oh my mistake I didn't notice thanks a lot!BvU said:
##\alpha = \dfrac{d\omega}{dt}=\omega \dfrac{d\omega}{d \theta} .~~##dahoom102 said:
Angular velocity is a measure of how fast an object is rotating or moving in a circular motion. It is typically measured in radians per second.
Angular velocity and angular acceleration are related through the equation ω = αt, where ω is angular velocity, α is angular acceleration, and t is time. This means that angular velocity is directly proportional to angular acceleration and time.
To calculate angular velocity from an angular acceleration graph, you can use the slope of the graph at a specific point. The slope represents the rate of change of angular velocity at that point, and you can use the equation ω = αt to find the angular velocity at that point.
Positive angular velocity indicates that an object is rotating in a counterclockwise direction, while negative angular velocity indicates that an object is rotating in a clockwise direction. This is based on the convention that counterclockwise rotations are considered positive and clockwise rotations are considered negative.
Yes, it is possible for angular velocity to be constant while angular acceleration is changing. This can occur when the angular acceleration is changing at a rate that keeps the angular velocity constant. This is known as uniform circular motion.