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

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Other Topics Related to Measurement Uncertainty <br />

Section 9<br />

Other Topics Related to Measurement Uncertainty<br />

This section discusses other important topics related to measurement uncertainty.<br />

The first involves estimating the uncertainty <strong>of</strong> a field calibration, where a<br />

reference st<strong>and</strong>ard stopwatch is brought into the field <strong>and</strong> used to calibrate another<br />

device. Next, the stability <strong>and</strong> aging <strong>of</strong> 32 768 Hz quartz crystal oscillators used<br />

in stopwatches <strong>and</strong> timers is discussed, followed by discussions <strong>of</strong> how the<br />

performance <strong>of</strong> a stopwatch can change when a new battery is installed, <strong>and</strong> how<br />

extreme temperature conditions can affect stopwatch performance.<br />

9.A. Uncertainty Analysis <strong>of</strong> Using a Calibrated <strong>Stopwatch</strong> to<br />

Calibrate another Device<br />

A calibrated stopwatch is <strong>of</strong>ten used to perform field calibrations <strong>of</strong> other timing<br />

devices, such as an industrial timer or parking meter. In this example (Table<br />

13), we are calibrating an industrial timer with 1 s resolution. The reference<br />

for the calibration is a stopwatch that has a specified accuracy <strong>of</strong> 5 s per day<br />

(about 208 ms per hour), 0.01 s resolution, <strong>and</strong> a calibration uncertainty <strong>of</strong> 0.2<br />

s per day (roughly 8 ms per hour). As previously discussed in Section 5.C.2,<br />

the human reaction time bias is 120 ms, <strong>and</strong> the human reaction time st<strong>and</strong>ard<br />

deviation is 230 ms. The measurement time for the calibration is 1 hour (3600<br />

s). Using these values <strong>and</strong> the analysis provided in Table 13, the uncertainty <strong>of</strong><br />

the industrial timer when measuring a 1 hour interval is 789 ms, or 0.02 %. All<br />

values in Table 13 are rounded to the nearest millisecond.<br />

When performing this analysis, it is important to include the specified accuracy<br />

<strong>of</strong> the reference stopwatch, which takes into account long-term sources <strong>of</strong> error<br />

during the calibration interval that may not have been noticeable during the time<br />

<strong>of</strong> calibration. It is also important to consider the uncertainty <strong>of</strong> the stopwatch<br />

calibration as part <strong>of</strong> the budget when using a stopwatch as a reference, because<br />

it may be relatively large when compared to the other sources <strong>of</strong> uncertainty in<br />

the measurement process.<br />

59

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