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Centripedal acceleration

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  1. Oct 28, 2014 #1
    I have attached a sensor measuring acceleration to a bicycle wheel. I was hoping to be able to trace out the circle with accurate measurements for the radius of the bike wheel by integrating my data however I have realised that my sensor is of course undergoing centripetal acceleration however as the x and y axis of the sensor is rotating with the device ( it's a dual axis device) then thre is a problem is I simply plot x measurements against y measurement. Is there a way around this?
     
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  3. Oct 28, 2014 #2

    mfb

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    What do you want to measure? A way around what?

    Your sensor will always see centripetal acceleration going in the same direction - let's call that direction "x" (towards the center of the bike). For typical velocities of a bike, this will be by far the largest contribution to the measured accelerations. Smaller contributions come from gravity and accelerations of the bike.
     
  4. Oct 28, 2014 #3
    Well I would like to trace out the displacement of sensor and so get a circle by intergrating acceleration twice. But As you say I have rotational acceleration etc is there anyway I can convert this to linear displacement so that I trace out the wheel circle of radius 30 cm? I am using a dual axis device
     
  5. Oct 28, 2014 #4

    mfb

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    If you can neglect a change in the speed of the bike, centripetal acceleration should be constant and can be subtracted.
    Otherwise, you'll have to add some assumptions about your motion I think.
     
  6. Oct 29, 2014 #5
    Well I know that it would be subtracted out to then give tangential acceleration, however as the axis are moving with sensor on wheel of bike I am a bit confused how I can get an overall displacement. I am thinking that because these axis move with sensor how can I trace out an overall circle?
     
  7. Oct 29, 2014 #6
    To be honest I think i have an idea but I am not sure if there is something I am not considering... This is my steps of my approach that I am thinking to take
    a. remove centripedal acceleration
    b. Using my frequency (it at some point 3 Hz) of bike turn I am able to work out how much angle it has travelled at any given time.
    c. I know that axis travels with object so to the convert to overall axis I convert between my axis and inertial axis
    9268836e8d0976bb16bbe0e785c4c6dd.png
    f6bf779ae61390484a8acbe2e707f965.png

    is this correct approach.
     
  8. Oct 30, 2014 #7

    mfb

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    If you know the rotation frequency and the radius of the wheel, you are done - this gives you the velocity and integrating over that gives the displacement.
    Based on the velocity you get, you can also check if the centripetal acceleration matches the expected value.
     
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