Register to reply

Finding gravity through experimental data

by BayernBlues
Tags: data, experimental, gravity
Share this thread:
Oct13-07, 03:46 PM
P: 66
1. The problem statement, all variables and given/known data
Experimentally measured time of fall
vs. distance for a freely falling object
Distance, x (m) Time, t (s)
0.1 0.148
0.2 0.196
0.3 0.244
0.4 0.290
0.5 0.315
0.6 0.352
0.7 0.385
0.8 0.403
0.9 0.429
1.0 0.451
Let the mathematical model be: x = 0.5gt^2 and assume that x = 0 at t = 0 :
a. In the light of what you learnt in problem 1.1 (parts a and b) and the form of the equation
x = 0.5gt^2 , discuss (without calculations) two different methods that can be used to find g, the
acceleration due to gravity, from a straight line graph representation. In each method, indicate
explicitly the vertical variable, horizontal variable, slope, and intercept. Draw sketches.
b. Find a numerical estimate for g based on the above table, using the EXCEL program?

2. Relevant equations

x = 0.5gt^2

3. The attempt at a solution

I know that the value of g is 9.81 m/s^2 but this is asking how to show it through experimental data and graph. I think maybe taking the ln of both sides to change this into y=mx+b form might help but am unsure. Also, I thing g would be the constant in the equation if it was changed to y = mx + b form therefore it'd be the slope value.
Phys.Org News Partner Science news on
Scientists develop 'electronic nose' for rapid detection of C. diff infection
Why plants in the office make us more productive
Tesla Motors dealing as states play factory poker
Gib Z
Oct13-07, 08:18 PM
HW Helper
Gib Z's Avatar
P: 3,348
It gives you the values of x and t, you have the equation that relates them. Solve for g.

Register to reply

Related Discussions
Experimental data for.. Special & General Relativity 7
Graphing experimental Data General Physics 3
Experimental data in theoretical PhD? Academic Guidance 2