Tangential and radial acceleration of particle

Click For Summary
SUMMARY

The discussion focuses on the tangential and radial acceleration of a particle in circular motion. The correct interpretation is that the tangential acceleration is in the direction of the velocity vector, while the radial acceleration points inward, towards the center of the circular path. This confirms that option (a) is the accurate representation of the relationship between these accelerations. Understanding these concepts is crucial for analyzing circular motion dynamics.

PREREQUISITES
  • Understanding of circular motion principles
  • Familiarity with acceleration types in physics
  • Knowledge of vector directionality
  • Basic grasp of kinematics equations
NEXT STEPS
  • Study the concept of centripetal acceleration in circular motion
  • Learn about the relationship between tangential and radial accelerations
  • Explore kinematic equations related to circular motion
  • Investigate real-world applications of circular motion dynamics
USEFUL FOR

Physics students, educators, and anyone interested in understanding the dynamics of circular motion and the behavior of particles under acceleration.

DG1102
Messages
1
Reaction score
0

Homework Statement



In the case of a speeding particle undergoing circular motion:

a) the tangential acceleration is int he direction of the velocity vector and the radial acceleration points in the direction of the position vector
b)the tangential acceleration is perpendicular to the velocity vector and the radial acceleration points perpendicular to the position vector
c)the tangental acceleration is opposite the velocity vector and the radial acceleration points opposite the position vector
d)the tangential acceleration is int he direction of the velocity vector and the radial acceleration poitns opposite the position vector.

The Attempt at a Solution



I think the answer is either a or d, I'm not sure which way the radial acceleration points in this case.
 
Physics news on Phys.org
The position vector points from the origin (presumably the center of the circle in this case) outward to the particle. So, ask yourself what the motion of the particle would be if it had a tangential velocity and was (a) accelerating outward and (d) accelerating inward ...circular motion is only possible in one of these two cases.
 

Similar threads

  • · Replies 25 ·
Replies
25
Views
2K
  • · Replies 37 ·
2
Replies
37
Views
5K
Replies
3
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 24 ·
Replies
24
Views
4K
Replies
12
Views
2K
Replies
1
Views
924
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K