Mobile Computing AndroidHello I was wondering if you could go over the gravity, accelerometer, magnetometer equtions. Maybe use an example on how the calculations would go about. Gravity equationRotationay =Matrix R[az.1axcos(pitch) 0 -sin(pitch)1cos(roll) sin(roll)aycos(pitch)0 -sin(roll) cos(roll)azsin(pitch)|| Magnetometer equationRotationmy =Matrix R[mz.cos(pitch) 0 -sin(pitch)|cos(yaw) -sin(yaw) 0sin(yaw)mxmy1cos(roll) sin(roll)cos(yaw)Mmzsin(pitch) 0cos(pitch)0 -sin(roll) cos(roll)1Pitch, roll known from accelerometerUnknown yaw can be determined from above equationsyaw, pitch, roll together determine the rotation matrix (3D orientation) of a system

Name: Mobile Computing AndroidHello I was wondering if you could go over the
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Description: Mobile Computing AndroidHello I was wondering if you could go over the gravity, accelerometer, magnetometer equtions. Maybe use an example on how the calculations would go about. Gravity equationRotationay =Matrix R[az.1axcos(pitch) 0 -sin(pitch)1cos

In the given question we have to find the rotation matrix of the Gravity equation and Magnetometer…

Answered: Gravity equation E- Rotation Matrix R…

Math

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Gravity equation E- Rotation Matrix R a, = [az] cos(pitch) 0 -sin(pitch) 1 ay 1 cos(roll) sin(roll) cos(pitch) 0 -sin(roll) cos(roll) az sin(pitch) 0

Advanced Engineering Mathematics

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Chapter2: Second-order Linear Odes

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Mobile Computing Android

Hello I was wondering if you could go over the gravity, accelerometer, magnetometer equtions. Maybe use an example on how the calculations would go about.

Gravity equation
Rotation
ay =
Matrix R
[az.
1
ax
cos(pitch) 0 -sin(pitch)
1
cos(roll) sin(roll)
ay
cos(pitch)
0 -sin(roll) cos(roll)
az
sin(pitch)
||

Magnetometer equation
Rotation
my =
Matrix R
[mz.
cos(pitch) 0 -sin(pitch)|
cos(yaw) -sin(yaw) 0
sin(yaw)
mx
my
1
cos(roll) sin(roll)
cos(yaw)
M
mz
sin(pitch) 0
cos(pitch)
0 -sin(roll) cos(roll)
1
Pitch, roll known from accelerometer
Unknown yaw can be determined from above equations
yaw, pitch, roll together determine the rotation matrix (3D orientation) of a system

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