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Questions and Answers
Which of the following best describes a key difference between the equilibrium and dynamic theories of tides?
Which of the following best describes a key difference between the equilibrium and dynamic theories of tides?
According to the equilibrium theory, what is the primary reason Earth and the moon do not collide?
According to the equilibrium theory, what is the primary reason Earth and the moon do not collide?
Within the framework of the equilibrium theory of tides, which of the following assumptions is made?
Within the framework of the equilibrium theory of tides, which of the following assumptions is made?
The Earth-moon system revolves around a common center of mass. Where is this center of mass located?
The Earth-moon system revolves around a common center of mass. Where is this center of mass located?
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According to the equilibrium theory, what is the primary cause of the two tidal bulges on Earth?
According to the equilibrium theory, what is the primary cause of the two tidal bulges on Earth?
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Tractive forces, which are the combination of inertia and gravitational forces, are represented by red arrows at four places on earth (1, 2, 3, and 4). What is the main principle governing the magnitude and direction of these forces?
Tractive forces, which are the combination of inertia and gravitational forces, are represented by red arrows at four places on earth (1, 2, 3, and 4). What is the main principle governing the magnitude and direction of these forces?
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How does the equilibrium theory explain the occurrence of tides on the side of Earth farthest from the moon?
How does the equilibrium theory explain the occurrence of tides on the side of Earth farthest from the moon?
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If a planet were uniformly covered by water and lacked any continents, which tidal theory would most accurately predict its tides?
If a planet were uniformly covered by water and lacked any continents, which tidal theory would most accurately predict its tides?
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According to the equilibrium theory of tides, what primarily causes the two bulges of water on opposite sides of Earth?
According to the equilibrium theory of tides, what primarily causes the two bulges of water on opposite sides of Earth?
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At which point on Earth's surface is the inward pull of gravity and the outward-moving tendency of inertia from the moon exactly equal and opposite?
At which point on Earth's surface is the inward pull of gravity and the outward-moving tendency of inertia from the moon exactly equal and opposite?
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In the equilibrium model of tides, if an island is located on the equator, how does it experience the tidal bulges as the Earth rotates?
In the equilibrium model of tides, if an island is located on the equator, how does it experience the tidal bulges as the Earth rotates?
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Why is a complete tidal day approximately 24 hours and 50 minutes long, rather than exactly 24 hours?
Why is a complete tidal day approximately 24 hours and 50 minutes long, rather than exactly 24 hours?
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How does the moon's position relative to the equator affect tidal bulges and the experience of tides at a specific location?
How does the moon's position relative to the equator affect tidal bulges and the experience of tides at a specific location?
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Why is the sun's influence on Earth's tides less than half as strong as the moon's?
Why is the sun's influence on Earth's tides less than half as strong as the moon's?
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How do the positions of the sun, Earth, and moon affect the intensity of tides, specifically during spring tides?
How do the positions of the sun, Earth, and moon affect the intensity of tides, specifically during spring tides?
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Under what alignment of the sun, Earth, and moon do neap tides occur, and what is the effect on high and low tides?
Under what alignment of the sun, Earth, and moon do neap tides occur, and what is the effect on high and low tides?
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How does the varying distance between the Earth and the moon (apogee and perigee) affect tidal crests?
How does the varying distance between the Earth and the moon (apogee and perigee) affect tidal crests?
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What conditions lead to the occurrence of extreme spring tides?
What conditions lead to the occurrence of extreme spring tides?
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What defines the period of the solar hour angle, which influences tidal frequency?
What defines the period of the solar hour angle, which influences tidal frequency?
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What is the period of the lunar hour angle, and how does it differ from the solar hour angle?
What is the period of the lunar hour angle, and how does it differ from the solar hour angle?
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How does the inclination of Earth's axis of rotation (23.45°) influence tidal variations?
How does the inclination of Earth's axis of rotation (23.45°) influence tidal variations?
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What is the approximate mean angle of the moon's orbit relative to the plane of the ecliptic?
What is the approximate mean angle of the moon's orbit relative to the plane of the ecliptic?
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With what period does lunar declination vary, and how does this variation impact tidal patterns?
With what period does lunar declination vary, and how does this variation impact tidal patterns?
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Flashcards
Equilibrium Theory
Equilibrium Theory
Explains tides based on gravitational forces of the moon and sun, ignoring ocean depth and landmasses.
Dynamic Theory
Dynamic Theory
Considers the effects of ocean depth, landmasses, and water movement on tidal patterns.
Tidal Potential
Tidal Potential
The effect of the moon's and sun's gravitational attraction that influences ocean tides.
Inertia
Inertia
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Gravitational Attraction
Gravitational Attraction
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Tidal Bulges
Tidal Bulges
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Tractive Forces
Tractive Forces
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Center of Mass
Center of Mass
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Equilibrium Theory of Tides
Equilibrium Theory of Tides
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Lunar Tidal Day
Lunar Tidal Day
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Equator Offset
Equator Offset
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Solar Tides
Solar Tides
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Astronomical Tides
Astronomical Tides
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Spring Tide
Spring Tide
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Neap Tide
Neap Tide
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Tidal Frequency
Tidal Frequency
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Apogee and Perigee
Apogee and Perigee
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Lunar Orbit
Lunar Orbit
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Solar Bulges
Solar Bulges
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Ecliptic
Ecliptic
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Study Notes
Equilibrium Theory of Tides
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Basic Principle: Tidal potential arises from gravitational attraction of the moon and sun. The theory explains tides by considering the forces that keep a planet in orbit. Crucially, it assumes the seafloor has no influence, ocean surfaces instantly conform to forces, and the ocean surface is always in equilibrium.
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Gravitational Force and Inertia: Earth and moon are in a stable orbit due to balanced gravitational attraction and inertia (centrifugal force). Their center of mass is located inside Earth. Moon's gravity pulls ocean water toward it, creating a bulge. Earth's rotation around the common center of mass generates a second bulge on the opposite side.
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Tractive Forces: Tractive forces result from the combined gravitational and inertial forces. Points closer to the moon experience greater gravitational pull, while points farther away experience stronger inertia. This results in two tidal bulges on Earth, aligned with and opposite to the moon.
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Rhythm of Tides: Tidal bulges stay aligned with the moon as Earth rotates. This causes high and low tides. The tidal wave's wavelength is exceptionally long (up to 20,000 km).
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Lunar Tides Complications:
- Longer Tidal Day: A complete tidal cycle takes 24 hours and 50 minutes because the moon moves during Earth's rotation.
- Equator Offset: The moon's position above or below the equator affects tidal bulges' position.
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Solar Tides: Solar tides are caused by the sun's gravitational interactions. They are weaker than lunar tides (about 46% of the moon's effect) and the sun's bulges also move throughout the day. The position of solar bulges varies with the sun's position above/below the equator, which is much slower than the moon's position.
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Astronomical Tides: Tides are caused by the combined gravitational forces of the sun and moon.
- Spring Tides: Occur when the sun, Earth, and moon are aligned, leading to the highest high tides and lowest low tides.
- Neap Tides: Occur when the sun, Earth, and moon form a right angle, leading to less extreme tidal ranges.
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Tidal Force and Distance: Tidal force is inversely proportional to the cube of the distance between the bodies. The closer the moon, the higher the tidal crest. The same applies to the sun.
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Tidal Frequency:
- Period of Changes: Factors influencing tidal changes are solar hour angle (24 hours), lunar hour angle (24 hours 50.47 minutes), Earth's tilt (23.45 degrees), and moon's elliptical orbit.
- Moon's Orbit: More complex than the sun's orbit, inclined at a mean angle relative to the plane of the ecliptic.
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Description
The equilibrium theory explains tides using gravitational and inertial forces between Earth, the moon and the sun. Gravitational attraction and inertia balance each other, creating tidal bulges. Tractive forces, which are a combination of gravity and inertia, cause these bulges on opposite sides of the Earth.