Angular Acceleration and wheel revolution

Click For Summary

Homework Help Overview

The discussion revolves around a problem involving angular acceleration and the calculation of revolutions made by a wheel while accelerating from rest to a specified angular velocity. The subject area pertains to rotational motion and kinematics.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between angular displacement, angular velocity, and angular acceleration, questioning the absence of time in the equations they are familiar with. There is an attempt to find an equation that relates these variables without involving time.

Discussion Status

The discussion is ongoing, with participants sharing their thoughts on how to approach the problem. Some guidance has been offered regarding the potential to derive time from the known values, but there is no explicit consensus on the best method to proceed.

Contextual Notes

Participants note the challenge of working without a time variable, which is central to their attempts to solve the problem. There is an acknowledgment of the initial and final angular velocities and the angular acceleration provided in the problem statement.

ecthelion4
Messages
24
Reaction score
0

Homework Statement



A wheel accelerates from rest to 59 rad/s at a rate of 29 rad/s². How many revolutions the wheel turned while accelerating?

Homework Equations

The Attempt at a Solution



I'm confused, I suck at this kind of problem. I got change in angular velocity which would be 59rad/s, and I got that the angular acceleration would be 29 rad/s². What equation relates all three? All equations I know relate them using time, but I got no time there.
 
Physics news on Phys.org
The equation you are looking for is an EXACT analog of the equation for linear motion, s=(1/2)*a*t^2. Does that help?
 
Not really. See that would translate into angular motion as this:

Angular Displacement = 1/2*Angular Acceleration*Time²

And since I got no time, that equation is useless. I need an equation that somehow relates ONLY angular displacement to angular velocity and angular acceleration

Unless I'm missing a way to get the time from the given data...
 
Well, you know the initial velocity, the final velocity and the acceleration. Could that give you a time?
 
...could it?
 
I would say that if I accelerate from 0 to 10 m/sec at an acceleration of 10 m/sec^2, then the time it takes is 1 sec.
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
2K
Replies
3
Views
2K
Replies
7
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
8
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 19 ·
Replies
19
Views
2K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K