Rotational Motion 1.1: Constant Angular Acceleration

Rotational Motion Under Constant Angular Acceleration

• Rotational motion occurs when an object (rigid body) rotates around a fixed axis, and the distance between any two particles within the body remains constant.
• When an object rotates with a constant angular acceleration, its angular velocity changes at a constant rate, and the motion is called uniform rotational motion under constant angular acceleration.

Characteristics of Rotational Motion

• Angular displacement (Δθ) is the change in angular position of an object.
• Angular velocity (ω) is the rate of change of angular displacement.
• Angular acceleration (α) is the rate of change of angular velocity.

Key Equations

• Grammatic equations for rotational motion with constant angular acceleration:
  • No equation provided in the text.

Notes

• The rotation of a car around a curved path, the spinning of a top, and the movement of a fan's blades are examples of rotational motion.
• The motion of a rigid body can be described by its angular displacement, angular velocity, and angular acceleration.
• Angular velocity is measured in radians per second (rad/s).
• One revolution is equal to 2π radians, and 380 revolutions per minute is equal to 40 radians per second.
• The unit of angular acceleration is radians per second squared (rad/s²).