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Calculating a calibration factor for velocity between Volts and m/s

  1. Nov 7, 2009 #1
    1. The problem statement, all variables and given/known data


    Hi, i have to calculate a calibration factor to change a measurement for velocity in volts from a vibration test rig into a measurement of velocity in m/s.




    2. Relevant equations

    I have data for velocity in volts and i am using the equation v=x'=awcos(wt) to calculate the velocity in m/s... however I can't find a CF for these two values...

    3. The attempt at a solution

    I tried some simple ideas... like the difference between them, however this is not constant over time. I tried the ratio between them but again this is not constant as the time changes. I tried both of these multiplied and divided by time...

    Has anyone got any ideas or is there a general concept for calculating a calibration factor i have overlooked?
     
  2. jcsd
  3. Nov 18, 2009 #2
    I have EXACTLY the same problem. I am given a dataset (A) of velocities in volts. I also have a dataset of displacements at time intervals of 1ms over a time period of 2s, giving 2000 readings.

    Since:
    x=asin(wt)
    v=x'=awcos(wt)


    I thought that I could use the fact that

    x * (w/tan(wt)) = awcos(wt) = v

    to generate a dataset (B) of velocities in m/s, then I should be able to find the calibration factor, CF using:

    CF = (Dataset B)/(Dataset A)

    HOWEVER, when I plot the velocities in m/s against time in s, the graph I get is a tan wave, but it should be a sin wave. This is extremely frustrating! Someone please help!
     
  4. Nov 19, 2009 #3
    I have since solved my problem this is what i used.

    The recorded velocity was given in volts and the velocity needs to be in m/s, a calibration factor can be determined to change the velocity from volts into m/s. The velocity in volts and in m/s has the same frequency, same sinusoidal wave but a different amplitude, so the calibration factor can be determined using equation 7.
    Calibration Factor=aωcosωt/(V_max cosωt) (7)
    This can be simplified to equation 8.
    Calibration Factor=aω/V_max (8)

    Multiplying a value of velocity recorded in voltage by this calibration factor will return a velocity in m/s.
     
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