How Can I Relate Measurements from a Gyroscope and Accelerometer?

[gup08]

Hi Physics Forums,

I have two sensors that I am trying to relate:
- One gyroscopes measuring angle
- Two accelerometer measuring linear speed

I have put the gyroscope in the middle of a long rectangular tube. While the accelerometers are at each end of this tube.

I need help getting started in using the measurement from one accelerometer and the gyroscope to predict the measurement from the second accelerometer or to use the accelerometer to predict the measurement from the gyroscope.

The movement will consist of rotating the beam 15 deg each way about the middle of the beam. Illustration is shown:

For the gyroscope I would have to convert the angle to tangential acceleration. And that is what I can use to compare directly to the linear acceleration of the accelerometer?

How could also go from the linear acceleration given by the accelerometer to angular acceleration?

 

[mfb]

And that is what I can use to compare directly to the linear acceleration of the accelerometer?

Assuming gravitational acceleration doesn't play a role: Sure.

How could also go from the linear acceleration given by the accelerometer to angular acceleration?

The same as for the opposite direction, the two just differ by a factor r, the radius where the linear speed/acceleration is evaluated.