I have to calculate g or find the acceleration of g using the slope of the trend line from the y vs. t^2 graph.
I had to use excel and did this for lab with data and use the equation excel came up with after i finished the graph, and I have no idea how to find the acceleration.
ALSO, I had to use each set to find g for each one, so the data for the falling object is totally seperate from the pendulum data, I just am required to find g for each one.
the equations I have to use i guess from excel look like this for timing the fall of a dropped object to determine acceleration of g.
y=0.676x + 0.082
R^2 = 0.966
then the second set of equations for finding the acceleration of g using a simple pendulum were these
y= 0.976x + 0.044
R^2 = 0.992
The Attempt at a Solution
I have tried everything, and it is supposed to be within a 25% discrepency of the book value of 9.8 m/s^2 for the acceleration of gravity. Everything I have tried has come not even close to that value.
in the lab we were given these equations under the timing the fall of a dropped object.
for this one I tried (1/2)(0.676)= .338 not a bit close to the 9.8
and these equations for the simple pendulum.
T= 2(pie) square root (L/g)
T^2 = 4(pie^2) (L/g) rearranged to L= (g/ 4(pie^2)) * T^2
slope = g / (4 (pie^2))
for this I tried slope being 0.976 (4*3.14^2) = g
38.49=g - which is was off.
I just cant figure out what formula I am supposed to use and what parts of the y= equations i am supposed to use to find this