Panama City, Panama
Location: Hotel
Step 1: Calculating the average acceleration
|
Measurement Time |
Heights (m) |
T (s) |
G(m/s�) |
|
1 |
0.567 |
0.361 |
8.70 |
|
2 |
0.568 |
0.324 |
10.8 |
|
3 |
0.571 |
0.348 |
9.43 |
|
4 |
0.572 |
0.336 |
10.1 |
|
5 |
0.567 |
0.330 |
10.4 |
|
6 |
0.567 |
0.330 |
10.4 |
|
7 |
0.569 |
0.346 |
9.51 |
|
8 |
0.568 |
0.348 |
9.38 |
|
9 |
0.570 |
0.343 |
9.69 |
|
10 |
0.568 |
0.349 |
9.33 |
|
11 |
0.567 |
0.342 |
9.70 |
|
12 |
0.569 |
0.343 |
9.67 |
Step 2: Standard Deviation for Average "g" value
|
Trials |
Values |
T1 |
T1^2 |
|
1 |
8.70 |
1.059 |
1.122 |
|
2 |
10.80 |
-1.041 |
1.083 |
|
3 |
9.43 |
0.329 |
0.108 |
|
4 |
10.10 |
-0.341 |
0.116 |
|
5 |
10.40 |
-0.641 |
0.411 |
|
6 |
10.40 |
-0.641 |
0.411 |
|
7 |
9.51 |
0.249 |
0.062 |
|
8 |
9.38 |
0.379 |
0.144 |
|
9 |
9.69 |
0.069 |
0.005 |
|
10 |
9.33 |
0.429 |
0.184 |
|
11 |
9.70 |
0.059 |
0.004 |
|
12 |
9.67 |
0.089 |
0.008 |
|
Sum |
117.11 |
|
3.657 |
|
Average |
9.759 |
|
|
|
Standard Deviation |
0.5766 |
Final Values:
|
Final Value +- SD: |
9.759 +- 0.577 (m/s�) |
|
Accepted Value: |
9.797 (m/s�) |
|
Percent Error: |
0.39% |
Step 3: Expanding - Calculating the Radius of the Earth by using our experimentally obtained value
|
Mass Of Earth: |
5.98E+24 kg |
|
Gravitational Constant: |
6.67E-11 N*m�/kg� |
|
Radius of Earth (experimental): |
6393036 |
|
Radius of Earth (accepted): |
6.39E+06 |
|
Percent Error: |
0.06% |
