Problem 1.44

# Problem 1.44 - & The uncertainties are expected to be ±...

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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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## This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.

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