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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.
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 torque and force.
Force causes linear acceleration; torque causes angular acceleration. Torque is the rotational analog of force.
Compare moment of inertia and mass.
Mass is resistance to linear acceleration; moment of inertia is resistance to angular acceleration. Moment of inertia depends on mass distribution.
Compare angular momentum and linear momentum.
Linear momentum is mass times velocity; angular momentum is moment of inertia times angular velocity. Both are conserved in closed systems.
Compare angular velocity and linear velocity.
Angular velocity (ω) is the rate of change of angular displacement; linear velocity (v) is the rate of change of linear displacement. v = rω
Compare angular acceleration and linear acceleration.
Angular acceleration (α) is the rate of change of angular velocity; linear acceleration (a) is the rate of change of linear velocity. a = rα