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Explore the differences between equilibrium and dynamic tide theories, considering factors like ocean depths, landmass interference, and rotational effects. Learn about tidal powers installations and phenomena like tidal bores in various parts of the world.
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Tides Equilibrium vs. Dynamic Theory • Equilibrium Tide Theory assumes: • Earth has 2 equal tidal bulges, toward & away from Moon • ocean covers entire Earth; has uniform depth • no friction between ocean & seafloor • continents have no influence
Tides F=G m1m2 r2
Tides T=G m1m2 r3
Tides T=-G m1m2 r3
Tides What about the Sun??? Isn’t it a lot bigger than the Moon???
Tides T=G m1m2 r3
Tides What is the wave period of a semidiurnal tidal wave? 12 hours, 25 minutes
Tides ~50 minutes
Tides Diurnal tides
Tides 27 ½ day cycle Perigee + Spring tide = proxigean Effects of elliptical orbits
Tides Dynamic Tide Theory: Tries to resolve differences between equilibrium predictions and actual observed behavior. Takes into account: • ocean depths (tides are shallow- water waves) • interference of landmasses • shape of ocean basins • effects of rotation (Coriolis effect) • + ~150 over factors
Tides Tidal power installation, western France
Tides Tidal bore – Qiantang River, China
Tides Tidal bore, New Brunswick, Canada
Tides Thames River, London – $1.3 billion tidal flood control barrier