I have a question that has been bugging me lately. How is it that you determine the total error of a measurement?(adsbygoogle = window.adsbygoogle || []).push({});

For example, if we are trying to measure the flow rate of water coming out of a hose. We let the water flowing through the hose fill a graduated cylinder and measure the time it takes to do it. So we would have:

Flow rate = Volume / Time

However lets say that we need to know the error of this measurement. Would we say that the total error is:

Error = Ev*dQ/dv + Et*dQ/dt (d's are partial derivatives)

Where,

Q = function for flow rate

Ev = max error from volume measurement

Et = max error of time measurement

Error = total error

So the formula would ultimately be:

Error = Et*-V/t^2 + Ev*1/t

Would this be correct? Haven't done this in a while and its just not making sense to me?

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# Total error in a measurement.

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