Ball in Vertical Circle on End of String, Tangential and Radial Acceleration

  • Thread starter xslc
  • Start date
  • #1
6
0

Homework Statement



A ball swings in a vertical circle at the end of a rope 1.30 m long. When the ball is 36.1° past the lowest point on its way up, its total acceleration is (-22.5 i + 20.2 j) m/s2.

(a) Determine the magnitude of its radial acceleration.

(b) Determine the speed and velocity of the ball.


Homework Equations



A = v^2/r
Ar = Atotal - Atangential

The Attempt at a Solution



I have no idea where to go with this. I am stuck on the first part. My issue is in figuring out the tangential acceleration so that I can subtract that from the total acceleration to find the radial/centripetal acceleration. My thought is that tangential acceleration should be zero, because the ball is swinging on the end of a string, and its speed should not be changing, only its velocity.
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
6,223
31
You have a=(-22.5 i + 20.2 j) m/s2. The acceleration vector is made up of the sum of the radial and tangential acceleration. Using your coordinate system, the j vector points up or towards the center of rotation right? So the radial acceleration is?
 
  • #3
6
0
You have a=(-22.5 i + 20.2 j) m/s2. the j vector points up or towards the center of rotation right?

no, up is not towards the center of rotation. it is 36.1 degrees past the bottom
 

Related Threads on Ball in Vertical Circle on End of String, Tangential and Radial Acceleration

  • Last Post
Replies
0
Views
8K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
2
Views
8K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
7
Views
34K
  • Last Post
Replies
1
Views
4K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
3
Views
4K
Top