6) a)Define a coordinate system on the Earth at a colatitude of θ such that z...

6) a)Define a coordinate system on the Earth at a colatitude of θ such that z is pointed radially outward along the radius of Earth, y is pointed to the North, and x is pointed to the East. Using the fact that the Earth rotates as some constant angular velocity ω pointed“up” along the axis of rotation, derive the general expression for the x, y, and z accelerations for an object thrown with some initial velocity [ v0=(v0 x , v0 y , v0 z ) ] just above the surface of the Earth. This object moves under the influence of gravity and the Coriolis Force. [Hint: Use zeroth order approximation of acceleration with respect to ω and the initial condition to substitute for the velocity terms]

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genius_generous answered 1 year ago

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