Problem 1.44 - & The uncertainties are expected...

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Problem 1.44 [Difficulty: 2] Given: Mass flow rate of water determine by collecting discharge over a timed interval is 0.2 kg/s. Scales can be read to nearest 0.05 kg. Stopwatch can be read to nearest 0.2 s. Find: Estimate precision of flow rate calculation for time intervals of (a) 10 s, and (b) 1 min. Solution: Apply methodology of uncertainty analysis, Appendix F: Computing equations: 2 1 2 2 + ± = = t m m u t m m t u m m m m u t m m Thus 1 and 1 1 2 2 = = = = t m m t t m m t t t m m m m
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Unformatted text preview: & The uncertainties are expected to be half the least counts of the measuring instruments. Tabulating results: Time Interval, t (s) Error in t (s) Uncertainty in t (%) Water Collected, m (kg) Error in m (kg) Uncertainty in m (%) Uncertainty in m & (%) 10 0.10 1.0 2.0 0.025 1.25 1.60 60 0.10 0.167 12.0 0.025 0.208 0.267 A time interval of about 15 seconds should be chosen to reduce the uncertainty in results to 1 percent....
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