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# ws04 - the measurement 5 times and obtain results trial...

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INDIANA UNIVERSITY DEPARTMENT OF PHYSICS: P309 Worksheet 4: Propagation of errors 1. Error propagation (5 points) Suppose you measure the resistance of a device by making two voltage measurements V 1 = 10 . 0 ± 0 . 1 volts, V 2 = 9 . 5 ± 0 . 1 volts, and a current measurement I = 0 . 200 ± 0 . 001 A. The unknown resistance is given by the expression: R = V 1 - V 2 I (1) What is the measured value of the resistance with its uncertainty? 1

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2. Error estimate from repeated measurement (5 points) Suppose you drop a ball from a height of 10 . 0 m (lets assume we know the height perfectly) and measure the time it takes for the ball to reach the ground. You repeat
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Unformatted text preview: the measurement 5 times and obtain results: trial time (s) Δ Δ 2 1 1.446 2 1.454 3 1.440 4 1.461 5 1.482 sum = ave = rms = [a] What is your measurement of the time t and its uncertainty? [b] Based on the accepted value for g you would expect to measure a time t of 1.429 s. If your data and that expectation are consistent, would you say that the chances of getting the result you got are: 1. better than 32% 2. between 32% and 5% 3. between 5% and 0.3% 4. less than 0.3%...
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