Given that a wheel with w(1) = -44i, is mounted on a turntable with w(2) = 35k, determine overall angular velocity and acceleration. Give both magnitude and direction.
a = w(1) X w(2) ?
The Attempt at a Solution
I got the correct angular velocity is 56.2 rad/s, at 38.5 degrees from the x-axis towards the z-axis. But my text (and in-class instruction) only showed how to get the angular acceleration by way of either angular velocity or the angle itself. Since the radii of the wheel and turntable are not given, and since there is no time given, I do not know how to go about solving this. Per the answer in the back of the book is 1540j rad/(s^2), the only way I can figure they did this is they simply crossed the two angular velocities. Is that correct? Or is there something else that I've completely missed?