TEACHING INTEGRATED
MATHEMATICS AND SCIENCE



Module 5
The Moon and Eclipses

Lesson 4

TIDES




Tides result primarily from the Earth's reaction to the Moon's gravitational attraction. Since the water in the oceans is more mobile that the rocks of the Earth's surface, the Moon's gravity pulls a bulge in the oceans that is directed towards the Moon. The water on the Earth facing the Moon is more strongly attracted than the center of the Earth or the water on the side of the Earth opposite the Moon. This difference in the amount of gravitational attraction results in a tidal force which produces two rising bulges in the ocean waters. Land masses pass through each of the two tidal bulges as the Earth rotates. The land moves toward the water which is deeper than normal. The water, in turn, moves up on the land to produce a rising tide along the coastal regions. When the land rotates past the bulge, the water recedes and the tide ebbs. Successive tides occur about 50 minutes later each day because of the Moon's orbital motion. This means that there is approximately 6 hours and 13 minutes between the highest and lowest tide levels. During Full and New Moon phases, the highest tides (called spring tides) occur because the Moon and Sun are acting together to produce a greater gravitational pull. During the First and Third Quarter phases, the Moon and Sun are at right angles to each other. This means that their gravitational forces tend to counteract one another. At this time the lowest of the high tides (or neap tides) occur. Figure 2 illustrates with vectors the reason for two high tides occurring on opposite sides of the Earth.

The tides create forces on the Earth and Moon that slow their rotation, a phenomena known as tidal braking. As the Earth spins, friction between the oceans and the solid Earth below drags the tidal bulge ahead of a line drawn between the Earth and Moon centers. The Moon's gravity tries to pull the bulge back in alignment with the Moon's center. This drag is transmitted through the oceans to the Earth slowing its rate of rotation the same way a brake works to slow a turning wheel. Tidal braking is causing the Earth's period of rotation to lengthen by 0.002 seconds every 100 years.

Questions:

1. Explain how the tides in Earth's oceans are produced. How many tides occur each 24-hour period?

2. Define spring tides and neap tides.

3. Explain what happens to the water and solid portions of the Earth as the Moon's gravity attracts them?

4. What effects do tides have upon the Earth?



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The Moon and Eclipses
Link to Next Lesson:
ECLIPSES

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PRE-SERVICE EDUCATION PROGRAM



Written by:
Ronald A. Johnston
Assistant Professor
Department of Natural Sciences
Fayetteville State University
1200 Murchison Road
Fayetteville, NC 28301


Sponsored by:
Mathematics and Science Education Center
Fayetteville State University
1200 Murchison Road
Fayetteville, NC 28301
Leo Edwards, Jr., Director