Change in angular velocity refers to the difference in the rate of rotation of an object over a period of time. It is typically measured in radians per second squared ($\text{rad/s}^2$).
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Change in angular velocity is directly related to angular acceleration, where angular acceleration is the rate of change of angular velocity.
The SI unit for angular velocity is radians per second ($\text{rad/s}$) and for angular acceleration, it is radians per second squared ($\text{rad/s}^2$).
The formula for calculating change in angular velocity ($\Delta \omega$) is $\Delta \omega = \alpha \Delta t$, where $\alpha$ is the angular acceleration and $\Delta t$ is the time interval.
A positive change in angular velocity indicates increasing speed, while a negative change indicates decreasing speed (deceleration).
Angular momentum, which depends on both mass distribution and rotational speed, can be influenced by changes in angular velocity.
Review Questions
What is the relationship between change in angular velocity and angular acceleration?
What are the SI units for measuring change in angular velocity and why are they important?
How would you calculate the change in angular velocity if you know the angular acceleration and time interval?
Related terms
Angular Velocity: The rate at which an object rotates or revolves around an axis; measured in radians per second ($\text{rad/s}$).
Angular Acceleration: The rate of change of angular velocity over time; measured in radians per second squared ($\text{rad/s}^2$).
Moment of Inertia: A measure of an object's resistance to changes to its rotation; depends on the mass distribution relative to the axis of rotation.