The axle of a wheel is mounted on supports that rest on a rotating turntable as shown in the figure. (Figure 1) The wheel has angular velocity ω1ω1omega_1 = 46.5 rad/s about its axle, and the turntable has angular velocity ω2ω2omega_2 = 34.0 rad/s about a vertical axis. (Note arrows showing these motions in the figure.) Take the z-axis vertically upward and the direction of the axle at the moment shown to be the x-axis pointing to the right. Take the direction perpendicular to that of the axle at the moment shown to be the y-axis pointing in the page. What are the directions of ω1 at the instant shown? Express your answer with the appropriate units.  Theta1=?   What are the directions of ω2 at the instant shown? Express your answer with the appropriate units.  Theta2=?

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