Coriolis force - Question about sign

[Curious2013]

Dear all

I have a question concerning the Coriolis acceleration expression. I learned it as Ac = -2ω x v, where ω is the vector which indicates the rotation axis direction of Earth and v the velocity of a body that I want to check the Coriolis effect on.

My question: where the minus sign comes from? As far as I understand, it depends on what reference frame I use (inertial or non inertial - the minus comes from the latter, like the Earth, in my conception). Am I correct?

Thanks in advance!

 

[A.T.]

Dear all

I have a question concerning the Coriolis acceleration expression. I learned it as Ac = -2ω x v, where ω is the vector which indicates the rotation axis direction of Earth and v the velocity of a body that I want to check the Coriolis effect on.

My question: where the minus sign comes from?

You can swap ω and v, and the minus sign is gone:

-2ω x v = 2v x ω

As far as I understand, it depends on what reference frame I use (inertial or non inertial

The Coriolis force exist only in non inertial frames.

 

[AlephZero]

The minus sign is there because humans made the arbitrary decision to use right-handed coordinate systems rather than left handed ones.

The Coriolis force is just a consequece of Newton's laws of motion. The physics doesn't depend on what frame you use to describe it, or whether the frame is inertial or non-inertial. The details of the math depend on those things, but "the map is not the country", and similarly "the math is not the phyiscs".

 

[tiny-tim]

The minus sign is there because humans made the arbitrary decision to use right-handed coordinate systems rather than left handed ones.

no, it would still be there, because you'd still need v = ω x r

(btw, this is a duplicate thread to https://www.physicsforums.com/showthread.php?t=659387)

 

[A.T.]

The minus sign is there because humans made the arbitrary decision to use right-handed coordinate systems rather than left handed ones.

To me it seems more like it's the arbitrary decision to have ω first in the term.