A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing

This Question is Closed

Outkast3r09
 one year ago
Best ResponseYou've already chosen the best response.0say i have a function given by \[f(x)=\frac{v_1+v_2(v_3^3)}{YG}\]

Outkast3r09
 one year ago
Best ResponseYou've already chosen the best response.0@JenniferSmart1 @jim_thompson5910

JenniferSmart1
 one year ago
Best ResponseYou've already chosen the best response.0for what class is this?

Outkast3r09
 one year ago
Best ResponseYou've already chosen the best response.0physics 2.. if i have 3 different avg velocities v1,v2 and v3 and \[U_t,U_d,U_Y,U_G\]

Outkast3r09
 one year ago
Best ResponseYou've already chosen the best response.0should i find the uncertainty of each velocity? that would seem to give a rounding error though =/

Outkast3r09
 one year ago
Best ResponseYou've already chosen the best response.0or would i go about with substituting in \[v=\frac{d}{t}\]

Outkast3r09
 one year ago
Best ResponseYou've already chosen the best response.0if i switch to d/tdw:1360620787006:dw

Outkast3r09
 one year ago
Best ResponseYou've already chosen the best response.0dw:1360620861233:dw

Outkast3r09
 one year ago
Best ResponseYou've already chosen the best response.0then would i do for d1,t1,d2,t2,d3,t3,Y,and G?

Outkast3r09
 one year ago
Best ResponseYou've already chosen the best response.0using partials of course

Outkast3r09
 one year ago
Best ResponseYou've already chosen the best response.0dw:1360620933162:dw

Outkast3r09
 one year ago
Best ResponseYou've already chosen the best response.0then using \[TUnc_{f(x)}=\sqrt{(\frac{\delta f}{\delta d_1}U_d})^2+(\frac{\delta f}{\delta t_1}U_t)^2+(\frac{\delta f}{\delta d_2}U_d)^2....\]... i feel you'd get strange units doing this =/

Outkast3r09
 one year ago
Best ResponseYou've already chosen the best response.0but mayben ot since the other v terms cancel out in each partial

Outkast3r09
 one year ago
Best ResponseYou've already chosen the best response.0my other idea was to find the uncertainties of each velocity, and then use those uncertainties in my final uncertainty but that would seem to set me up for round errors = not so accurate

TuringTest
 one year ago
Best ResponseYou've already chosen the best response.0Can't say I can really help here, sorry :(

Jemurray3
 one year ago
Best ResponseYou've already chosen the best response.0Yes, you're right. Generally speaking, if you have a function of a bunch of variables \[ f = f(x_i) \] Then the uncertainty in f is \[\sigma_f^2 = \sum_i \left(\frac{\partial f}{\partial x_i}\right) ^2\sigma_{x_i}^2\] This is true only if the variables xi are uncorrelated. If there is correlation between them, you must go to higher order error terms, but in this case that does not appear to be necessary.

Outkast3r09
 one year ago
Best ResponseYou've already chosen the best response.0@jemurray3 so in other words i should do d1 d2 d3 partials and t1 t2 t3 partials

Jemurray3
 one year ago
Best ResponseYou've already chosen the best response.0I don't see those variables in the expression you wrote. Whatever variables your function depends on, take the partials, multiply by the uncertainties, square them, and add them all up.
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.