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

  • Thread starter Thread starter looseliver
  • Start date Start date
  • Tags Tags
    Mechanics
AI Thread Summary
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.
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.
 
Thread 'Have I solved this structural engineering equation correctly?'

Thread 'Have I solved this structural engineering equation correctly?'

Hi all, I have a structural engineering book from 1979. I am trying to follow it as best as I can. I have come to a formula that calculates the rotations in radians at the rigid joint that requires an iterative procedure. This equation comes in the form of: $$ x_i = \frac {Q_ih_i + Q_{i+1}h_{i+1}}{4K} + \frac {C}{K}x_{i-1} + \frac {C}{K}x_{i+1} $$ Where: ## Q ## is the horizontal storey shear ## h ## is the storey height ## K = (6G_i + C_i + C_{i+1}) ## ## G = \frac {I_g}{h} ## ## C...
View full post »

Similar threads

Calculating Torque & Power of a Rotating Disk
Replies
2
Views
1K
A stuntman drives a dirt bike on a curved track....
Replies
3
Views
2K
Solve Angular Velocity & Acceleration - Dimensional Analysis
Replies
3
Views
2K
Engineering Rotation around fixed axis (robot arm), dynamics
Replies
5
Views
2K
Angular acceleration problem for a pulley used to raise an elevator
Replies
8
Views
2K
Lift a hemispherical dome filled with water by rotating it
Replies
3
Views
3K
Offset Piston - Calculating Max. Angular Velocity
Replies
5
Views
4K
Conservation of angular momentum book problem
Replies
2
Views
2K
Angular Acceleration and relative velocity
Replies
5
Views
3K
Gearbox and flywheel question, How to calculate input torque
Replies
6
Views
4K

Hot Threads

Recent Insights

Back
Top