Question

A figure skater in a tight spin has a rotational inertia of 5.6kgm^2, and an angular velocity of 16 rad/s a) What is her angular momentum? b) what was her angular velocity when she went into the spin if her rotational inertia was 9.8kgm^2 before she tucked?

Answer 1

The angular momentum is 89.6 kg-m^2/s.

The angular velocity is 9.142 rad/s.

Step-by-step explanation:

Momentum is the product of rotational inertia to the angular velocity.

Angular momentum = m *v = 5.6 * 16 = 89.6 kg-m^2 / s.

Angular velocity is the rate of velocity at which an object is rotating around a center or a specific point in a given time period. It is also known as rotational velocity. Angular velocity is measured in radian per second (rad/s).

angular velocity = angular momentum / rotational inertia

= 89.6 / 9.8 = 9.142 rad / s.