Rotational motion

The equation for the angular velocity with constant angular acceleration is:

• w = constant

• w= w0 + α . t

• w= w0 +α . θ

The rotational kinetic energy is proportional to the moment of inertia

• True

• False

If we know the moment of inertia of a body of mass M about an axis through its center of mass (Icm), we can

calculate the moment of inertia about any other axis parallel to the original one but displaced

from it by a distance d (Ip) by using the equation:

• Ip = Icm - M d²

• Ip = Icm + M

• Ip = Icm + M d²

In terms of rotation a force is more effective if ...

• is close to axis of
  rotation

• is directed
  toward axis of
  rotation

• is far from
  axis of rotation

The formula of the torque is ...

• 𝜏 = Frad . r

• 𝜏 = Ftan . r

• 𝜏 = P . r

Which of the following statements accurately describes the conservation of angular momentum in physics?

• Angular momentum conservation only applies to linear motion.

• Angular momentum conservation is only relevant in the absence of rotational motion.

• Angular momentum is a conserved quantity in the absence of external torques.

Which of the following factors does the moment of inertia of an object depend on?

• Mass only

• Shape only

• Both mass and shape

What is the primary factor that determines the torque exerted by a force?

• Angle between the force and the lever arm

• Force only

• Distance only

The rotational kinetic energy of an object depends on:

• Its linear velocity only

• Its moment of inertia only

• Both its angular velocity and moment of inertia

In rotational motion, what physical quantity is analogous to linear velocity in translational motion?

• Angular displacement

• Torque

• Angular velocity