• Support PF! Buy your school textbooks, materials and every day products Here!

Angular Acceleration and wheel revolution

  • Thread starter ecthelion4
  • Start date
  • #1
24
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.
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
26,258
618
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?
 
  • #3
24
0
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....
 
  • #4
Dick
Science Advisor
Homework Helper
26,258
618
Well, you know the initial velocity, the final velocity and the acceleration. Could that give you a time?
 
  • #5
24
0
...could it?
 
  • #6
Dick
Science Advisor
Homework Helper
26,258
618
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.
 

Related Threads on Angular Acceleration and wheel revolution

  • Last Post
Replies
1
Views
22K
  • Last Post
Replies
5
Views
7K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
10
Views
10K
Replies
2
Views
1K
Replies
2
Views
5K
Replies
2
Views
2K
  • Last Post
Replies
8
Views
5K
Replies
2
Views
15K
Replies
2
Views
630
Top