The branch of mechanics that deals with the motion of objects that rotate about an axis.
Angular Displacement (θ) is the angle through which an object has rotated about a specific axis, measured in radians.
Radians (rad).
Radians per second (rad/s).
ω = ω₀ + αt, where ω is final angular velocity, ω₀ is initial angular velocity, α is angular acceleration, and t is time.
Radians per second squared (rad/s²).
θ = ω₀t + 0.5αt², where θ is angular displacement.
Angular Acceleration (α) is the rate of change of angular velocity, measured in radians per second squared (rad/s²).
Angular Velocity (ω) is the rate of change of angular displacement, expressed in radians per second (rad/s).
Understanding wheels and gears, analyzing the spin of a ball in sports, and designing rotating machinery in engineering.
It is essential for understanding complex concepts such as torque, angular momentum, and moment of inertia, and for real-world problem solving in fields like physics, engineering, and robotics.
ω² = ω₀² + 2αθ.