Does Object Size Affect Measurement Errors?

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Larger objects tend to have the same absolute measurement error as smaller objects, as absolute error is determined by the measuring tool's precision rather than the object's size. However, relative measurement error, which is the absolute error divided by the object's size, is likely to be smaller for larger objects. This is because the ratio of absolute error to the larger measurement yields a lower relative error. The discussion highlights the importance of understanding both types of errors in the context of measurement. Ultimately, the impact of object size on measurement errors varies based on the specific circumstances of the measurement.
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Homework Statement



"Which will have a larger absolute measurement error, a larger object or a smaller object?"
"Which will have a larger relative measurement error, a larger object or a smaller object?"

Homework Equations



Relative error:
δ(A)/A = δ(B)/B + δ(C)/C

The Attempt at a Solution



Im trying to answer this for my lab report in physics, and I guess I am confused by the question.
Absolute error would be the same regardless of size because its just the amount you measuring tool might be off.
Relative error since it is a ratio correct? Or since relative error is δ(A)/A or absolute error over the measured/accepted quantity, would it be smaller for larger objects?

Confusion abound. Please help.
 
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dwdoyle8854 said:
Absolute error would be the same regardless of size because its just the amount you measuring tool might be off.
Possibly, but it would depend on what you are measuring and how you measure it, too.
Relative error since it is a ratio correct? Or since relative error is δ(A)/A or absolute error over the measured/accepted quantity, would it be smaller for larger objects?
Again, it will depend.
 
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