|
I have a question relating to uncertinity.The equation used is period of a pendulum. For example consider time to complete 10 cycles by the pendulum as 19.6 (+/- 0.2)s.
|
|||||
|
This question is unlikely to help any future visitors; it is only relevant to a small geographic area, a specific moment in time, or an extraordinarily narrow situation that is not generally applicable to the worldwide audience of the internet. For help making this question more broadly applicable, see the FAQ.
|
Given $X = f(A,B,C,\ldots)$ where $f$ is some function, the error in $X$ is given by $$(\Delta X)^2= \left(\frac{\partial f}{\partial A}\cdot\Delta A\right)^2 + \left(\frac{\partial f}{\partial B}\cdot\Delta B\right)^2 + \left(\frac{\partial f}{\partial C}\cdot\Delta C\right)^2 + \cdots$$ where $\Delta i$ is the error in $i$. So the period is given by $$T = \frac{t}{n}$$ Where $t$ is the total time, and $n$ is the number of trials. So, $$(\Delta T)^2 = \left(\frac{1}{n}\cdot\Delta t\right)^2+ 0$$ because $\Delta n$ is $0$. Then apply same method to further functions of $t$ and $n$. |
|||||||||||
|
