Error Propagation Physics Lab
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Du siehst YouTube auf Deutsch. Du kannst diese Einstellung unten ändern. Learn more You're viewing YouTube in German. You can change this preference below. Schließen Ja, ich möchte sie behalten Rückgängig machen Schließen Dieses Video ist nicht verfügbar. propagation of error lab report WiedergabelisteWarteschlangeWiedergabelisteWarteschlange Alle entfernenBeenden Wird geladen... Wiedergabeliste Warteschlange __count__/__total__ Propagation of Errors paulcolor error propagation formula physics AbonnierenAbonniertAbo beenden6060 Wird geladen... Wird geladen... Wird verarbeitet... Hinzufügen Möchtest du dieses Video später noch einmal ansehen? Wenn du physics lab error analysis bei YouTube angemeldet bist, kannst du dieses Video zu einer Playlist hinzufügen. Anmelden Teilen Mehr Melden Möchtest du dieses Video melden? Melde dich an, um unangemessene Inhalte zu melden. Anmelden Transkript Statistik error propagation chemistry 29.819 Aufrufe 229 Dieses Video gefällt dir? Melde dich bei YouTube an, damit dein Feedback gezählt wird. Anmelden 230 7 Dieses Video gefällt dir nicht? Melde dich bei YouTube an, damit dein Feedback gezählt wird. Anmelden 8 Wird geladen... Wird geladen... Transkript Das interaktive Transkript konnte nicht geladen werden. Wird geladen... Wird geladen... Die Bewertungsfunktion ist nach Ausleihen des Videos verfügbar. Diese Funktion
Standard Error Physics
ist zurzeit nicht verfügbar. Bitte versuche es später erneut. Veröffentlicht am 13.11.2013Educational video: How to propagate the uncertainties on measurements in the physics lab Kategorie Bildung Lizenz Standard-YouTube-Lizenz Mehr anzeigen Weniger anzeigen Wird geladen... Autoplay Wenn Autoplay aktiviert ist, wird die Wiedergabe automatisch mit einem der aktuellen Videovorschläge fortgesetzt. Nächstes Video Propagation of Error - Dauer: 7:01 Matt Becker 10.709 Aufrufe 7:01 Propagation of Uncertainty, Parts 1 and 2 - Dauer: 16:31 Robbie Berg 21.912 Aufrufe 16:31 AP/IB Physics 0-3 - Propagation of Error - Dauer: 12:08 msquaredphysics 70 Aufrufe 12:08 Basic Rules of Multiplication,Division and Exponent of Errors(Part-2), IIT-JEE physics classes - Dauer: 8:52 IIT-JEE Physics Classes 765 Aufrufe 8:52 Measurements, Uncertainties, and Error Propagation - Dauer: 1:36:37 PhysicsOnTheBrain 44.984 Aufrufe 1:36:37 IB Physics- Uncertainty and Error Propagation - Dauer: 7:05 Gilberto Santos 1.043 Aufrufe 7:05 IB Physics: Uncertainties and Errors - Dauer: 18:37 Brian Lamore 47.440 Aufrufe 18:37 XI_7.Errors in measurement(2013).mp4t - Dauer: 1:49:43 Pradeep Kshetrapal 32.386 Aufrufe 1:49:43 Excel Uncertainty Calculation Video Part 1 - Dauer: 5:48 Measurements Lab 21.845 Aufrufe 5:48 Uncertainty & Measurements - Dauer: 3:01 TruckeeAPChemistry 19.103 Aufrufe 3:01 Error Propagatio
Du siehst YouTube auf Deutsch. Du kannst diese Einstellung unten ändern. Learn more You're viewing YouTube in German. You can change this preference below. Schließen Ja, ich
Error Propagation Example
möchte sie behalten Rückgängig machen Schließen Dieses Video ist nicht error propagation calculator verfügbar. WiedergabelisteWarteschlangeWiedergabelisteWarteschlange Alle entfernenBeenden Wird geladen... Wiedergabeliste Warteschlange __count__/__total__ Calculating the Propagation of Uncertainty Scott Lawson error propagation square root AbonnierenAbonniertAbo beenden3.6953 Tsd. Wird geladen... Wird geladen... Wird verarbeitet... Hinzufügen Möchtest du dieses Video später noch einmal ansehen? Wenn du bei YouTube angemeldet bist, kannst du https://www.youtube.com/watch?v=V0ZRvvHfF0E dieses Video zu einer Playlist hinzufügen. Anmelden Teilen Mehr Melden Möchtest du dieses Video melden? Melde dich an, um unangemessene Inhalte zu melden. Anmelden Transkript Statistik 47.722 Aufrufe 177 Dieses Video gefällt dir? Melde dich bei YouTube an, damit dein Feedback gezählt wird. Anmelden 178 11 Dieses Video gefällt dir nicht? Melde https://www.youtube.com/watch?v=N0OYaG6a51w dich bei YouTube an, damit dein Feedback gezählt wird. Anmelden 12 Wird geladen... Wird geladen... Transkript Das interaktive Transkript konnte nicht geladen werden. Wird geladen... Wird geladen... Die Bewertungsfunktion ist nach Ausleihen des Videos verfügbar. Diese Funktion ist zurzeit nicht verfügbar. Bitte versuche es später erneut. Hochgeladen am 13.01.2012How to calculate the uncertainty of a value that is a result of taking in multiple other variables, for instance, D=V*T. 'D' is the result of V*T. Since the variables used to calculate this, V and T, could have different uncertainties in measurements, we use partial derivatives to give us a good number for the final absolute uncertainty. In this video I use the example of resistivity, which is a function of resistance, length and cross sectional area. Kategorie Bildung Lizenz Standard-YouTube-Lizenz Mehr anzeigen Weniger anzeigen Wird geladen... Anzeige Autoplay Wenn Autoplay aktiviert ist, wird die Wiedergabe automatisch mit einem der aktuellen Videovorschläge fortgesetzt. Nächstes V
sources. The process of evaluating this uncertainty associated with a measurement result is often called uncertainty analysis or error analysis. The complete statement of a measured value should include an estimate of the level of confidence associated http://user.physics.unc.edu/~deardorf/uncertainty/UNCguide.html with the value. Properly reporting an experimental result along with its uncertainty allows other people http://lectureonline.cl.msu.edu/~mmp/labs/error/e2.htm to make judgements about the quality of the experiment, and it facilitates meaningful comparisons with other similar values or a theoretical prediction. Without an uncertainty estimate, it is impossible to answer the basic scientific question: "Does my result agree with a theoretical prediction or results from other experiments?" This question is fundamental for deciding if a scientific hypothesis is confirmed or error propagation refuted. When we make a measurement, we generally assume that some exact or true value exists based on how we define what is being measured. While we may never know this true value exactly, we attempt to find this ideal quantity to the best of our ability with the time and resources available. As we make measurements by different methods, or even when making multiple measurements using the same method, we may obtain slightly different results. error propagation physics So how do we report our findings for our best estimate of this elusive true value? The most common way to show the range of values that we believe includes the true value is: measurement = best estimate ± uncertainty Let’s take an example. Suppose you want to find the mass of a gold ring that you would like to sell to a friend. You do not want to jeopardize your friendship, so you want to get an accurate mass of the ring in order to charge a fair market price. By simply examining the ring in your hand, you estimate the mass to be between 10 and 20 grams, but this is not a very precise estimate. After some searching, you find an electronic balance which gives a mass reading of 17.43 grams. While this measurement is much more precise than the original estimate, how do you know that it is accurate, and how confident are you that this measurement represents the true value of the ring’s mass? Since the digital display of the balance is limited to 2 decimal places, you could report the mass as m = 17.43 ± 0.01 g. Suppose you use the same electronic balance and obtain several more readings: 17.46 g, 17.42 g, 17.44 g, so that the average mass appears to be in the range of 17.44 ± 0.0
or more quantities, each with their individual uncertainties, and then combine the information from these quantities in order to come up with a final result of our experiment. How can you state your answer for the combined result of these measurements and their uncertainties scientifically? The answer to this fairly common question depends on how the individual measurements are combined in the result. We will treat each case separately: Addition of measured quantities If you have measured values for the quantities X, Y, and Z, with uncertainties dX, dY, and dZ, and your final result, R, is the sum or difference of these quantities, then the uncertainty dR is: Here the upper equation is an approximation that can also serve as an upper bound for the error. Please note that the rule is the same for addition and subtraction of quantities. Example: Suppose we have measured the starting position as x1 = 9.3+-0.2 m and the finishing position as x2 = 14.4+-0.3 m. Then the displacement is: Dx = x2-x1 = 14.4 m - 9.3 m = 5.1 m and the error in the displacement is: (0.22 + 0.32)1/2 m = 0.36 m Multiplication of measured quantities In the same way as for sums and differences, we can also state the result for the case of multiplication and division: Again the upper line is an approximation and the lower line is the exact result for independent random uncertainties in the individual variables. And again please note that for the purpose of error calculation there is no difference between multiplication and division. Example: We have measured a displacement of x = 5.1+-0.4 m during a time of t = 0.4+-0.1 s. What is the average velocity and the error in the average velocity? v = x / t = 5.1 m / 0.4 s = 12.75 m/s and the uncertainty in the velocity is: dv = |v| [ (dx/x)2 + (dt/t)2 ]1/2 = 12.75 m/s [(0.4/5.1)2 + (0.1/0.4)2]1/2 = 3.34 m/s Multiplication with a constant What if you have measured the uncertainty in an observable X, and you need to multiply it with a constant that is known exactly? What is the error then? This is easy: just multiply the error in X with the absolute value of the constant, and this will give you the error in R: If you compare this to the above rule for multiplication of two quantities, you see that this is just the special case of that rule for the uncertainty in c, dc = 0. Example: If an object is realeased from rest and is in free fall, and if you measure the velocity of this object at some point to be v = - 3.8+-0.3 m/s, how long has it been in free fall? Answer: we can calculate the time as (g = 9.81 m/s2 is assumed to be known exactly) t = - v / g = 3.8 m/s / 9.81 m/s2 = 0.387 s The uncertainty in the fall tim