Angular Velocity and Angular Acceleration

Click For Summary

Homework Help Overview

The discussion revolves around a physics problem related to angular velocity and angular acceleration, specifically in the context of a human centrifuge used for pilot testing. The original poster seeks to determine the angular acceleration and angular velocity based on given parameters.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply equations of motion for angular quantities but struggles with unit conversions and the correct application of the formulas. Some participants suggest focusing on the units to ensure consistency in calculations. Others question the value of theta and its representation in revolutions versus radians.

Discussion Status

Participants are actively engaging with the problem, providing insights and clarifications. Some guidance has been offered regarding unit conversions and the relationship between angular acceleration and angular velocity. There is a mix of understanding among participants, with some expressing clarity while others continue to seek resolution.

Contextual Notes

The original poster references specific values from a textbook, indicating a reliance on those for validation. There is also mention of uncertainty regarding the correct interpretation of angular displacement in the context of the problem.

Hotsuma
Messages
41
Reaction score
0
I feel really dumb, as this should be incredibly easy to figure out, but I keep getting the wrong answers. I am including the book's data so I can figure out how this needs to be done and then plug in my own values.

Homework Statement



Pilots can be tested for the stresses of flying high-speed jets in a whirling "human centrifuge," which takes 1.0 min to turn through 20 complete revolutions before reaching its final speed.

What is its angular acceleration (assumed constant) (in rev/min^2) and its angular velocity in rpm?

Homework Equations



Code:
\theta (t) = \theta_0 +\omega_0t + \frac{1}{2}\alpha t^2  
\omega (t) = \omega_0 + \alpha t.
[\CODE]

[h2]The Attempt at a Solution[/h2]

I have tried finding the frequency and then multiplying it by 2\pi, but I don't get the right answer. The book's values are: 
Ang. Acc = 40 rev/min^2
Ang. Vel = 40 rpm
 
Physics news on Phys.org
i think it might have something to do with your units

theta = (1/2).alpha.t^2

you want to find alpha in rev/min^2
so input theta in revolutions and t in mins to get the correct alpha
 
I don't think I have a value for theta unless it is 2pi. Even then, that is in radians not revolutions per minute.
 
Thanks LowlyPion, my answer for angular acceleration is correct and the concept is much more clear now. I'll let you know if I get angular velocity figured out, which should be easy from here.
 
To find Angular velocity I multiply angular acceleration by time. Thanks for the help.
 
I forget how to mark this as solved, also, does anyone know how to use direct LaTeX typesetting here?
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
Replies
3
Views
2K
  • · Replies 17 ·
Replies
17
Views
1K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 8 ·
Replies
8
Views
1K
Replies
26
Views
2K
Replies
67
Views
5K
  • · Replies 17 ·
Replies
17
Views
3K
Replies
2
Views
912
  • · Replies 1 ·
Replies
1
Views
4K