What is the Formula for Calculating Angular Deceleration in College Physics?

Click For Summary
SUMMARY

The discussion focuses on calculating angular deceleration using specific formulas in college physics. A flywheel experiences a constant angular deceleration of 2.5 rad/sec² while transitioning from an initial angular speed of 117 rad/sec to rest. The relevant formula used is w² = wo² + 2a(theta), where w is the final angular speed, wo is the initial angular speed, a is the angular deceleration, and theta is the angular displacement. The time required for the flywheel to come to rest can be determined using analogous kinematic equations for angular motion.

PREREQUISITES
  • Understanding of angular motion concepts
  • Familiarity with kinematic equations
  • Knowledge of angular speed and angular acceleration
  • Basic algebra skills for solving equations
NEXT STEPS
  • Study the derivation and application of the formula w² = wo² + 2a(theta)
  • Learn about the relationship between linear and angular kinematics
  • Explore additional kinematic equations for angular motion
  • Practice problems involving angular deceleration and time calculations
USEFUL FOR

This discussion is beneficial for college physics students, educators teaching angular motion, and anyone interested in understanding the principles of rotational dynamics.

winterma
Messages
5
Reaction score
0
A flywheel has a constant angular deceleration of 2.5 rad/sec^2. I need to ...

1. find the angle through which the flywheel turns as it comes to rest from an angular speed of 117 rad/sec.

2. Find the time required for the flywheel to come to rest.

So i used the formula w^2=wo^2+2a(theta) since w^2 is 0, that would make theta 0, which is not possible.
 
Physics news on Phys.org
So i used the formula w^2=wo^2+2a(theta) since w^2 is 0, that would make theta 0, which is not possible.
What in the world makes you say that?
w = 0 rad/sec
wo = 117 rad/sec
a = -2.5 rad/sec^2
So solve for theta.
There's another simple equation you can use to answer part 2. You have w, wo, and a, and you need to find t. I'm sure you can find the formula in your book somewhere. If not, it is analogous to one of your 5 basic kinematic equations, simply replacing linear measurements for corresponding angular ones, so if you can't find it, you should be able to figure it out.
 
Thank you

Got it! Thanks!
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
4K
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 18 ·
Replies
18
Views
4K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
Replies
10
Views
2K