How To Find Error In Velocity
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Velocity Error Constant Bode Plot
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Velocity Error Constant Control System
Blog Safety Tips Science & Mathematics Physics Next How to calculate error in velocity? I am doing a physics prac on: the effect the velocity of impact has on the formation of craters in the sand. Because of this i am using the equation v^2 = 2as but im confused as how to calculate the error for velocity. Do I just add how to find velocity equation the errors of acceleration (gravity) and distance... show more I am doing a physics prac on: the effect the velocity of impact has on the formation of craters in the sand. Because of this i am using the equation v^2 = 2as but im confused as how to calculate the error for velocity. Do I just add the errors of acceleration (gravity) and distance together? Or is there another way? any help or suggestions of websites would be really great! thanks Update: sorry i should have mentioned earlier, but the error of gravity is quite insignificant so does this affect it? Follow 1 answer 1 Report Abuse Are you sure you want to delete this answer? Yes No Sorry, something has gone wrong. Trending Now Corey Kluber Tennessee Titans Caroline Wozniacki Eric Trump Arthritis Relief iPhone 7 Airbus A350 Justin Bieber Conor McGregor 2016 Crossovers Answers Best Answer: For a product of two numbers with error limits, you square the error terms, add them, and then take the square root. Edit: That is, if the errors are relative errors. If the errors ar
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How To Find Velocity Without Time
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How To Find Velocity With Distance And Time
Ask Question _ Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related how to find velocity in physics fields. Join them; it only takes a minute: Sign up Here's how it works: Anybody can ask a question Anybody can answer The best answers are voted up and rise to the top Velocity Measurement Error Estimate up https://answers.yahoo.com/question/index?qid=20090718015245AABAqdJ vote 1 down vote favorite I have 2 position estimates (along with their measurement error) and a difference in time between estimates. I estimate velocity using Velocity = (PosA - PosB)/DeltaT I am trying to estimate the error in my velocity estimate, but I can't seem to find any ways to calculate this. I assume it has to use Sigma_PosA and Sigma_PosB. I would also assume it's relative to DeltaT and/or abs(PosA - PosB). What http://math.stackexchange.com/questions/61050/velocity-measurement-error-estimate is the velocity measurement variance/standard deviation? algorithms statistics share|cite|improve this question edited Sep 1 '11 at 5:17 Mike Spivey 36.3k6108198 asked Aug 31 '11 at 21:22 Charles L. 1085 migrated from stackoverflow.com Aug 31 '11 at 22:09 This question came from our site for professional and enthusiast programmers. What do you know about the error in the two positions? Do you have an explicit distribution, or just an error term? –templatetypedef Aug 31 '11 at 21:23 Are the errors in the positions measurements uncorrelated? (If you don't understand that question, the answer is probably "yes".) –Beta Aug 31 '11 at 21:30 templatetypedef: I am assuming a gaussian distribution with a standard deviation of Sigma_Pos –user858146 Aug 31 '11 at 21:55 Beta: I'm not sure if they are. They are the same object, but that's the only relationship between the 2 measurements. –user858146 Aug 31 '11 at 21:57 add a comment| 2 Answers 2 active oldest votes up vote 2 down vote accepted sigmav = sqrt((sigmaA)2 + (sigmaB)2) / (DeltaT) EDIT: (Corrected an error above-- DeltaT should not be squared.) It sounds as if the measurements are independent, so the errors are uncorrelated. We want the standard deviation of a linear combination of (two) variables: $V = \frac{(B-A)}{\Delta_t} = \frac{1}{\Delta_t}B - \frac{1}{\Delta_t}A$ $\sigma_V^2= \sum_i^n a_i^2\sigma_i^2 = (\frac{1}{\Delta_t})^2\sigma_B^2 +
Life in the Universe Labs Foundational Labs Observational Labs Advanced Labs Origins of Life in the Universe Labs Introduction to Color Imaging Properties of Exoplanets General Astronomy Telescopes Part 1: Using the http://astro.physics.uiowa.edu/ITU/glossary/percent-error-formula/ Stars Tutorials Aligning and Animating Images Coordinates in MaxIm Fits Header Graphing in https://www.lhup.edu/~dsimanek/scenario/errorman/calculus.htm Maxim Image Calibration in Maxim Importing Images into MaxIm Importing Images into Rspec Measuring Magnitude in Maxim Observing with Rigel Photometry in Maxim Producing Color Images Stacking Images Using SpectraSuite Software Using Tablet Applications Using the Rise and Set Calculator on Rigel Wavelength Calibration in Rspec Glossary Kepler's Third Law Significant Figures Percent how to 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 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 how to find 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?Solution:experimental value = 220,000 km/s = 2.2 x 108 m/stheoretical value = 299,800 km/s 2.998 x 108 m/s So Rømer was quite a bit off by our standards today, but considering he came up with this estimate at a time when a majority of respected astronomers, like Cassini, still believed that the s
with: (1) Functions of several variables. (2) Evaluation of partial derivatives, and the chain rules of differentiation. (3) Manipulation of summations in algebraic context. At this mathematical level our presentation can be briefer. We can dispense with the tedious explanations and elaborations of previous chapters. 6.2 THE CHAIN RULE AND DETERMINATE ERRORS If a result R = R(x,y,z) is calculated from a number of data quantities, x, y and z, then the relation: [6-1] ∂R ∂R ∂R dR = —— dx + —— dy + —— dz ∂x ∂y ∂z
holds. This is one of the "chain rules" of calculus. This equation has as many terms as there are variables. Then, if the fractional errors are small, the differentials dR, dx, dy and dz may be replaced by the absolute errors ΔR, Δx, Δy, and Δz, and written: [6-2] ∂R ∂R ∂R ΔR ≈ —— Δx + —— Δy + —— Δz ∂x ∂y ∂z Strictly this is no longer an equality, but an approximation to DR, since the higher order terms in the Taylor expansion have been neglected. So long as the errors are of the order of a few percent or less, this will not matter. This equation is now an error propagation equation. [6-3] Finally, divide equation (6.2) by R: ΔR x ∂R Δx y ∂R Δy z ∂R Δz —— = —————+——— ——+————— R R ∂x x R ∂y y R ∂z z The factors of the form Δx/x, Δy/y, etc are relative (fractional) errors. This equation shows how the errors in the result depend on the errors in the data. Eq. 6.2 and 6.3 are called the standard form error equations. They are also called determinate error equations, because they are strictly valid for determinate errors (not indeterminate errors). [We'll get to indeterminate errors soon.] The coefficients in Eq. 6.3 of the fractional errors are of the form [(x/R)(∂R/dx)]. These play the very important role of "weighting" factors in the various error terms. At this point numeric values of the relative errors could be substituted into this equation, along with th