Questions: Select all of the following that are true of instantaneous angular acceleration. The rate of change of an object's angular velocity is its instantaneous angular acceleration.

Select all of the following that are true of instantaneous angular acceleration.
The rate of change of an object's angular velocity is its instantaneous angular acceleration.

Transcript text: Select all of the following that are true of instantaneous angular acceleration. The rate of change of an object's angular velocity is its instantaneous angular acceleration.

Solution

Solution Steps

Step 1: Understand the Question

The question asks us to identify which statements are true about instantaneous angular acceleration. We are given two statements to evaluate.

Step 2: Evaluate the First Statement

The first statement is: "The rate of change of an object's linear velocity is its instantaneous angular acceleration."

Instantaneous angular acceleration is defined as the rate of change of angular velocity, not linear velocity. Therefore, this statement is false.

Step 3: Evaluate the Second Statement

The second statement is: "The rate of change of an object's angular velocity is its instantaneous angular acceleration."

This statement correctly defines instantaneous angular acceleration. Therefore, this statement is true.

Final Answer

\[ \boxed{\text{The rate of change of an object's angular velocity is its instantaneous angular acceleration.}} \]

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