Understanding the Coriolis Effect: A Practical Exercise in Planetary Geology, Lecture notes of Geology

Instructions for an exercise aimed at demonstrating the Coriolis effect, an apparent deflection of moving objects on rotating planets. The exercise involves using a turntable to draw straight lines while spinning it in different directions. Students are expected to understand the concept of the Coriolis effect and its implications for weather patterns and large-scale movements on Earth and other planets.

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87
EG-1998-03-109-HQ Activities in Planetary Geology for the Physical and Earth Sciences
Exercise Seven: Coriolis Effect
Purpose
The objective of this exercise is to demonstrate
that an object which moves in latitude over the sur-
face of a rotating planet experiences the Coriolis
effect, an apparent deflection of its path from a
straight line. Upon completion of this exercise the
student should understand the concept of the
Coriolis effect and be able to understand viewing an
event from different frames of reference.
Materials
Suggested: lazy susan type turntable (must be
able to be rotated clockwise and counterclockwise),
paper, tape, markers (3 colors)
Background
The Coriolis effect is caused by an ÒimaginaryÓ
force but has very real effects on the weather of
Earth and other planets. On Earth, which spins
counterclockwise as viewed from above its north
pole, objects are deflected to the right in the north-
ern hemisphere and to the left in the southern hemi-
sphere. This deflection is only apparent, however, as
an observer watching from space would see the
objectÕs path as a straight line. It is because we are
viewing in the frame of reference of the rotating
Earth that we see the apparent deflection.
This exercise demonstrates the Coriolis effect by
using a rotating turntable. Students will draw
straight lines while spinning the turntable in differ-
ent directions. To their surprise the resultant lines
will be curves on the paper covering the turntable.
This apparent deflection, the Coriolis effect, only
occurs in the frame of reference of the turntable. The
students, in a different frame of reference, know that
the path of the marker used to draw the line was
straight. On the sphere of the Earth, we occupy the
same reference frame as the motion, so we ÒseeÓ the
Coriolis effect in action. To an outside observer, who
is occupying another reference frame, there is no
deflection and the motion is a straight line.
This concept has important implications for the
motion of ocean currents, storms on Earth, and even
missiles, but is unimportant at smaller scales. In
combination with pressure effects, the Coriolis
deflection gives rise to a counterclockwise rotation
of large storms, such as hurricanes, in the northern
hemisphere, and clockwise rotation in the southern
hemisphere. This could be illustrated to students
through pictures of hurricanes or other large storms
found in newspapers, magazines, or elsewhere in
this lab manual.
Students should work in pairs, one spinning the
turntable at a constant speed and the other marking
the line. Instructors should note that the spinning of
the Earth once a day on its axis is called rotation.
Students can experiment with rotating their
turntable faster or slower to see the effect on the
drawn lines. A faster spin will result in greater
deflection. If time or materials are a problem, this
exercise can be done as a demonstration by the
instructor.
Vector motion of the surface of a sphere is com-
plex. The magnitude of the Coriolis effect is con-
trolled by rotation about the vertical axis. On Earth
the vertical axis of rotation is a line connecting the
geographic north and south poles. On a rotating
sphere, the maximum rotation is at the poles; there
is no rotation about the vertical axis at the equator.
To visualize this, imagine two flat disks glued onto
the surface of a sphere, one at the north pole and
one at the equator. As the sphere rotates, the disk at
Exercise
Seven Coriolis Effect
Instructor Notes
Suggested Correlation of Topics
Air and its movements, atmospheres, circula-
tion of air or sea, meteorology, ocean
currents, physics: forces and mechanics,
planetary rotation
1.0 hours
pf3
pf4
pf5

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87

EG-1998-03-109-HQ Activities in Planetary Geology for the Physical and Earth Sciences

Exercise Seven: Coriolis Effect

Purpose

The objective of this exercise is to demonstrate that an object which moves in latitude over the sur- face of a rotating planet experiences the Coriolis effect, an apparent deflection of its path from a straight line. Upon completion of this exercise the student should understand the concept of the Coriolis effect and be able to understand viewing an event from different frames of reference.

Materials

Suggested: lazy susan type turntable (must be able to be rotated clockwise and counterclockwise), paper, tape, markers (3 colors)

Background

The Coriolis effect is caused by an “imaginary” force but has very real effects on the weather of Earth and other planets. On Earth, which spins counterclockwise as viewed from above its north pole, objects are deflected to the right in the north- ern hemisphere and to the left in the southern hemi- sphere. This deflection is only apparent, however, as an observer watching from space would see the object’s path as a straight line. It is because we are viewing in the frame of reference of the rotating Earth that we see the apparent deflection.

This exercise demonstrates the Coriolis effect by using a rotating turntable. Students will draw straight lines while spinning the turntable in differ- ent directions. To their surprise the resultant lines

will be curves on the paper covering the turntable. This apparent deflection, the Coriolis effect, only occurs in the frame of reference of the turntable. The students, in a different frame of reference, know that the path of the marker used to draw the line was straight. On the sphere of the Earth, we occupy the same reference frame as the motion, so we “see” the Coriolis effect in action. To an outside observer, who is occupying another reference frame, there is no deflection and the motion is a straight line.

This concept has important implications for the motion of ocean currents, storms on Earth, and even missiles, but is unimportant at smaller scales. In combination with pressure effects, the Coriolis deflection gives rise to a counterclockwise rotation of large storms, such as hurricanes, in the northern hemisphere, and clockwise rotation in the southern hemisphere. This could be illustrated to students through pictures of hurricanes or other large storms found in newspapers, magazines, or elsewhere in this lab manual. Students should work in pairs, one spinning the turntable at a constant speed and the other marking the line. Instructors should note that the spinning of the Earth once a day on its axis is called rotation. Students can experiment with rotating their turntable faster or slower to see the effect on the drawn lines. A faster spin will result in greater deflection. If time or materials are a problem, this exercise can be done as a demonstration by the instructor. Vector motion of the surface of a sphere is com- plex. The magnitude of the Coriolis effect is con- trolled by rotation about the vertical axis. On Earth the vertical axis of rotation is a line connecting the geographic north and south poles. On a rotating sphere, the maximum rotation is at the poles; there is no rotation about the vertical axis at the equator. To visualize this, imagine two flat disks glued onto the surface of a sphere, one at the north pole and one at the equator. As the sphere rotates, the disk at

Exercise

Seven

Coriolis Effect

Instructor Notes

Suggested Correlation of Topics Air and its movements, atmospheres, circula- tion of air or sea, meteorology, ocean currents, physics: forces and mechanics, planetary rotation

1.0 hours

88

Activities in Planetary Geology for the Physical and Earth Sciences EG-1998-03-109-HQ

the north pole rotates around the vertical rotation axis of the sphere. The vertical axis of the sphere is also the axis of rotation of the disk. If viewed from above, the disk spins in one spot, just as the sphere does. The surface of the disk at the equator is paral- lel to the vertical rotation axis of the sphere. When the sphere rotates, this disk revolves around the axis. There is no spin or rotation of the disk at the equator. The magnitude of the Coriolis effect increases from the equator where it has no effect to the poles. The turntable is equivalent to the disk at the pole of the sphere, and illustrates the maximum Coriolis effect.

The Coriolis effect operates on Mars in a similar way as on Earth. Because Mars rotates at about the same rate and in the same sense as Earth, Mars has

large-scale weather systems just like on the Earth. Students might try to predict the direction that the Coriolis effect would deflect objects on Venus or Uranus, which spin clockwise as viewed from “above” (north of) the solar system. Advanced stu- dents and upper grades can answer the optional starred (*) question, which applies their observa- tions to more complex situations.

Science Standards

n Earth and Space Science

  • Origin and evolution of the Earth system
  1. The line is straight.
  2. Unlike the real Earth, this model is not rotating.
  3. The line was deflected to the right.
  4. Counterclockwise.
  5. It would be deflected to the right.
  6. It was deflected to the left.
  7. Clockwise.
  8. It would be deflected to the left. [The direction of travel does not matter in the deflection, all directions of travel are deflected to the right in the northern hemisphere and to the left in the southern hemisphere.]
  9. Objects in the northern hemisphere are deflect- ed to the right, while those in the southern hemisphere deflect to the left.
  10. The streaks form a curved path.
  11. The streaks are curved because there is a Coriolis effect on Mars.
  12. Yes; for there to be a Coriolis effect on Mars, the planet must rotate.
  13. The wind blew from the north.
  14. The wind is being deflected to the left.
  15. Deflection to the left indicates we are looking at the southern hemisphere of Mars. *16. The Coriolis “force” is an imaginary force because objects affected by it are really follow- ing a straight path. It is an apparent deflection we see from the vantage point (frame of refer- ence) of the rotating Earth.

Answer Key

Exercise Seven: Coriolis Effect

90

Activities in Planetary Geology for the Physical and Earth Sciences EG-1998-03-109-HQ

Exercise Seven: Coriolis Effect

  1. If you were in an airplane that takes off from Miami, Florida and is flying to Toronto, Canada, would your plane be deflected to the left or to the right as it flew?

Now spin the turntable clockwise. This is the direction that the Earth turns (or rotates), when viewed from the south pole. The turntable is modeling the southern hemisphere of the Earth. Draw a straight line across the turntable using a different colored marker, while spinning it at a constant speed. Be sure to watch that your marker follows a straight path! Label the beginning of the line you drew with an arrow pointing in the direc- tion the marker moved. Note that the line you drew is again a curve.

  1. With the starting point of the line directly in front of you, in which direction was line deflected? (Which way does the arrow point—right or left?)
  2. Which direction does the line curve (clockwise or counterclockwise)?
  3. If you were in a cruise ship that set sail from Cape Town, South Africa and was sailing for Rio de Janeiro, Brazil, would your ship be deflected to the left or to the right as it traveled?
  4. What is the difference between the way objects move over the Earth in the northern hemisphere com- pared with those in the southern hemisphere?

Examine Figure 7.1, which shows part of Mars. The bright streaks associated with some craters can be used as wind direction indicators. They are deposits of dust that can form downwind from craters.

  1. Does the group of streaks form a straight or a curved path (as a whole group)?
  2. What does the shape of the wind streaks indicate about the existence of a Coriolis effect on Mars?
  3. Does Mars rotate? How do you know?
  4. From which way did the wind blow to make the streaks in Figure 7.1?
  5. Imagine you are on the part of Mars shown in this figure, standing with the wind to your back. Which way is the wind being deflected, to your left or your right?
  6. If Mars rotates in the same direction as the Earth (from west to east), is this a picture of the northern or south- ern hemisphere of Mars?

Optional Question

*16. Why is the Coriolis “force,” which causes objects to deflect from a straight path on a rotating planet, some- times called an imaginary force?

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EG-1998-03-109-HQ Activities in Planetary Geology for the Physical and Earth Sciences

Exercise Seven: Coriolis Effect

Figure 7.1. Centered at 20˚, 250˚W, this mosaic is of a region on Mars called Hesperia Planum, site of much aeolian (wind) activity. Note the bright streaks associated with some of the craters; they can be used as wind direction indicators. North is to the top. Viking Orbiter mosaic 211-5478.

100 km

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