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Express the Coriolis force in polar coordinates

Express the Coriolis force in polar coordinates

Science   Advanced-Physics   
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Answer #1

Suppose a body of mass m moving with velocity v in a frame rotating with angular velocity w ​​​​​​. Then the coriolis force acting on the body in the rotating frame is given by

To get the coriolis force in polar coordinate suppose a disc is rotating in X-Y plane and a body of mass m moving randomly with velocity

Then

Therefore coriolis force acting on the body

Or

Or

Or

This is the polar form of coriolis force.

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