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What is the effect of applying a torque to an object?
It causes the object to experience angular acceleration.
What happens to angular velocity when moment of inertia decreases in a closed system?
Angular velocity increases to conserve angular momentum.
What causes a change in angular momentum?
An external torque applied over a period of time.
What is the effect of increasing the lever arm when applying a force?
It increases the torque produced.
What happens when a figure skater pulls their arms in?
Their moment of inertia decreases, and their angular velocity increases.
What happens when net torque is zero?
Angular momentum is conserved.
What is the relationship between angular and linear displacement?
Angular displacement: $\Delta\theta$ | Linear displacement: $\Delta x$. $\Delta\theta = s/r$, where *s* is arc length and *r* is the radius.
What is the relationship between angular and linear velocity?
Angular velocity: $\omega$ | Linear velocity: v. $\omega = v/r$, where *v* is linear velocity.
What is the relationship between angular and linear acceleration?
Angular acceleration: $\alpha$ | Linear acceleration: a. $\alpha = a/r$, where *a* is linear acceleration.
How is torque similar to force?
Torque: Causes rotational acceleration. | Force: Causes linear acceleration.
How is moment of inertia similar to mass?
Moment of Inertia: Resistance to rotational motion. | Mass: Resistance to linear motion.
What is the relationship between torque and force?
Torque is the rotational equivalent of force. Force causes linear acceleration; torque causes angular acceleration.
What is the relationship between linear and angular momentum?
Angular momentum is the rotational equivalent of linear momentum. Both are conserved in closed systems.
Compare linear and rotational kinematics.
Both describe motion; linear uses displacement, velocity, and acceleration, while rotational uses angular displacement, angular velocity, and angular acceleration.