- #1

MatinSAR

- 597

- 182

- Homework Statement
- Show that the horizontal component of the Coriolis force is independent of the direction of motion of the particle on Earth's surface.(The particle is moving on a horizontal plane.)

- Relevant Equations
- Newton's Laws in non-inertial reference frames.

The coriolis force that acts on the object moving on the Earth is: $$F_{cor}=2m(\vec v \times \vec \omega)$$##F_{cor}## is the Coriolis force, ##m## is the mass of the object, ## \vec{v}## is the velocity of the object in the Earth frame, and ## \vec{\omega}## is the angular velocity of the Earth.

Is it true to say that the horizontal component of this force is equal to ##2m \omega v \sin \theta## where ##\theta## is the angle between ##\vec \omega## and ##\vec v##?

Is it true to say that the horizontal component of this force is equal to ##2m \omega v \sin \theta## where ##\theta## is the angle between ##\vec \omega## and ##\vec v##?