# Spring Constant

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8/29/2010
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```							                                                          Name:

Insert your values for equilibrium position, stretched position, and
mass.

Stretched         Displacement                             Equilibrium
Mass (kg)                                                 Force (N)
Position (m)            (m)                                 Position (m)

0.050          1.772               0.003               0.490                1.775
0.100          1.769               0.006               0.980
0.150          1.766               0.009               1.470
0.200          1.763               0.012               1.960
0.250          1.760               0.015               2.450
0.300          1.757               0.018               2.940
0.350          1.755               0.020               3.430
0.400          1.752               0.023               3.920
0.450          1.748               0.027               4.410
0.500          1.745               0.030               4.900

Force vs. Displacement                        y = 165.41x
6.000
5.000
4.000
Force (N)

3.000
2.000
1.000
0.000
0.000    0.005         0.010    0.015     0.020        0.025   0.030         0.035
Displacement (m)
Insert your values for equilibrium position, stretched position, and mass, and
spring constant.

Mass of Glider and Magnet (kg)                                        0.194
Equilibrium Position (m)                                              1.780
Spring Constant from graph (N/m)                                     165.410
Theoretical Peak (Hz)                      (1/2π) x √(k/m)            4.650

Frequency (Hz)       Card Position (m)       Amplitude (m)
3.580                  1.783                0.003                                               Frequency vs. Amplitude
3.690                  1.783                0.003                                0.016
3.800                  1.784                0.004
3.900                  1.785                0.005
0.014
3.990                  1.786                0.006
4.100                  1.786                0.006
0.012
4.180                  1.788                0.008
4.300                  1.794                0.014
4.400                  1.794                0.014                                0.010

Amplitude (m)
4.500                  1.792                0.012
0.008
4.630                 1.789                 0.009
0.006
4.730                 1.789                 0.009
4.820                 1.788                 0.008                               0.004
4.940                 1.786                 0.006
5.030                 1.785                 0.005
0.002
5.120                 1.785                 0.005
5.210                 1.784                 0.004
0.000
5.320                 1.783                 0.003
5.440                 1.782                 0.002                                       3.00     3.50   4.00        4.50        5.00   5.50   6.00
5.550                 1.782                 0.002                                                              Frequency (Hz)
5.700                 1.782                 0.002

```
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