Final answer:
The angular momentum of the ice skater is 11.04 kgm²/s.
Step-by-step explanation:
Angular momentum is given by multiplying the moment of inertia (I) and the angular velocity (ω). To find the angular momentum of the ice skater, you can use the formula:
Angular momentum = I x ω
Given that the moment of inertia of the ice skater is 4.6 kgm² and the angular velocity is 2.4 revolutions per second (rps), you can substitute these values into the formula to find the angular momentum:
Angular momentum = 4.6 kgm² x 2.4 rps
Calculating this, you will find that the ice skater has an angular momentum of 11.04 kgm²/s.