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3. #2 # What is the difference between the angular and orbital velocity?

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Options Sketched angular velocity $$\omega$$ and exemplified two different orbital velocities of different speed.

The angular velocity $$\omega$$ always points in the direction of the rotation axis (orthogonal to the rotation disk) and does not change its direction in the case of a constant circular motion. The angular velocity gives the traversed angle $$\alpha$$ of a mass point of the disk per time $$t$$: $$\omega = \alpha / t$$. In contrast to the orbital speed, the angular speed for a rotating disk is the same for all mass points (which make up the disk).

The orbital speed $$v$$, on the other hand, is the greater, the further away a mass point of the circular disc is from the axis of rotation. The mass point, which is closer to the axis of rotation, must cover a smaller circumference than a mass point farther away from the axis of rotation. In addition, the orbital velocity is tangent to the orbit and changes direction all the time.

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