Which direction is the average acceleration going?

Click For Summary
SUMMARY

The average acceleration of an object moving along a circular path with constant speed is directed towards the center of the circle, which is the definition of centripetal acceleration. In this discussion, the participants clarify that the average acceleration cannot be simply determined by the velocity direction at points A and B, especially when they are perpendicular. The correct approach involves understanding that the average acceleration is influenced by the change in velocity vector over time, and it is always directed inward, towards the center of the circular path.

PREREQUISITES
  • Understanding of centripetal acceleration and its relation to circular motion
  • Familiarity with vector addition and the concept of average acceleration
  • Knowledge of Newton's second law (F=ma)
  • Basic skills in sketching vector diagrams
NEXT STEPS
  • Study the concept of centripetal force and its applications in circular motion
  • Learn how to calculate average acceleration in circular motion scenarios
  • Explore vector addition techniques for analyzing motion in two dimensions
  • Review the relationship between tangential acceleration and centripetal acceleration
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and circular motion, as well as educators looking for clear explanations of average acceleration in circular paths.

iamjohnny56
Messages
10
Reaction score
0

Homework Statement



An object moves along a circular path with a constant speed, |v|.

2ikz9fb.png


The average acceleration in going from A to B is
1. south
2. zero
3. west
4. north
5. east
6. none of the others


Homework Equations



a = Δv / Δt

tangential acceleration = mv^2 / r

The Attempt at a Solution



I'm not sure how to approach this question, but I think that the answer is east. A and B are perpendicular, and at the 45 degree line, the velocity would be pointing due east, so wouldn't the acceleration also?

Could someone point me in the starting direction/tell me what I'm missing?
 
Physics news on Phys.org
First of all theta only looks to be 45deg.
Second:
av acc = (vb - va)/t = [vb + (-va)]/t
Draw a diagram to find resultant of vb + (-va).
 
iamjohnny56 said:
tangential acceleration = mv^2 / r

What you have here is actually the equation for the centripetal force (because mass is included). Remember F=ma, so the direction of this force will also be the direction of the centripetal acceleration (and if this is the only force acting on the object the direction of the total acceleration). http://en.wikipedia.org/wiki/Centripetal_force To find the average direction, maybe sketch the centripetal acceleration at a few different points symmetric across the center dotted line.
 

Similar threads

  • · Replies 16 ·
Replies
16
Views
2K
  • · Replies 13 ·
Replies
13
Views
7K
Replies
20
Views
2K
  • · Replies 8 ·
Replies
8
Views
7K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 12 ·
Replies
12
Views
3K
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K