This is a very basic question. I have been asked to find the uncertainty for $F_{c,th}=\frac{4\pi^2mr}{T^2}$. What would be the formula for $\delta F_{c,th}$ given that $m$, $r$ and $T$ are measured values.
What I tried: I only calculated uncertainty based on the operations between the measured variables. After using uncertainty rules, I got: $$F_{c,th}= \frac{\delta r}{|r|}+\frac{\delta m}{|m|}+2\frac{\delta T}{|T|}$$ Is this correct?
The left side should be $\frac {\delta F_{c,th}}{F_{c,th}}$ You took the log and then the differential on the right and should do the same on the left.