Advanced Placement Physics C: Mechanics with calculus-based physics principles.
Rotation brings a new twist to mechanics! Rotational quantities have parallels with linear motion.
Angular displacement, velocity (\( \omega \)), and acceleration (\( \alpha \)) describe how fast and how much something spins.
Torque (\( \tau \)) is the rotational equivalent of force: \( \tau = I\alpha \), where \( I \) is rotational inertia.
Angular momentum (\( L \)) is conserved when no external torque acts: \( L = I\omega \).
Calculus helps analyze systems with changing torques or angular velocities.
From bicycle wheels to spinning planets, understanding rotation is crucial in engineering and science.
A figure skater spinning faster by pulling in her arms demonstrates conservation of angular momentum.
Torque applied to a wrench determines how easily a bolt turns.
Rotation and angular momentum explain the motion of spinning objects, from wheels to galaxies.