Questions: An object is said to be in rotational equilibrium if (1 point) it is either at rest or moving with a constant acceleration it is either at rest or moving with a constant speed it is either at rest or rotating with a constant angular velocity. it is either at rest or moving in a straight line with a constant speed. it is eithe at rest or rotating with a constant angular acceleration.

An object is said to be in rotational equilibrium if (1 point)
it is either at rest or moving with a constant acceleration
it is either at rest or moving with a constant speed
it is either at rest or rotating with a constant angular velocity.
it is either at rest or moving in a straight line with a constant speed.
it is eithe at rest or rotating with a constant angular acceleration.
Transcript text: An object is said to be in rotational equilibrium if (1 point) it is either at rest or moving with a constant acceleration it is either at rest or moving with a constant speed it is either at rest or rotating with a constant angular velocity. it is either at rest or moving in a straight line with a constant speed. it is eithe at rest or rotating with a constant angular acceleration.
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Solution

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Solution Steps

Step 1: Understanding Rotational Equilibrium

Rotational equilibrium occurs when an object is not experiencing any net torque. This means that the object is either not rotating at all or is rotating at a constant angular velocity. In this state, the sum of all torques acting on the object is zero.

Step 2: Analyzing the Options

Let's analyze each option to determine which one correctly describes rotational equilibrium:

  • Option 1: "it is either at rest or moving with a constant acceleration" - This describes linear motion, not rotational motion.
  • Option 2: "it is either at rest or moving with a constant speed" - This also describes linear motion, not rotational motion.
  • Option 3: "it is either at rest or rotating with a constant angular velocity" - This correctly describes rotational equilibrium, as the object is either not rotating or rotating without any change in angular speed.
  • Option 4: "it is either at rest or moving in a straight line with a constant speed" - This describes linear motion, not rotational motion.
  • Option 5: "it is either at rest or rotating with a constant angular acceleration" - This implies a change in angular velocity, which means the object is not in equilibrium.

Final Answer

The correct answer is that an object is in rotational equilibrium if it is either at rest or rotating with a constant angular velocity. Therefore, the answer is:

\[ \boxed{\text{it is either at rest or rotating with a constant angular velocity}} \]

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