- #1

- 10

- 0

## Homework Statement

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.

## Homework Equations

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.

http://imageshack.us/photo/my-images/4/graph1p.jpg/

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.

http://imageshack.us/photo/my-images/522/graph2e.jpg/

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 =)