How to find angle from angular velocity?

Click For Summary

Homework Help Overview

The discussion revolves around a physics problem involving a spool of thread that rolls to a stop after being swiped by a cat. The problem includes calculating the initial angular velocity, total angle of rotation while slowing down, and angular acceleration. The subject area includes kinematics and rotational motion.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the relationship between linear and angular motion, questioning how to calculate the total angle of rotation based on the distance traveled and the circumference of the spool. There are attempts to clarify the calculations for angular displacement and acceleration, as well as the time taken to come to rest.

Discussion Status

Participants are actively exploring various methods to approach the problem, with some providing calculations and others questioning the accuracy of those calculations. There is a focus on understanding the relationships between linear and angular quantities, but no consensus has been reached on the final approach or solution.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information available for solving the problem. There is an emphasis on understanding the kinematic equations relevant to the scenario, particularly in the context of uniform acceleration and deceleration.

  • #31
Sneakatone said:
will it be 1.5 m/s or zero?
Which of those represents "at rest"?
 
Physics news on Phys.org
  • #32
zero is at rest
 
  • #33
Right. So there is uniform deceleration from 1.5 m/s to 0 over a distance of 3m. How long does that take?
 
  • #34
2 seconds
 
  • #35
Sneakatone said:
2 seconds
No, it would take 2 seconds to cover 3m at a constant speed of 1.5 m/s, but it it slowing down, so will take longer. What kinematic equation do you know involving two speeds, distance and time when acceleration is constant? If you don't know any such, what kinematic equations do you know?
 
  • #36
x=vt+1/2at^2
 
  • #37
Sneakatone said:
x=vt+1/2at^2
That one involves distance, initial speed, time and acceleration. At this stage, you don't know the acceleration, but you do know the final speed, so you're looking for a different equation. What others do you know?
 
  • #38
vf^2=vi^2+2add=[(vi+vf)/2]*t
 
  • #39
Good, so which of those involves three quantities that you know and the quantity you're trying to calculate?
 
  • #40
the 1st equation , rearranging it making
a=(vf^2-vi^2)/2d
 
  • #41
Sneakatone said:
the 1st equation , rearranging it making
a=(vf^2-vi^2)/2d
We're trying to calculate the time, not the acceleration.
 
  • #42
so t=d/[(vi+vf)/2]
 
  • #43
Right. So using that, how long will it take to come to rest?
 

Similar threads

Replies
3
Views
2K
  • · Replies 17 ·
Replies
17
Views
1K
Replies
7
Views
2K
  • · Replies 30 ·
2
Replies
30
Views
4K
Replies
17
Views
2K
Replies
67
Views
4K
  • · Replies 39 ·
2
Replies
39
Views
3K
Replies
3
Views
2K
  • · Replies 32 ·
2
Replies
32
Views
3K
Replies
25
Views
2K