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Mathematics 18 Online
OpenStudy (idku):

Algebra Question... my heads are just not spinning right

OpenStudy (idku):

Lets say I have an actual velocity (ontained in a laboratory experiment) \(V_a\) And I have a theoretical velocity (obtained by some calculations) \(V_t\) What is the percent error of the theoretic veloicty FROM the theoretic velocity.

OpenStudy (idku):

Is it: \((V_a-V_t)/V_a\) Or is it: \((V_a-V_t)/V_t\) (what am I dividing by?)

OpenStudy (idku):

I know that how off the \(V_t\) from \(V_a\) is, is given by: \(V_a-V_t\)

OpenStudy (idku):

My guess that \(V_a\), because we are fidning the error in terms of \(V_a\). Am I right or crazy?

OpenStudy (idku):

I mean that \(V_a\) is in the denominator.

OpenStudy (fakereality):

I should make jokes, because no body else is replying.

OpenStudy (idku):

I would assure that to tell me this directly wouldn't violate the site's policy....

OpenStudy (idku):

hehe

OpenStudy (fakereality):

huehuehue

OpenStudy (fakereality):

It probably would, but, it's not like anyone cares. XD

OpenStudy (idku):

Fake, get a life. I am trying to do H/W and you are fooling around.

OpenStudy (fakereality):

Sorry for having more of a life than your lifeless husk.

OpenStudy (idku):

REPOSTING THE QUESTION: Lets say I have an actual velocity (ontained in a laboratory experiment) \(V_a\) And I have a theoretical velocity (obtained by some calculations) \(V_t\) What is the percent error of the theoretic veloicty FROM the actual velocity? Is it: \(E=(V_a-V_t)/V_a\) Or is it: \(E=(V_a-V_t)/V_t\) (what am I dividing by?)

OpenStudy (fakereality):

Like I would help you, after you being a jerk. XD

OpenStudy (tkhunny):

The question only wants to know the percent error compared to the theoretical velocity. Fundamentally, this make the denominator the Theoretical Velocity. The only problem with this is a Theoretical Velocity of zero! It's possible you do not care about the sign, so maybe \((V_{a} - V_{t})\) would be more appropriately written, \(|V_{a} - V_{t}|\).

OpenStudy (idku):

I haven't seen cases where theoretical velocity is 0, although that certainly doesn't exclude such a case.... So, I am trying to say that the theoretic veloicty is "wrong" and actual velocity is "correct" So \( |V_t-V_a|\div V_t\) So we are dividing by the "wrong" ?

OpenStudy (danjs):

yaeh i was looking at that sentence

OpenStudy (danjs):

they take the exact value as the experimental one, the theoretical is approximate

OpenStudy (danjs):

the difference in the two values is some percent of the exact value

OpenStudy (idku):

Oh, I get it, we are dividing by the "correct" value.

OpenStudy (idku):

I was thinking about it previously, but I am just tired, excuse me. TNX

OpenStudy (danjs):

i was just reading What is the percent error of the theoretic veloicty FROM the actual velocity a few times

OpenStudy (idku):

Yeah I sound abstruse sometimes :)

OpenStudy (danjs):

yeah it sounded funny, because the exact value i think i always used the calculation, you want to know the error in your experiment compared to theory calculation,

OpenStudy (danjs):

you will always have some uncertainty in any experiment measurement

OpenStudy (idku):

Yeah, but I was thinking of a ther value as of an unabsolute because I don't really know it whereas experimental value is more tanglible or obtainable... I guess you are right though, experiment is kind of wrong, systematic errors and so forth... thank you for your time.

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