Say is 270, is 315 and is 0, for accelerometer known tilt angles. If all tilt an

Question

Say is 270, is 315 and is 0, for accelerometer known tilt angles.

If all tilt angles of an accelerometer are known (, , ) where is the angle of the x-axis and the horizon, is the angle of the y-axis and the horizon, and is the angle between the z-axis and gravitiational vector, how can the acceleration of each axis (x,y,z) be computed given these angles? These sensed acclerations will then be used as a prediction of how the real accelerometer will behave at these angles. Here I assumed standard gravity of 9.80665 m/s^2.

Explanation / Answer

The force of gravity acts perpendicular to earths surface i.e. along z axis

Acceleration of each axis is computed as(the angles are in degrees)

x axis::9.80665 sin 270= -9.80665 m/s^2

y axis:: 9.80665 cos 315= 6.93435 m/s^2

z axis:: sqrt(x^2+y^2) =12.0106 m/s^2

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