# What is the tangential component? Taylor p.347

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• SebastianRM

#### SebastianRM

I do not understand why the tan component for a gravity affected by the centrifugal force:
g = Ω^2 * R * sinθ * cosθ

So I tried to draw this: using a "big" X-shaped axis where the / component goes along the main gravity direction while \ points normal to / this direction. Then the centrifugal force points out of the center of the X into the x direction, with and angle θ between the y-axis and the / direction. Thus the angle between the centrifugal force and \, should be 90 - θ, and so its projection along that direction should be cos(90-θ).
So i did not arrive to the conclusion of the book, where am I going wrong?

I do not understand why the tan component for a gravity affected by the centrifugal force:
g = Ω^2 * R * sinθ * cosθ

So I tried to draw this: using a "big" X-shaped axis where the / component goes along the main gravity direction while \ points normal to / this direction. Then the centrifugal force points out of the center of the X into the x direction, with and angle θ between the y-axis and the / direction. Thus the angle between the centrifugal force and \, should be 90 - θ, and so its projection along that direction should be cos(90-θ).
So i did not arrive to the conclusion of the book, where am I going wrong?

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