Hey guys, I'm having a problem with my lab report write-up. The purpose of the lab is to find the value of g which should be around 9.8 m/s^2. This was found by releasing a cart from rest on an inclined plane and measuring the time it took to travel across a certain distance. I got the acceleration on the plane but my g is much higher than 9.8 which I believe is due to not correctly calculating the angle from the heights.
d = 1/2*a*t^2
a = gsin(theta)
The Attempt at a Solution
I have plotted d vs t^2 and got a value of 3.2 m/s^2.
using d = 1/2*a*t^2
a = 2 (3.2 m/s^2)
a = 6.4 m/s^2
here is where i'm having the problem. We were told to take measurements of the height from where it started to where we stopped timing.
Using this I got:
Sin(theta) = 13.04-9.2/69.47 = 0.055
using a = gsin(theta)
g = 6.4 m/s^2 / 0.055
g = 115 m/s^s
As you can see my g is way off from the theoretical value. I maybe doing something wrong. Any help would be much appreciated. Thanks for taking the time out to read it =)