contestada

A group of engineers is preparing a satellite to land by moving it 10% closer to
Earth in each rotation. Which statement is correct about the rotational inertia of
the satellite? (1 point)
O Rotational inertia does not change because it is conserved.
Rotational inertia increases proportional to the decrease in the
radius of rotation.
Rotational inertia first decreases and then increases as the
satellite is ready to land.
O
Rotational inertia decreases proportional to the decrease in the
radius of rotation.

Respuesta :

mkfme

Answer:

Rotational inertia decreases proportional to the decrease in the radius of rotation.

Explanation:

onyebuchinnaji

The rotational inertia decreases proportional to the decrease in the

radius of rotation.

Rotational inertia is directly proportional to the angular momentum of the object and inversely proportional to its angular velocity.

[tex]I = \frac{L}{\omega}[/tex]

where;

  • I is the rotational inertia
  • L is the angular momentum
  • ω is the angular speed

The angular momentum is given as;

[tex]L = mvr[/tex]

where;

  • m is the mass of the object
  • v is the velocity of the object
  • r is the radius of the object

The new rotational inertia equation becomes;

[tex]I = \frac{mvr}{\omega}[/tex]

  • From this equation, we can observe that the rotational inertia is directly proportional to the radius of the object.

A 10% closer to the Earth, means a decrease in the radius of the satellite by 10%.

Thus, a decrease in the rotational inertia as well.

Learn more here: https://brainly.com/question/17285721

Otras preguntas