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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Total error in a measurement.

**Physics Forums | Science Articles, Homework Help, Discussion**