In rolling, how is Vcom related to ω?

  • Context: Undergrad 
  • Thread starter Thread starter AakashPandita
  • Start date Start date
  • Tags Tags
    Rolling
Click For Summary
SUMMARY

The relationship between angular velocity (ω) and linear velocity (v) in rolling motion is defined by the equation ω = v/r, where r is the radius of the rolling object. In this context, v represents the linear velocity of the center of mass (COM) of the object, which is distinct from the tangential velocity at the rim. The rim's velocity is zero when the object rolls without slipping, confirming that v is indeed the velocity of the COM.

PREREQUISITES
  • Understanding of basic physics concepts such as velocity and angular motion.
  • Familiarity with the principles of rolling motion and friction.
  • Knowledge of the relationship between linear and angular quantities.
  • Basic mathematical skills to manipulate equations involving radius and velocity.
NEXT STEPS
  • Study the concept of rolling without slipping and its implications on motion.
  • Explore the derivation of the relationship between linear and angular velocity in different contexts.
  • Learn about the effects of friction on rolling objects and how it influences motion.
  • Investigate real-world applications of rolling motion in mechanical systems.
USEFUL FOR

Physics students, educators, and anyone interested in understanding the dynamics of rolling motion and its mathematical relationships.

AakashPandita
Messages
157
Reaction score
0
Everybody says that ω=v/r. But isn't that v tangent to the cirle?
 
Physics news on Phys.org
v is the velocity difference between the COM and the rim. The rim is at rest, so v is the velocity of the COM.
 

Similar threads

Undergrad Velocity transformation between frames rotating relative to one another
  • · Replies 1 ·
Replies
1
Views
2K
High School Rolling of non-deforming sphere on a non-deforming rough surface?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Rolling Without Slipping
  • · Replies 59 ·
2
Replies
59
Views
5K
Undergrad Rolling with slipping and conditions for not slipping
  • · Replies 7 ·
Replies
7
Views
4K
High School Why is static friction necessary for pure rolling?
  • · Replies 4 ·
Replies
4
Views
3K
Graduate Rolling without Slipping - axes of rotation and centripital acceleration
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Rolling ball, change of direction
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Friction in rolling without slipping
  • · Replies 7 ·
Replies
7
Views
6K
Graduate What is the kinematics of a rolling disc on a tilted plane?
  • · Replies 8 ·
Replies
8
Views
3K
Undergrad Rolling friction and static friction....
  • · Replies 2 ·
Replies
2
Views
2K