Please help ASAP! Don't have much time. Data and graph included. Calculate the slope of the line in your graph of the square of the period of the pendulum vs. length of the string [slope = (y2-y1)/(x2-x1)]. Galileo figured out the equation that describes the behavior of a pendulum. If you square both sides of the equation, you will find that the slope of the line is related to the acceleration due to gravity (g). Specifically, slope = 4pie^2/g. Use your data to calculate g. How does it compare with the accepted value of 9.807 m/s2?
Calculate the percent error and show your work.

Question

Please help ASAP! Don't have much time. Data and graph included. Calculate the slope of the line in your graph of the square of the period of the pendulum vs. length of the string [slope = (y2-y1)/(x2-x1)]. Galileo figured out the equation that describes the behavior of a pendulum. If you square both sides of the equation, you will find that the slope of the line is related to the acceleration due to gravity (g). Specifically, slope = 4pie^2/g. Use your data to calculate g. How does it compare with the accepted value of 9.807 m/s2? 
Calculate the percent error and show your work.

anonymous · Answer

attachment

anonymous · Answer

Data

anonymous · Answer

@Mashy Do happen to have the time to help with this? I think the slope is around 13.5ish but when I input that into the equation and solve for g it's nowhere near the accepted value. What am I doing wrong?

surry99 · Answer

Lets start with ...what are the units involved for these numbers?

surry99 · Answer

ok, show me your calculation of the slope including units please.

anonymous · Answer

I did (475.676 m/s - 675.74 m/s)/(50m-35m)

anonymous · Answer

Hold on, switch the 475.676 and the 675.74

surry99 · Answer

ok did you actually do the experiment and this is a lab question?

anonymous · Answer

yes

anonymous · Answer

The values on the right are actually the period. Sorry! I asked this yesterday and I was doing something else before I saw that someone had finally replied so I got a little discombobulated. Thank you so much for helping. I appreciate it.

surry99 · Answer

ok so you measured the period in seconds and how about the length of the string?

anonymous · Answer

cm

surry99 · Answer

ok...so your data looks odd...
based on what you are telling me ...the slope of your line is...
(675-475)s^2/(.50 - .35)m = 1333 s^2/m...
I think your data for t^2 is wrong...
do you still have your raw data from the experiment?

surry99 · Answer

still there?