A student is sitting on a frictionless rotating stool with her armsoutstretched holding equal heavy weights in each hand. If shesuddenly lets go of the weights will her angular speed:

a. get faster

b. get slower

c. stay the same

d. stop

option (a)

Explanation:

As no external torque is applied so the angular momentum is conserved.

Angular momentum having weights = angular momentum without weights

Angular momentum = moment of inertia x angular speed

As student go off the weighs, the moment of inertia decreases and thus, the angular velocity increases.

Thus, option (a) is correct.