Error Multiply
Contents |
would be your guess: can an American Corvette get away if chased by an Italian police Lamborghini?
The top multiplying error by a constant speed of the Corvette is 186 mph ± 2 mph. The top speedMultiply Defined Error
of the Lamborghini Gallardo is 309 km/h ± 5 km/h. We know that 1 mile = 1.61 km. In propagation of error physics order to convert the speed of the Corvette to km/h, we need to multiply it by the factor of 1.61. What should we do with the error? Well, you've learned in the previous error propagation calculator section that when you multiply two quantities, you add their relative errors. The relative error on the Corvette speed is 1%. However, the conversion factor from miles to kilometers can be regarded as an exact number.1 There is no error associated with it. Its relative error is 0%. Thus the relative error on the Corvette speed in km/h is the same as it was in
Error Propagation Chemistry
mph, 1%. (adding relative errors: 1% + 0% = 1%.) It means that we can multiply the error in mph by the conversion constant just in the same way we multiply the speed. So our answer for the maximum speed of the Corvette in km/h is: 299 km/h ± 3 km/h. Now we are ready to answer the question posed at the beginning in a scientific way. The highest possible top speed of the Corvette consistent with the errors is 302 km/h. The lowest possible top speed of the Lamborghini Gallardo consistent with the errors is 304 km/h. Bad news for would-be speedsters on Italian highways. No way can you get away from that police car. The rule we discussed in this chase example is true in all cases involving multiplication or division by an exact number. You simply multiply or divide the absolute error by the exact number just as you multiply or divide the central value; that is, the relative error stays the same when you multiply or divide a measured value by an exact number. << Previous Page Next Page >> 1 For this example, we are regarding the con
find that the error in this measurement is 0.001 in. To find the area we multiply the width (W) and length (L). The area then is L x W error propagation square root = (1.001 in) x (1.001 in) = 1.002001 in2 which rounds to 1.002 in2. error propagation inverse This gives an error of 0.002 if we were given that the square was exactly super-accurate 1 inch a side.
Multiplying Uncertainties
This is an example of correlated error (or non-independent error) since the error in L and W are the same. The error in L is correlated with that of in W. Now, suppose that https://phys.columbia.edu/~tutorial/propagation/tut_e_4_3.html we made independent determination of the width and length separately with an error of 0.001 in each. In this case where two independent measurements are performed the errors are independent or uncorrelated. Therefore the error in the result (area) is calculated differently as follows (rule 1 below). First, find the relative error (error/quantity) in each of the quantities that enter to the calculation, relative error in width is 0.001/1.001 = http://www.utm.edu/~cerkal/Lect4.html 0.00099900. The resultant relative error is Relative Error in area = Therefore the absolute error is (relative error) x (quantity) = 0.0014128 x 1.002001=0.001415627. which rounds to 0.001. Therefore the area is 1.002 in2± 0.001in.2. This shows that random relative errors do not simply add arithmetically, rather, they combine by root-mean-square sum rule (Pythagorean theorem). Lets summarize some of the rules that applies to combining error when adding (or subtracting), multiplying (or dividing) various quantities. This topic is also known as error propagation. 2. Error propagation for special cases: Let σx denote error in a quantity x. Further assume that two quantities x and y and their errors σx and σy are measured independently. In this case relative and percent errors are defined as Relative error = σx / x, Percent error = 100 (σx / x) Multiplying or dividing with a constant. The resultant absolute error also is multiplied or divided. Multiplication or division, relative error. Addition or subtraction: In this case, the absolute errors obey Pythagorean theorem. If a and b are constants, If there are more than two measured quantities, you can extend expressions provided above by adding more te
Du siehst YouTube auf Deutsch. Du kannst diese Einstellung unten Ă€ndern. Learn more You're viewing YouTube in German. You can change this preference below. SchlieĂen Ja, ich möchte sie behalten RĂŒckgĂ€ngig machen https://www.youtube.com/watch?v=I9htBHfj9C0 SchlieĂen Dieses Video ist nicht verfĂŒgbar. WiedergabelisteWarteschlangeWiedergabelisteWarteschlange Alle entfernenBeenden Wird geladen... Wiedergabeliste Warteschlange __count__/__total__ Uncertainty Calculations - Multiplication Terry Sturtevant AbonnierenAbonniertAbo beenden710710 Wird geladen... Wird geladen... Wird verarbeitet... HinzufĂŒgen Möchtest du dieses Video spĂ€ter noch einmal ansehen? Wenn du bei YouTube angemeldet bist, kannst du dieses Video zu einer Playlist hinzufĂŒgen. Anmelden Teilen Mehr Melden Möchtest du error propagation dieses Video melden? Melde dich an, um unangemessene Inhalte zu melden. Anmelden Transkript Statistik 5.711 Aufrufe 20 Dieses Video gefĂ€llt dir? Melde dich bei YouTube an, damit dein Feedback gezĂ€hlt wird. Anmelden 21 9 Dieses Video gefĂ€llt dir nicht? Melde dich bei YouTube an, damit dein Feedback gezĂ€hlt wird. Anmelden 10 Wird geladen... Wird geladen... Transkript Das interaktive multiplying error by Transkript konnte nicht geladen werden. Wird geladen... Wird geladen... Die Bewertungsfunktion ist nach Ausleihen des Videos verfĂŒgbar. Diese Funktion ist zurzeit nicht verfĂŒgbar. Bitte versuche es spĂ€ter erneut. Veröffentlicht am 13.05.2013How to multiply quantities with uncertaintiesWLU PC131The original document can be seen here:http://denethor.wlu.ca/pc131/uncbeam_... Kategorie Bildung Lizenz Creative Commons-Lizenz mit Quellenangabe (Wiederverwendung erlaubt) Mehr anzeigen Weniger anzeigen Wird geladen... Autoplay Wenn Autoplay aktiviert ist, wird die Wiedergabe automatisch mit einem der aktuellen VideovorschlĂ€ge fortgesetzt. NĂ€chstes Video Physics - Chapter 0: General Intro (9 of 20) Multiplying with Uncertainties in Measurements - Dauer: 4:39 Michel van Biezen 4.842 Aufrufe 4:39 Calculating Uncertainties - Dauer: 12:15 Colin Killmer 11.475 Aufrufe 12:15 11 2 1 Propagating Uncertainties Multiplication and Division - Dauer: 8:44 Lisa Gallegos 4.954 Aufrufe 8:44 uncertainty in calculations - Dauer: 17:07 UNB Saint John Physics 673 Aufrufe 17:07 Uncertainty Calculations - Division - Dauer: 5:07 Terry Sturtevant 7.300 Aufrufe 5:07 Uncertainty & Measurements - Dauer: 3:01 TruckeeAPChemistry 19.103 Aufrufe 3:01 PHY118 sig figs and uncertainty help part2 - Dauer: 7:20 Fizik
be down. Please try the request again. Your cache administrator is webmaster. Generated Fri, 14 Oct 2016 06:15:55 GMT by s_ac15 (squid/3.5.20)