How Do You Calculate Angular Velocity of a Sphere on an Incline?

Click For Summary

Homework Help Overview

The discussion revolves around calculating the angular velocity of a solid sphere rolling down an incline, specifically focusing on the principles of energy conservation and the relationship between translational and angular motion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss using conservation of energy to relate gravitational potential energy to angular and translational kinetic energy. There is mention of the rolling without slipping condition and the relationship between linear velocity and angular velocity.

Discussion Status

Some participants have offered guidance on using energy principles, while others express confusion and seek a clearer mathematical representation of the concepts discussed. Multiple interpretations of the energy conversion process are being explored.

Contextual Notes

The original poster indicates difficulty in applying the equations and seeks assistance in understanding the steps involved, highlighting a need for clarification on the mathematical approach to the problem.

tahyus
Messages
15
Reaction score
0
1. a solid sphere (I=0.4mr^2) of mass 1.5 kg and radius 15 cm moves down a 35 degrees incline 7m long. Assuming it started from rest, what is its angular velocity in rad/s at the bottom of the incline? a)71.27 b)32.25 c)49.98 d)61.69




3.i tried by plugging in the values and trying to find the angular acceleration so i could use the L=I(angular velocity) equation; but my numbers just don't add up. pls guide me through the process

thnx

ty
 
Physics news on Phys.org
Use the principle of conservation of Energy. The gravitational potential energy is converted into Angular Kinetic Energy.
 
The gravitational potential energy is converted into angular KE AND translational KE. Assuming that rolling without slipping happens here, you can use the relation v=rw to solve for the angular velocity.
 
can someone pls provide me with a mathematical representation of the previous replies?

or at least outline the steps that i will need to follow

im a bit confused about all this

thnx

ty
 

Similar threads

How to Determine Angular Velocity of a Rolling Sphere on an Inclined Plane?
  • · Replies 11 ·
Replies
11
Views
3K
How Does Angular Momentum Conservation Affect Asteroid Collision Dynamics?
  • · Replies 335 ·
12
Replies
335
Views
17K
How Do You Correctly Cancel Angular Momentum in Physics Problems?
  • · Replies 3 ·
Replies
3
Views
2K
Determine the angular acceleration and angular velocity
  • · Replies 2 ·
Replies
2
Views
4K
Solid sphere rolling down a house roof.... angular speed
  • · Replies 2 ·
Replies
2
Views
2K
What Causes Discrepancies in Calculating Initial Angular Velocity?
  • · Replies 2 ·
Replies
2
Views
2K
Total acceleration from angular acceleration
  • · Replies 7 ·
Replies
7
Views
4K
Angular acceleration from angular velocity
  • · Replies 3 ·
Replies
3
Views
2K
Rotational Motion: Average angular acceleration of a CD
  • · Replies 2 ·
Replies
2
Views
6K
Angular Velocity Of A Sphere Rotating Under Gravity
  • · Replies 2 ·
Replies
2
Views
2K