Spring Constant

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scope of work template
							                                                          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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