Experimental Theoretical Percent Error
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Percent Error Calculator
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Can Percent Error Be Negative
and Set Calculator on Rigel Wavelength Calibration in Rspec Glossary Kepler's Third Law Significant Figures Percent Error Formula Small-Angle Formula Stellar Parallax Finder Chart Iowa Robotic Telescope Sidebar[Skip] Glossary Index Kepler's Third LawSignificant FiguresPercent Error FormulaSmall-Angle FormulaStellar ParallaxFinder Chart Percent Error Formula When you calculate results that are aiming for known values, the percent error formula is useful percent error definition tool for determining the precision of your calculations. The formula is given by: The experimental value is your calculated value, and the theoretical value is your known value. A percentage very close to zero means you are very close to your targeted value, which is good. It is always necessary to understand the cause of the error, such as whether it is due to the imprecision of your equipment, your own estimations, or a mistake in your experiment.Example: The 17th century Danish astronomer, Ole Rømer, observed that the periods of the satellites of Jupiter would appear to fluctuate depending on the distance of Jupiter from Earth. The further away Jupiter was, the longer the satellites would take to appear from behind the planet. In 1676, he determined that this phenomenon was due to the fact that the speed of light was finite, and subsequently estimated its velocity to be approximately 220,000 km/s. The current accepted value of the speed of light is almost 299,800 km/s. What was the percent error of Rømer's estimate?So
using a different procedure to check for consistency. Comparing an experimental
Negative Percent Error
value to a theoretical value Percent error is used
What Is A Good Percent Error
when comparing an experimental result E with a theoretical value T that is accepted percent error worksheet as the "correct" value. ( 1 ) percent error = | T − E |T × 100% For example, if you are comparing your http://astro.physics.uiowa.edu/ITU/glossary/percent-error-formula/ measured value of 10.2 m/s2 with the accepted value of 9.8 m/s2 for the acceleration due to gravity g, the percent error would be ( 2 ) percent error = | 9.81 − 10.2 |9.81 × 100% = 4% Often, fractional or relative uncertainty is used to http://www.webassign.net/labsgraceperiod/ncsulcpmech2/appendices/appendixB/appendixB.html quantitatively express the precision of a measurement. ( 3 ) percent uncertainty = errorE × 100% The percent uncertainty in this case would be ( 4 ) percent uncertainty = 0.0410.2 × 100% = 0.39% Comparing two experimental values Percent difference is used when comparing two experimental results E1 and E2 that were obtained using two different methods. ( 5 ) percent difference = | E1 − E2 |E1 + E22 × 100% Suppose you obtained a value of 9.95 m/s2 for g from a second experiment. To compare this with the result of 10.2 m/s2 from the first experiment, you would calculate the percent difference to be ( 6 ) percent difference = | 9.95 − 10.2 |9.95 + 10.22 × 100% = 2.5% Copyright © 2010 Advanced Instructional Systems, Inc. and North Carolina State University. | Credits
(where abs = absolute value) http://www.percentagecalculator.co/Percent-Error.html (Enter values into the blue boxes. Answer will appear in the black box.)Answers are rounded to 7 decimal places. Examples Example 1: A measured value is 45.6 The actual value is 46.0 What is the percent percent error error between the measured and actual values? Theoretical (actual) Value = 46.0 Experimental (measured) Value = 45.7 Percent Error = 0.65% Click to show this example in the calculator above. Example 2: An estimate is made experimental theoretical percent and its value is 115 The actual value is 95 What is the percent error between the estimate and actual value? Theoretical (actual) Value = 95 Experimental (estimated) Value = 115 Percent Error = 21% Click to show this example in the calculator above. Example 3: The number 2.7 has been rounded up to 3 What is the percent error between the rounded number and the actual number? Theoretical (actual) Value = 2.7 Experimental (rounded) Value = 3 Percent Error = 11% Click to show this example in the calculator above. Calculator / About / Privacy / Contact / Sitemap © 2013 PercentageCalculator.Co All rights reserved.