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Physics / Earth

Foucault pendulum

The Earth's rotation turns the swing plane: precession ∝ sin(latitude).

Foucault pendulum — Actual application image
Actual application image

What happens

The pendulum swings in a fixed plane; it is the Earth that turns underneath. At the pole the swing plane makes a full circle per day, at 45 degrees it takes about 34 hours, at the equator it never turns: precession goes as the sine of latitude. Drag the latitude, use the preset buttons, and speed up the rotation to see it clearly. A ring of brass pins stands just inside the swing's reach: the turning platform carries each one into the frozen swing plane and the bob's pointer knocks it flat - the Panthéon staging, driven by the actual sweep, not a script.

Equations used in the module
Equations
Ω_precession = Ω_Earth sin φ
one turn in 24 h / sin φ   (32 h at Paris)
T = 2π √(L/g)

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Simple pendulum — Actual application image

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Simple pendulum

Nonlinear oscillations: the period grows with amplitude.