Calculate Velocity/Acceleration from Angular Vel/Acc & Radius of Disk

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To calculate the velocity and acceleration of a point on a moving disk, the relevant equations are velocity (v = ωr) and acceleration (a = αr), where ω is angular velocity, α is angular acceleration, and r is the radius. Given an angular velocity of 8k rad/s and an angular acceleration of -10k rad/s² with a radius of 0.5m, the velocity can be calculated as 4,000 m/s. The acceleration should be calculated using the correct formula, which is a = αr, resulting in an acceleration of -5,000 m/s². The discussion clarifies the proper use of these equations for the problem at hand. Understanding these relationships is crucial for solving similar physics problems.
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Homework Statement




How do i calculate the velocity and accaleration of a point on a moving disk when i know the angular velocity , angular acceleration and radius of the disk?

Homework Equations



angular velocity 8k rad/s
angular acceleration -10k rad/s2
Radius 0.5m

The Attempt at a Solution


 
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What you wrote under "Relevant equations" actually belongs into the "Homework Statement " part. So, what are the relevant equations?
 
Sorry about that. this is my first post.

The relevant equations is what i am unsure about...
I am considering using:
v=wr
Velocity = angular velocity x Radius

and:
a=xr
Acceleration = angular velocity x Radius.

I'm not certain if these are the correct equations to use. Just seems a bit straight forward.
 
You got the first relation right, but not the second one. The acceleration of the point equals angular acceleration times the radius.
 

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