Question about conservation of angular momentum

1. Oct 10, 2005

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?

2. Oct 10, 2005

Staff: Mentor

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.