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Rotating frames

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Centrifugal and Coriolis forces appear in rotating coordinates.

In a rotating frame add centrifugal force mω²r and Coriolis force −2mω×v. They explain weather patterns and artificial gravity in space stations.

Worked example

A space station of radius 100 m at 3 rpm gives about 1 g.

Common mistake

Don't use fictitious forces in an inertial frame.

In more detail

In a rotating frame, objects experience fictitious forces such as centrifugal and Coriolis forces. These are needed to apply Newton's laws in rotating systems.

Real-world uses

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Frequently asked questions

Are these forces real?

They are not real interactions, but they produce real effects for observers in the rotating frame.

Where do they matter most?

On large rotating systems such as planets and centrifuges.

Do these effects matter on Earth?

Yes, in weather and long-range artillery, where the Earth's rotation causes small but measurable deflections.

Related topics in Rotational Motion

Nutation · Rotation of the Earth · Tops and bicycles · Euler's equations · Inertia tensor · Principal axes

← All Rotational Motion topics