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16_tides_A

# 16_tides_A - TidesI GS222 Lecture16 Overviewthislecture...

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Tides I GS222 Lecture 16

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Overview - this lecture Key characteristics Tide generating forces Equilibrium theory of the tides
Characteristics of Tides Long periods, typically 12-24 hours Long wavelengths, on order of  ½  earth’s  circumference Caused by lunar and solar forces ~11 m tidal range, note cargo containers for scale

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Tides are waves
Tide generating forces Gravitational attraction between earth and moon and  earth and sun are the primary driving forces of the  tides  gravitational force mass of objects (1 and 2) distance between center of objects Newton’s Law of Gravitation: F   = G (M x M 2 ) D 2 gravitational constant

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Tide generating forces Newton’s Law of Gravitation: F   = G (M x M 2 ) D 2 Objects with larger mass exert larger force Gravitational force is inversely proportional to square  of the distance between objects F keeps us from floating off into space (ball, moon)
Tide generating forces Two orbiting bodies orbit around common center of mass The more massive object is closer to the center point As earth and moon orbit, they are constrained by a centripetal  or center-seeking force, supplied by gravity

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Moon and earth  are ‘tethered’ by  gravity Gravity causes  earth and moon to  seek center of  their orbits.

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Tide generating forces Centripetal force is balanced by outward force, called the  reactive centrifugal force (RCF) CF RCF All particles on earth are subject to the same CF and  RCF, but to varying gravitational force If RCF does not equal average gravitational force, orbit it  not maintained
Tide generating forces

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