Coriolis Force Direction with Rotating Ball and Velocities

Click For Summary

Homework Help Overview

The problem involves determining the direction of the Coriolis force acting on a rotating ball with a specified angular velocity and two different velocity vectors. The subject area pertains to dynamics and rotational motion, specifically the effects of rotation on forces experienced by moving objects.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the formula for the Coriolis force and its dependence on the vector product of velocity and angular velocity. There are questions regarding the adequacy of the problem statement, particularly the lack of angles and clarity in the setup.

Discussion Status

The discussion is ongoing, with participants sharing their calculations for the Coriolis force based on the given velocities. Some guidance has been offered regarding the vector product and its interpretation, but there is no explicit consensus on the correctness of the problem or the results obtained.

Contextual Notes

Participants note that the problem does not specify angles, which raises questions about the completeness of the information provided. There is also a focus on understanding the implications of the vector product in determining direction.

buzzing
Messages
3
Reaction score
0

Homework Statement




A rotating ball with rotational angular velocity ω= (0,0,ωz) . What is the direction of the coriolis force with the following velocities: Va = (Vx, Vy,0) ; Vb= (Vx, 0,Vz)

Homework Equations



All i know about coriolis force is F= 2m(vχω). The question even doesn't say any angles. So i am not too sure if the question is right.

The Attempt at a Solution





 
Physics news on Phys.org
buzzing said:
All i know about coriolis force is F= 2m(vχω). The question even doesn't say any angles. So i am not too sure if the question is right.

The Coriolis force is 2m times the vector product v x ω. Recall how to obtain the vector product using coordinates.

ehild
 
the vector product only gives a multipication of co ordinates but doesn't give the direction though.
 
The vector product gives the coordinates of the product vector. You can find from the components what angles the force vector enclose with the axes.
Show what you got for the Coriolis force in case of both velocities.

ehild
 
Last edited:
The two product for each velocity i got is (-WZVy,WzVx,0). and the next one is (0,WzVx,0).

Thanks for replies ehlid!
 

Similar threads

Horizontal component of the Coriolis force
  • · Replies 2 ·
Replies
2
Views
998
Direction of the Coriolis force
  • · Replies 13 ·
Replies
13
Views
3K
Dynamic reaction versus Coriolis acceleration of the disk
  • · Replies 1 ·
Replies
1
Views
2K
Graduate What researchers think of the Coriolis force
  • · Replies 4 ·
Replies
4
Views
2K
Coriolis force and the Earth's rotation
  • · Replies 18 ·
Replies
18
Views
3K
Coriolis Force Across the Equator
  • · Replies 10 ·
Replies
10
Views
3K
Angular momentum of a rotating disc
  • · Replies 3 ·
Replies
3
Views
2K
Train experiencing Coriolis force
  • · Replies 9 ·
Replies
9
Views
8K
A rocket and the Coriolis acceleration
  • · Replies 25 ·
Replies
25
Views
2K
Understanding Coriolis Force in a Rotating Pipe
  • · Replies 6 ·
Replies
6
Views
3K