G: assume that, at a certain angular speed ω2, the radius r becomes twice l. find ω2.

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Physics

Zander Pierce

13 October, 17:49

G: assume that, at a certain angular speed ω2, the radius r becomes twice l. find ω2.

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Fiona Alvarez · Answer 1

Assuming that we have a circular path (rotational motion), the angular velocity (w) can be calculated as follows:

w = v/r

From this relation, we can see that the angular velocity is inversely proportional to the radius. This means that if the radius increases, the angular velocity decreases and vice versa.

Based on this, if the radius is doubles, the angular velocity would decrease to half its value, assuming that v is constant.