Compare linear displacement ( $Delta x$ ) and angular displacement ( $Delta heta$ ).

Linear displacement: Change in position along a straight line. | Angular displacement: Change in angular position around an axis.

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Compare linear displacement ( $Delta x$ ) and angular displacement ( $Delta heta$ ).

Linear displacement: Change in position along a straight line. | Angular displacement: Change in angular position around an axis.

Compare linear velocity ( $v$ ) and angular velocity ( $omega$ ).

Linear velocity: Rate of change of linear displacement. | Angular velocity: Rate of change of angular displacement.

Compare linear acceleration ( $a$ ) and angular acceleration ( $alpha$ ).

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.

What is angular displacement ( $heta$ )?

The angle, in radians, that a point on a rigid object rotates about a specific axis.

What is angular velocity ( $omega$ )?

The rate of change of angular position with respect to time. $omega=\frac{d \theta}{d t}$

What is angular acceleration ( $alpha$ )?

The rate at which angular velocity changes over time. $\alpha=\frac{d \omega}{d t}$

Define radians.

The standard unit of angular measure, used in rotational kinematics calculations.

What are rigid systems in the context of rotational kinematics?

Systems that maintain their shape, but different points move in different directions during rotation.