Question

The angular acceleration is known as the rate of change of _________.
1. angular displacement
2. angular momentum
3. angular velocity
4. None of the above

Answer 1

Correct Answer - Option 3 : angular velocity

CONCEPT:

• Angular displacement (θ): The angular displacement of a body is the angle in degrees or radians or revolutions through which a point revolves around a point or axis.
• Angular velocity (ω): How fast the angular position or orientation of an object changes with time or How fast an object rotates or revolves relative to another point is known as angular velocity.
  • It is the rate of change of angular displacement.​
• Angular acceleration (α): The rate of change of angular velocity is known as angular acceleration.
• Angular momentum (L): The moment of momentum is known as angular momentum.

CALCULATION:

• The rate of change of angular velocity is known as angular acceleration. 

Mathematically ,

\(\alpha = {d\omega \over dt}\)

• So the correct answer is option 3.