Angular Acceleration and Velocity

[WorkPhysics]

Angular Acceleration and Velocity..please help :)

hi
could someone please explain to me conceptually what angular acceleration and angular velocity are.
Also how would the angular acceleration and angular velocity of the people on a merry go round change with the location of the people?

Thank you!

 

[noelhughes]

Have you gotten an answer to your question? I can probably help.
Noel Hughes
nhughes1ster@gmail.com

 

[astrokreng]

Angular acceleration and angular velocity are both important concepts in the study of rotational motion. Angular velocity is a vector quantity that describes the rate of change of angular displacement over time. In other words, it is the measure of how quickly an object is rotating around a fixed axis. It is typically measured in radians per second (rad/s).

On the other hand, angular acceleration is the rate of change of angular velocity over time. It is also a vector quantity and is measured in radians per second squared (rad/s^2). It describes how quickly an object's rotational speed is changing.

To understand how the angular acceleration and velocity of people on a merry go round change with their location, we need to consider the concept of centripetal force. Centripetal force is the force that keeps an object moving in a circular path. In the case of a merry go round, the centripetal force is provided by the tension in the ropes or chains holding the riders in place.

As the location of the riders changes on the merry go round, the distance from the axis of rotation also changes, which affects the angular velocity and acceleration. The riders closer to the axis of rotation will have a smaller distance and therefore a lower angular velocity and acceleration, while those farther away will have a larger distance and higher angular velocity and acceleration.

Additionally, as the riders move closer to the center, the radius of their circular motion decreases, causing an increase in their angular velocity and acceleration. This can be seen in the equation for centripetal acceleration, where the acceleration is directly proportional to the square of the angular velocity and inversely proportional to the radius of the circular motion.

In summary, the angular acceleration and velocity of people on a merry go round will change with their location due to the principles of centripetal force and circular motion. Understanding these concepts is crucial in many fields of science, including physics, engineering, and astronomy.