Angular speed after increasing radius from 1m to 100m

[eosphorus]

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?

 

[Doc Al]

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.