A student, sitting on a stool, holds masses in each hand. When his arms are extended, the total rotational inertia of the system is 5.6 kgm². When he pulls his arms in close to his body, he reduces the total rotational inertia to 1.4 kgm². When he is rotating with his hands held close to his body, his rotational velocity is 10 RPM. If there are no external torques, calculate the new rotational velocity of the system when he extends his arms.

The new rotational velocity of the system is RPM