are rounded to the nearest millisecond.<br />

Source <strong>of</strong><br />

uncertainty<br />

Human reaction<br />

time bias<br />

Human reaction<br />

time st<strong>and</strong>ard<br />

deviation<br />

Synthesizer<br />

accuracy<br />

Totalize counter<br />

resolution<br />

½ DUT<br />

resolution<br />

Table 11 - Uncertainty analysis for totalize method.<br />

Magnitude,<br />

ms<br />

Method <strong>of</strong><br />

evaluation<br />

Distribution<br />

St<strong>and</strong>ard<br />

uncertainty, ms<br />

27 Type B Rectangular 16<br />

10 Type B<br />

Normal<br />

(k = 1)<br />

0 Type B Rectangular 0<br />

1 Type B Rectangular 1<br />

5 Type B Rectangular 3<br />

Combined uncertainty 19<br />

Exp<strong>and</strong>ed uncertainty (k = 2, representing approximately a 95 %<br />

level <strong>of</strong> confidence)<br />

38<br />

10<br />

46

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