I'm studying newton's Laws at the moment, and currently reading up on period of a pendulum:
T = 2π√(l/g)
If you can't read it. it's Period = 2 * PIE * Sqrt(l/g)
Where l is the length of the pendulum and g is the acceleration due to gravity.
I'm a bit confused when I finished an experiment on this topic. When I took my data and input it into excel as Period versus Length in meters and let excel put in a linear trend line and find the slope. I also did this again by rearranging the equation to give me T^2 .
T^2 = (4π^2 l) / g
Which reads, Period squared = ( 4 * PIE ^2 * l ) / g
Where l is the length of the pendulum and g is the acceleration due to gravity.
Again, I plotted it on excel and it gave me a linear trend line and a slope .
The slope reading is 3.6523 from my data. What I want to figure out is if this rearranged equation giving me that slope agree with the theory (g = 9.81 m/s^2)
How would I actually show this?
I would be very thankful if someone can explain it and answer it as well. Thanks in advance.