How do we calculate experimental errors?

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To calculate experimental errors, one must estimate measurement errors based on instrument increments and potential misreadings. The formula for percentage error is given as [(actual - calculated) / (calculated)] * 100. It's important to distinguish between tolerance, which measures precision, and error, which measures accuracy. If the actual value is unknown, alternative methods for estimating error may be necessary. Understanding these concepts is crucial for accurately reporting experimental results.
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.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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