Question

how would a spinning disk's kinetic energy change if its moment of inertia was fivd times larger but its angulsr dprrf was five times smaller

Answer 1

The kinetic energy of the spinning disk would decrease due to the larger moment of inertia and slower angular velocity.

Step-by-step explanation:

The kinetic energy of a spinning disk is determined by its moment of inertia and angular velocity. In this case, the moment of inertia of the spinning disk is five times larger while its angular velocity is five times smaller. The moment of inertia is a measure of how an object's mass is distributed around its axis of rotation, while the angular velocity is a measure of how fast the object is rotating.

When the moment of inertia is increased, the object becomes harder to rotate and its kinetic energy decreases. On the other hand, when the angular velocity is decreased, the object is rotating at a slower rate and its kinetic energy also decreases. Combining these two changes, the spinning disk's kinetic energy would decrease due to the larger moment of inertia and slower angular velocity.