Coriolis Force in East-West Direction

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SUMMARY

The Coriolis force affects objects traveling east or west due to the interaction between their velocity and the Earth's rotation. Specifically, the Coriolis force is defined by the equation -2m(ω × v), where ω represents the angular velocity of the Earth and v is the object's velocity in the rotating reference frame. This force is perpendicular to the direction of movement, causing objects in the Northern Hemisphere to drift to the right. The Coriolis effect is zero at the equator, but it becomes significant as one moves away from it, influencing the motion of free-floating objects in large bodies of water.

PREREQUISITES
  • Understanding of the Coriolis force and its mathematical representation
  • Familiarity with angular velocity and its implications in physics
  • Knowledge of spherical geometry and great circle routes
  • Basic principles of motion in rotating reference frames
NEXT STEPS
  • Study the mathematical derivation of the Coriolis force in rotating systems
  • Explore the Eötvös effect and its relationship to the Coriolis force
  • Examine real-world applications of the Coriolis effect in meteorology and oceanography
  • Learn about the implications of the Coriolis force in navigation and aviation
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Students of physics, meteorologists, oceanographers, and anyone interested in understanding the dynamics of motion on a rotating Earth.

  • #31
pbuk said:
Ah, but if my starting point is the Earth's surface then this understanding:

is no help to me: I cannot fire a cannonball into the surface of the Earth, and an object on a rotating disc cannot move north (up).
Then start with the Earth's surface near the North Pole. It's almost like a rotating disc.
 
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  • #32
A.T. said:
I don't think the decomposition of the Coriolis force based on the Earth surface (like done in Earth science) is relevant to the OP's question. The question can be answered using the basic definition of the Coriolis force in a rotating reference frame, which is independent of any specific surface. East-West translates to tangential movement with or against the reference frame rotation.
Yes, I do actually regret framing the question specifically about the Earth since I would have the same exact confusion with respect to an object traveling tangentially on a rotating disc.

Thank you very much to everyone for all the posts; I'm still not that clear when it comes to relating the derivations with a conceptual understanding but it sort of makes sense to me.
 
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  • #33
person123 said:
Thank you very much to everyone for all the posts; I'm still not that clear when it comes to relating the derivations with a conceptual understanding but it sort of makes sense to me.
You're welcome. The radial Coriolis force component is a common source of confusion, because the definitions of the inertial forces in a rotating frame are based on mathematical simplicity, rather than ease of intuitive conceptualization. Here my explanation from a previous thread:
A.T. said:
One intuitive way to think about the radial Coriolis force, is as a velocity dependent modification of the centrifugal force. In fact you could order the inertial force terms in a rotating frame by direction, and lump the radial Coriolis force with radial centrifugal force. But for mathematical and historical reasons we separate them as position dependent term (centrifugal) and a velocity dependent term (Coriolis).
 
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