How do we calculate experimental errors?

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Homework Help Overview

The discussion revolves around calculating experimental errors in the context of a physics experiment involving graphs of distance and time, as well as the determination of acceleration. Participants are exploring how to quantify error and the relevant formulas or concepts associated with it.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants are questioning how to estimate measurement errors and what specific values or sources of error should be considered. There is mention of using instruments and the potential for misreading measurements. Some participants are also discussing the formula for percentage error and its components.

Discussion Status

There are various interpretations of the question regarding what constitutes experimental error, with some participants seeking clarity on whether it refers to the calculated acceleration or the experimental setup itself. Guidance has been offered on estimating measurement errors and considering theoretical variations, but no consensus has been reached on a specific approach.

Contextual Notes

Some participants express confusion due to a lack of familiarity with the concept of experimental errors, indicating that they may not have all the necessary information or context to fully address the problem.

InSpiRatioNy
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Homework Statement


The problem let's us graph and give values for s(m) (distance) t(s) time and delta t (s) velocity. After plotting my second graph (including error bars) I used it to get the slope and the acceleration. But then it asks to determine the experimental error. Is there any formula for that? And how should I do it?


Homework Equations


That's what I want to know.


The Attempt at a Solution


Havne't done anything because I don't know what equations. It's urgent please help!
 
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InSpiRatioNy said:

Homework Statement


The problem let's us graph and give values for s(m) (distance) t(s) time and delta t (s) velocity. After plotting my second graph (including error bars) I used it to get the slope and the acceleration. But then it asks to determine the experimental error. Is there any formula for that? And how should I do it?

Homework Equations


That's what I want to know.

The Attempt at a Solution


Havne't done anything because I don't know what equations. It's urgent please help!

You need to estimate your measurement errors. What were the increments on the dials of the instruments you used. How might you have misread them if viewed from different angles. What other sources of error would make your readings less accurate. How do your results vary from theoretical considerations? Things like that.
 
I don't specifically understand the question (I'm tired), but error is always calculated as:

[(actual - calculated) / (calculated)] * 100 = %error

If it seems tricky to remember, just remember that getting a low reading should give a negative error. This will help you remember how the numerator goes. The denominator is the calculated result so that you and your colleagues are all working on the same relative scale.

Understanding why the equation is set like that will help you remember it.

You need to estimate your measurement errors. What were the increments on the dials of the instruments you used. How might you have misread them if viewed from different angles. What other sources of error would make your readings less accurate. How do your results vary from theoretical considerations? Things like that.
That's usually called a tolerance. The tolerance is a measure of your precision whereas error is a measure of accuracy.
 
LowlyPion said:
You need to estimate your measurement errors. What were the increments on the dials of the instruments you used. How might you have misread them if viewed from different angles. What other sources of error would make your readings less accurate. How do your results vary from theoretical considerations? Things like that.
hmm... That's odd I didn't use any instruments, I'm not really understanding what they are asking for though. Do they mean the error of the VALUE of the acceleration I calculated? Or do they mean the error of the acceleration in the experiment itself?


ShawnD said:
I don't specifically understand the question (I'm tired), but error is always calculated as:

[(actual - calculated) / (calculated)] * 100 = %error

If it seems tricky to remember, just remember that getting a low reading should give a negative error. This will help you remember how the numerator goes. The denominator is the calculated result so that you and your colleagues are all working on the same relative scale.

Understanding why the equation is set like that will help you remember it.


That's usually called a tolerance. The tolerance is a measure of your precision whereas error is a measure of accuracy.
Well, if I'm not given the actual value, is there another way to get it?

----

Most of the given question I poseted here https://www.physicsforums.com/showthread.php?t=272542 Everything is pretty much in there except that I didn't give all the values for the things.

I'm pretty confused with this question as well, I've never done experimental errors, and I'll have to search my text one more time but it's confusing me because I'm in advance physics now, and this seems to be begining.
 

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