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=?
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=?
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=?
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=?
Definition Definition Rate of change of angular displacement. Angular velocity indicates how fast an object is rotating. It is a vector quantity and has both magnitude and direction. The magnitude of angular velocity is represented by the length of the vector and the direction of angular velocity is represented by the right-hand thumb rule. It is generally represented by ω.
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