A skater holds her arms outstretched as she spins at 130 rpm . what is the speed of her hands if they are 130 cm apart?

Respuesta :

This is about tangential vs angular velocity but it is not part of angular momentum which will be explained later on.
Her angular velocity w = 130 rpm = 2pi 130/60 radian/sec. The radius of rotation r = R/2 = 1.3/2 = .65 m from nose to hand. 
Thus the tangential velocity of each hand is v = wr = 2pi*3/2*.65= 6.1261 mps.
Angular momentum L = Iw; where:I = kmr^2 is the inertia and w is the angular velocity. k is a continuous contingent on the shape and density supply of the rotation mass m. So you can see, the problem has zero to do with angular momentum.