[ODE] physics question!

[Fig TaTam]

my physics skills are rather shaky, can you check if I calculate something 
correctly?

I have a body that rotates about some point in space, with gravity field 
present. I know linear and angular velocity, and I know orientation of it in 
degree angles.

2 forces act upon the body: gravity and centripetal force. I need to 
calculate 2 angles between the "true down" vector and "gravity+centripetal 
force" vector. 1 angle represents "pitch", the other is "roll". 3rd angle is 
irrelevant since it's possible to align 2 3D vectors using 2 angles.

Centripetal force = mass * velocity^2 / radius
angular_velocity  = velocity/radius
Centripetal force = mass * linear_velocity * angular_velocity

gravity vector is same as true down vector (0, 32.2*mass, 0). So Z-axis 
means forward/backward

Since "mass" is same in both force vectors, I can cancel it out. Then to 
find 2 component angles between vectors, I need to:

pitch_angle = arc tan( cent_force[X_AXIS] / 32.2 )
roll_angle    = arc tan( cent_force[Z_AXIS] / 32.2 )

where pitch_angle lies in Y-Z plane and roll_angle lies in Y-X plane. Is 
this correct?

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