Ask your own question, for FREE!
Mathematics 12 Online
OpenStudy (anonymous):

Help!!!

OpenStudy (anonymous):

sup

OpenStudy (anonymous):

OpenStudy (anonymous):

Its Activity 3 is the only thing I need help with

jimthompson5910 (jim_thompson5910):

The experimental period is the average of the 3 periods you found above (110s, 100s, 69s) since these were the periods you got in the experiment. This is for the longer pendulum. You need to repeat the experiment for the shorter pendulum.

OpenStudy (anonymous):

I have them too just a second

jimthompson5910 (jim_thompson5910):

ok

OpenStudy (anonymous):

I haven't changed this one into seconds yet

OpenStudy (anonymous):

jimthompson5910 (jim_thompson5910):

this is for the shorter pendulum right?

OpenStudy (anonymous):

yes

jimthompson5910 (jim_thompson5910):

ok so the average of those times will be the average period for the shorter pendulum

jimthompson5910 (jim_thompson5910):

and that will be an experimental period the theoretical period will come from the formula given

OpenStudy (anonymous):

ok

jimthompson5910 (jim_thompson5910):

you will need to solve for t first afterwards, you would plug in the given length of the pendulum into \(\Large \ell\) then evaluate

OpenStudy (anonymous):

ok

jimthompson5910 (jim_thompson5910):

If you're curious (or stuck) on how to solve for t, here's one way to do it: \[\Large \ell = \frac{980t^2}{4\pi^2}\] \[\Large \ell*4\pi^2 = 980t^2\] \[\Large 980t^2 = \ell*4\pi^2\] \[\Large t^2 = \frac{\ell*4\pi^2}{980}\] \[\Large t = \sqrt{\frac{\ell*4\pi^2}{980}}\]

jimthompson5910 (jim_thompson5910):

you're welcome

OpenStudy (anonymous):

ok so im still a little confused sorry

jimthompson5910 (jim_thompson5910):

where at?

OpenStudy (anonymous):

this last part still the activity 3

OpenStudy (anonymous):

im confused on how to solve the equation and how to average the times

jimthompson5910 (jim_thompson5910):

to average the 3 times, you add up the times, then divide that sum by 3

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

like all of them for each expirement

jimthompson5910 (jim_thompson5910):

for 1 coin, you average the 3 trials to get the average time for 1 coin (ignore 2 coins or 3 coins) then for 2 coins, you find the average (ignore 1 coin or 3 coins) etc etc

OpenStudy (anonymous):

ok thanks but how do i do the next step

jimthompson5910 (jim_thompson5910):

to find the theoretical period?

OpenStudy (anonymous):

yeah

jimthompson5910 (jim_thompson5910):

what is the length of the longer pendulum?

OpenStudy (anonymous):

25.6cm

OpenStudy (anonymous):

10 inches

jimthompson5910 (jim_thompson5910):

For the longer pendulum, \(\Large \ell = 25.6\) so plug it in and evaluate to find t

OpenStudy (anonymous):

ok and then do the same thing with the smaller pendulum?

jimthompson5910 (jim_thompson5910):

yes

OpenStudy (anonymous):

ok thank you again lol

jimthompson5910 (jim_thompson5910):

you're welcome

OpenStudy (anonymous):

ok for the first on would the answer be 1.01552 if so how do i like down size this? And is the second one 0.715268

OpenStudy (anonymous):

or is it different cause i just did it online and gat 501.376 for the second one

OpenStudy (anonymous):

1010.65 for the first one

jimthompson5910 (jim_thompson5910):

for \(\Large \ell = 25.6 \ \text{cm}\) I'm getting \(\Large t = 1.015516100 \ \text{seconds}\) for \(\Large \ell = 10 \ \text{cm}\) I'm getting \(\Large t = 0.6346975625 \ \text{seconds}\)

OpenStudy (anonymous):

the second one isnt 10cm its 12.7cm

jimthompson5910 (jim_thompson5910):

oh ok, one sec

OpenStudy (anonymous):

alright

jimthompson5910 (jim_thompson5910):

for \(\Large \ell = 25.6 \ \text{cm}\) I'm getting \(\Large t = 1.015516100 \ \text{seconds}\) for \(\Large \ell = 12.7 \ \text{cm}\) I'm getting \(\Large t = 0.7152678272 \ \text{seconds}\) both times are approximate

OpenStudy (anonymous):

so in other words they are pretty close and do i just put the whole thing in my graph

jimthompson5910 (jim_thompson5910):

yeah the experimental periods should be close to the theoretical periods (but will never line up exactly)

OpenStudy (anonymous):

ok thanks so much you helped a lot it makes more sense.

jimthompson5910 (jim_thompson5910):

I'm glad I was able to help out.

OpenStudy (anonymous):

you are like a lifesaver lol

jimthompson5910 (jim_thompson5910):

lol glad I could be

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!