All Flashcards
What is the effect of applying a torque on an object?
It causes the object to undergo angular acceleration.
What happens when the net torque on an object is zero?
The object is in rotational equilibrium; its angular velocity remains constant.
What happens when a figure skater pulls their arms inward?
Their moment of inertia decreases, and their angular speed increases to conserve angular momentum.
What is the effect of increasing the distance from the axis of rotation when applying a force?
It increases the torque, making it easier to cause rotational motion.
What happens if no external torque acts on a rotating system?
The total angular momentum of the system remains constant.
What happens when the moment of inertia increases?
The object becomes more resistant to changes in rotational motion, requiring more torque to achieve the same angular acceleration.
Compare linear displacement () and angular displacement ().
Linear displacement: Change in position along a straight line. | Angular displacement: Change in angular position around an axis.
Compare linear velocity () and angular velocity ().
Linear velocity: Rate of change of linear displacement. | Angular velocity: Rate of change of angular displacement.
Compare linear acceleration () and angular acceleration ().
Linear acceleration: Rate of change of linear velocity. | Angular acceleration: Rate of change of angular velocity.
What is the difference between clockwise and counterclockwise rotation in terms of sign convention?
Clockwise rotation: Typically assigned a negative value. | Counterclockwise rotation: Typically assigned a positive value.
When can a rotating system be treated as a single object?
When the system's rotation is well described by its center of mass motion.
What is the effect of a constant angular acceleration?
Allows the use of simplified rotational kinematic equations.
What happens if angular acceleration is not constant?
Calculus must be used to analyze the rotational motion.
What is the effect of applying a torque to a rigid object?
It causes angular acceleration, changing the object's rotational speed.
What happens when there is a change in angular velocity?
Angular acceleration occurs.
What happens when a wheel starts from rest and experiences a uniform angular acceleration?
Its angular velocity increases linearly with time, and it rotates through an increasing angular displacement.