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

  • Thread starter Thread starter looseliver
  • Start date Start date
  • Tags Tags
    Mechanics
Click For Summary

Discussion Overview

The discussion centers on calculating the linear velocity and acceleration of a point on a moving disk, given its angular velocity, angular acceleration, and radius. It involves exploring relevant equations and clarifying misunderstandings related to the application of these equations in a homework context.

Discussion Character

  • Homework-related, Technical explanation

Main Points Raised

  • One participant seeks to calculate velocity and acceleration using given values for angular velocity, angular acceleration, and radius.
  • Another participant points out a misplacement of equations in the original post and asks for clarification on relevant equations.
  • The original poster proposes using the equation for velocity as \( v = \omega r \) but expresses uncertainty about the equation for acceleration.
  • A later reply corrects the original poster's acceleration equation, stating that it should be angular acceleration times radius, rather than the initially suggested form.

Areas of Agreement / Disagreement

Participants generally agree on the correct form of the velocity equation, but there is a disagreement regarding the correct expression for acceleration, which remains unresolved as the original poster is uncertain.

Contextual Notes

The discussion highlights a misunderstanding of the equations related to angular motion, particularly in distinguishing between linear acceleration and angular acceleration. There are also indications of missing assumptions regarding the context of the problem.

looseliver
Messages
3
Reaction score
0

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


 
Physics news on Phys.org
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.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
8
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 6 ·
Replies
6
Views
4K