Sydney is at latitude and Quito is at latitude .

PHYSICS · Multi-part · Fermi University Physics · Mathematical Methods for Physics · Mechanics & Dynamical Systems · Rotation, rigid bodies and accelerated frames

Invariance, Ch The metric, the connection and geodesics

Problem

Sydney is at latitude

33.87^\circ\mathrm{S}

and Quito is at latitude

0.22^\circ\mathrm{S}

. ((a)) Before calculating, predict which city has the longer Foucault pendulum period, and say whether either value should be close to some recognisable limit. ((b)) Using

T(\lambda) = T_{\rm sid}/\sin\lambda

with

T_{\rm sid} = 23.93\,\mathrm{h}

and

\lambda

the magnitude of the latitude, compute both periods.

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