What is the unit of angular acceleration?

What is the unit of angular acceleration?

• A. m/s²
• B. rad/s²
• C. m/s
• D. rad/s

Answer: (B)

Angular acceleration is defined as the rate at which angular velocity changes over time. It quantifies how quickly an object is speeding up or slowing down its rotation. In the International System of Units (SI), angular velocity is measured in radians per second (rad/s). Consequently, when angular velocity is differentiated with respect to time, the resultant unit is radians per second squared (rad/s²). This unit reflects that angular acceleration measures the change in rotational speed (in radians per second) for every second that passes. Understanding this concept is crucial as it relates directly to the rotational dynamics of objects and helps in analyzing motions involving circular paths and rotations. The other options provided do not relate correctly to angular acceleration; for instance, meters per second squared (m/s²) is the unit for linear acceleration, while radians per second (rad/s) is used for angular velocity itself.

Angular acceleration is defined as the rate at which angular velocity changes over time. It quantifies how quickly an object is speeding up or slowing down its rotation. In the International System of Units (SI), angular velocity is measured in radians per second (rad/s). Consequently, when angular velocity is differentiated with respect to time, the resultant unit is radians per second squared (rad/s²). This unit reflects that angular acceleration measures the change in rotational speed (in radians per second) for every second that passes.

Understanding this concept is crucial as it relates directly to the rotational dynamics of objects and helps in analyzing motions involving circular paths and rotations. The other options provided do not relate correctly to angular acceleration; for instance, meters per second squared (m/s²) is the unit for linear acceleration, while radians per second (rad/s) is used for angular velocity itself.