Short notes on angular acceleration:

- Angular acceleration is the rate at which an object's angular velocity changes over time.
- It is a vector quantity, meaning it has both magnitude and direction.
- Angular acceleration is measured in radians per second squared (rad/s^2).
- It can be caused by a torque applied to an object, which results in a change in its rotational motion.
- The formula for angular acceleration is α = Δω / Δt, where α is the angular acceleration, Δω is the change in angular velocity, and Δt is the change in time.
- Angular acceleration can be positive (increasing angular velocity) or negative (decreasing angular velocity), depending on the direction of the torque applied.

Angular Acceleration

- Definition: The rate at which an object's angular velocity changes over time.
- Formula: α = Δω / Δt
- α is angular acceleration (rad/s²)
- Δω is the change in angular velocity (rad/s)
- Δt is the time interval (s)
- Units: Radians per second squared (rad/s²)
- Direction: Indicates the direction in which the angular velocity is changing.
- Positive or Negative:
- Positive: Angular velocity is increasing.
- Negative: Angular velocity is decreasing.
- Relationship with Torque: According to Newton's Second Law for rotational motion, torque is directly proportional to angular acceleration.
- Kinematic Equations:
- ω² = ω₀² + 2αθ
- θ = ω₀t + (1/2)αt²
- α = (ω² - ω₀²) / 2(θ - θ₀)
- Applications:
- Describing the motion of objects undergoing rotational motion, such as wheels, gears, and pulleys.
- Calculating the acceleration of objects in a circular or curved path.
- Analyzing the dynamics of rotating systems.