# Determine rotation matrix given angular velocity tensor and time

1. Nov 2, 2011

1. The problem statement, all variables and given/known data

I'm given an angular velocity tensor as shown.

From this, I can extract the angular velocity. As I understand it, the angular velocity tensor matrix is the derivative of the rotation matrix. I have to determine the rotation matrix after t seconds.

2. Relevant equations

3. The attempt at a solution
From this, I could extract the angular velocity, convert it to a quaternion, multiply it by t and then convert it to a rotation matrix, but I'm not sure if this is the way to go.