Answer:
The divers pull in their limbs and curl up their bodies because doing so decreases their moment of inertia and increases their angular velocity
Explanation:
The conservation of angular momentum states that in a rotational system, the initial angular momentum is equal to the final angular momentum if no torque acts on it.
Angular momentum is equal to the product of the moment of inertia about its axis and the angular velocity
Angular momentum = Iω[tex]\\[/tex]
where I = moment of inertial = mass x [tex]radius^{2}[/tex]
I = m[tex]r^{2}[/tex]
angular momentum = m[tex]r^{2}[/tex]ω
since angular momentum is constant, one can see that decreasing the radius of rotation about the body by curling in the limb will cause the moment of inertia to decrease and the angular velocity to increase.
NB: mass of the body is constant.