The mass m is dropped from a height h. Find the magnitude of Coriolis deflection and...

The mass m is dropped from a height h. Find the magnitude of Coriolis deflection and its direction (i.e north south east or west). You can assume location
being in the northern hemisphere at latitude θ and that rotation of the Earth is slow.

Solutions

Expert Solution

The Coriolis force will cause a deflection from a vertical path as the object falls. Lets call the direction the local upward vertical. We need to pick two directions perpendicular to that to form a coordinate system. We can choose the direction be be north and then we must choose east to be in the direction to have a right handed coordinate system.

Vz= -gt For a downward velocity, the Coriolis acceleration is to the east,

where will be a negative number.

One can integrate this equation to find the deflection when a cannonball is dropped from a height .

Hence you can find the deflection due to coriolis force

genius_generous answered 1 month ago

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