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An error is the difference between the measured value and the expected value of something (unavoidable). An uncertainty is a way of expressing or summarizing the error (unavoidable).
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Problem: Suppose you measure three numbers as follows: = 200 § 2; = 50 § 2; = 40 § 2; where the three uncertainties are independent and random. Use step-by-step propagation to find the quantity q = x=(y ¡ z) with its uncertainty.
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3. The Handbook of Chemistry and Physics lists the density of a certain liquid to be 0.7988 g/mL. Taylor experimentally finds this liquid to have a density of 0.7925 g/mL. The teacher allows up to +/- 0.500% error to make an “A” on the lab. Did Fred make an “A”? Prove your answer. 0.7925 - 0.7988 = 0.0063 = 0.0079 X 100 = 0.79%
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For a digital device which directly outputs a reading (like a digital scale), you can take the uncertainty to be given by the last digit the device outputs. For instance, if it reads 4:18, then the uncertainty would be 0:01 (in whatever units the scale reads).
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An example of random error is electronic noise in the circuit of an electrical instrument To reduce random errors: Take at least 3 repeats and calculate a mean , this method also allows anomalies to be identified. Use computers/data loggers/cameras to reduce human error and enable smaller intervals.
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Revision notes on 1.2.1 Errors & Uncertainties for the CIE A Level Physics syllabus, written by the Physics experts at Save My Exams.
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Feb 10, 2021 · Here are the definitions, equations, and examples of how to use these types of error calculations. Absolute Error. Absolute error is the magnitude (size) of the difference between a measured value and a true or exact value. Absolute Error = |True Value – Measured Value| Absolute Error Example:
