The discussion revolves around measuring the acceleration of gravity using a simple pendulum, with the period and length provided. Participants are exploring the relationship defined by the equation T= 2pi sqrt(l/g) and the implications of uncertainties in their measurements.
Some participants have identified errors in calculations and are seeking clarification on the correct approach to determining uncertainties. There is an ongoing exploration of different methods for calculating resultant error, with references to worst-case scenarios versus statistical approaches.
Participants are working under the constraints of provided measurements and uncertainties, and there is an emphasis on the need for clarity in mathematical expressions to avoid errors in results.
You seem to have made an error in that calculation. Please post all your steps.Robb said:Homework Statement
A simple pendulum is used to measure the acceleration of gravity using T= 2pi sqrt(l/g). The period was measured to be 1.24 +-0.02s and the length, l, to be 0.381 +-0.002m. What is the resulting value for g with it's absolute and relative uncertainty?
Homework Equations
T= 2pi sqrt(l/g)
The Attempt at a Solution
1.24= 2pi sqrt(.381/g)--------g=.381m/3.794m/s^2
You've made a mistake in your arithmetic.Robb said:T= 2pi sqrt(l/g)
1.24= 2pi sqrt(.381/g)
(1.24/2pi)=sqrt(.381/g)
(1.24/2pi)^2=.381/g
g=.381/3.794
g=.100m/s^2
I assume the uncertainty to be 0.002+0.02=0.022. I believe the relative uncertainty would be determined after I have found the value for g.
No, they don't.Robb said:I guess I'm not sure the difference? They both are both equal: g=.381/3.794. Correct?
It makes quite a difference in the value of g calculated from this experiment.Robb said:Wow! I guess I needed another set of parenthesis for the 2pi! Thanks so much for the help.