Question about conservation of angular momentum

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The discussion focuses on the conservation of angular momentum in a system where a 1 kg mass is attached to a weightless cable and rotates around an axis. When the radius increases from 1 m to 100 m, the angular speed decreases to 1 rad/s, illustrating the inverse relationship between radius and angular speed. This outcome aligns with the principle of conservation of angular momentum, which states that the product of the moment of inertia and angular velocity remains constant. The relevant formula for this scenario is angular momentum (L = mvr) expressed in terms of angular speed (L = Iω). The conclusion emphasizes that while angular momentum is conserved, it does not equate to the conservation of linear velocity.
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i have 1 kg mass tight to a weightless cable tigh to an axe with a radius of 1m and it goes at an angular speed of 100 rad/s, what will be the angular speed if i increase the radius to 100 m according conservation of angular momentum?

if the answer is 1 rad/s (100 times more radius 100 times less angular speed) this would mean that conservation of angular momentum is conservation of linear velocity, is this correct?

what formula would you use to solve this problem?
 
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Hint: The angular momentum of a particle going in a circle is its momentum (mv) times the radius of the circle. Express that in terms of angular speed.
 

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