For a projectile motion, $\displaystyle t=\sqrt{\frac{2y_0}{g}}$.

If you look at page 6 of the article(http://www.hep.vanderbilt.edu/~maguirc/Physics231/p231_lect3.pdf), the fractional uncertainty/relative uncertainty was calculated by $\displaystyle \frac{\sigma_t}{t}=\frac{1}{2}(\frac{\sigma_{y_0}}{y_0})$.

However, at page 8 of the article, the usual calculus to calculate absolute uncertainty: $\displaystyle \sigma_t=\frac{1}{2}(\frac{\sigma_{y_0}}{y_0g})$.

These two results does not agree with eath other, (Notice: $\displaystyle \sigma_{relative}=\frac{\sigma_{absolute}}{value}$).

What went wrong? which was the correct form of uncertainty? and why?


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.