Coriolis Force Direction with Rotating Ball and Velocities

AI Thread Summary
The discussion focuses on determining the direction of the Coriolis force for a rotating ball with given angular velocity and two different velocity vectors. The Coriolis force is expressed as F = 2m(v x ω), where the vector product is essential for calculating the force direction. Participants note that while the vector product provides coordinates, it does not directly indicate the force's direction without further analysis. Calculations for the two velocities yield specific force components, indicating the need for clarity in understanding the Coriolis effect. Overall, the conversation emphasizes the importance of vector analysis in solving the problem.
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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





 
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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!
 

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