Physics Project (LAB REPORT)
mustafa1413
physics_final.pptx
PHYS 2010/11
Final Project
Mustafa Alawi
Abdullah Alkahtim
Marjorie Taylor
Tiffany Toombs
SPRING to it!
Spring Constant & Hooke’s Law
Hooke’s Law is F=-kx with k being the spring constant and x referring to displacement.
Hooke’s law is the simplest way to find the spring constant.
It is also possible to find the spring constant without displacement using m=(k/4π2)T2 by getting the slope of the graph m by T2 and multiplying by 4π.
Experiment and Purpose
Our experiment was to determine the spring constant of a certain spring.
We used multiple weights and measured the time to determine period.
Theory
Our theory was that if compare the average mass with the average Period2 we would be able to find the spring constant.
Let’s Do It!
Items needed:
Spring
Stand
Assorted Masses
4. Timer (We used our phones)
Experiment
First, we hung the spring from the stand so the weights would not touch the floor.
Next, we started with 50 g and timed the period for 10 oscillations. We then took the average.
Then, we repeated this for 70g, 100g, 120g, 150g, 200g, 250g, 300g, 400g, and 450g.
The data was graphed and the slope found. We multiplied the slope by 4π2 to get the spring constant.
Data
| Mass (kg) | Time10 (s) | Time(s) | T2 |
| .05 | 7 | .7 | .490 |
| .07 | 7.05 | .705 | .497 |
| .1 | 8.23 | .823 | .677 |
| .12 | 8.50 | .85 | .723 |
| .15 | 8.95 | .895 | .801 |
| .2 | 9.97 | .997 | .994 |
| .25 | 11.07 | 1.107 | 1.225 |
| .3 | 11.92 | 1.192 | 1.421 |
| .4 | 13.35 | 1.335 | 1.782 |
| .45 | 14.02 | 1.402 | 1.966 |
7
Graph
Equations
Average Mass: 0.209 kg
Average T10: 10.006s
Average T: 1.0006s
T2: 1.0012
Slope=0.2638
k=(0.2638)(4π2)=10.41
WD=2πƒ=2π/T=2π/1.006=6.28J
Uncertainties
S(m)=2g
S(T10)=1s
Fu(m)=S(m)/mave=0.002/.209=0.0096
Fu(T10)=S(T10)/T10ave=1/10.006=.0999
Fu(k)=10.41*0.0999=1.04
Fu(k)=11±1.04
Data Analysis
The data showed the spring constant for the spring was 10.41 N*m
Our work done by the spring was 6.28J
Conclusion
Our estimated spring constant fit into our functional uncertainty so we can assume the experiment was a success.
Our spring and weights rather worn so that could have affected our final results.
