Accuracy of Gravity: -9.8m/s/s +- _______m/s/s

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The discussion revolves around determining the accuracy of the gravitational constant, -9.8 m/s², and how to incorporate it into calculations involving force (f=mg). It highlights that the accuracy of gravity can vary based on geological and altitude factors, but these are often not significant in controlled lab settings. Participants suggest using the accuracy of the measured mass when calculating total accuracy in the equation. The total accuracy is derived from the ratio of the mass's accuracy to its value, while the gravitational constant can be used as either -9.8 m/s² or 9.8 m/s², depending on the context. Understanding these nuances is crucial for accurate lab results.
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I am working on a lab and I need to know the accuacy of gravity=-9.8m/s/s? So I need the +- blank after the -9.8m/s/s. -9.8m/s/s +- _________m/s/s

Thank you

Stephen Doty
 
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Is there an accuracy error for gravity? Or do you just use the other number's accuracy error as the error of accuracy when doing f=mg. So the m has an accuracy is +-.02g so when doing f=mg what do I do for the accuracy error of gravity in the equation: total accuracy error= accuracy error of m/m + accuracy error of gravity/g.
 
Just use the accuracy level of things you actually measure. g is not constant, it depends on geology and altitude among other things. But those aren't likely to be variables in your lab experiment.
 
So for the accuracy equation for the f=mg : total accuracy= (.00002kg)/0.2704kg + 0/(9.8m/s/s)

From the equation: total accuracy = accuracy of m/m + accuracy of gravity/g

And for f=mg do I use (-9.8m/s/s) or (9.8m/s/s)
 
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