Say is 270 is 315 and is 0 for accelerometer known tilt angl

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.

Solution

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