What is Coriolis: Definition and 177 Discussions

In physics, the Coriolis force is an inertial or fictitious force that acts on objects that are in motion within a frame of reference that rotates with respect to an inertial frame. In a reference frame with clockwise rotation, the force acts to the left of the motion of the object. In one with anticlockwise (or counterclockwise) rotation, the force acts to the right. Deflection of an object due to the Coriolis force is called the Coriolis effect. Though recognized previously by others, the mathematical expression for the Coriolis force appeared in an 1835 paper by French scientist Gaspard-Gustave de Coriolis, in connection with the theory of water wheels. Early in the 20th century, the term Coriolis force began to be used in connection with meteorology.
Newton's laws of motion describe the motion of an object in an inertial (non-accelerating) frame of reference. When Newton's laws are transformed to a rotating frame of reference, the Coriolis and centrifugal accelerations appear. When applied to massive objects, the respective forces are proportional to the masses of them. The Coriolis force is proportional to the rotation rate and the centrifugal force is proportional to the square of the rotation rate. The Coriolis force acts in a direction perpendicular to the rotation axis and to the velocity of the body in the rotating frame and is proportional to the object's speed in the rotating frame (more precisely, to the component of its velocity that is perpendicular to the axis of rotation). The centrifugal force acts outwards in the radial direction and is proportional to the distance of the body from the axis of the rotating frame. These additional forces are termed inertial forces, fictitious forces or pseudo forces. By accounting for the rotation by addition of these fictitious forces, Newton's laws of motion can be applied to a rotating system as though it was an inertial system. They are correction factors which are not required in a non-rotating system.In popular (non-technical) usage of the term "Coriolis effect", the rotating reference frame implied is almost always the Earth. Because the Earth spins, Earth-bound observers need to account for the Coriolis force to correctly analyze the motion of objects. The Earth completes one rotation for each day/night cycle, so for motions of everyday objects the Coriolis force is usually quite small compared with other forces; its effects generally become noticeable only for motions occurring over large distances and long periods of time, such as large-scale movement of air in the atmosphere or water in the ocean; or where high precision is important, such as long-range artillery or missile trajectories. Such motions are constrained by the surface of the Earth, so only the horizontal component of the Coriolis force is generally important. This force causes moving objects on the surface of the Earth to be deflected to the right (with respect to the direction of travel) in the Northern Hemisphere and to the left in the Southern Hemisphere. The horizontal deflection effect is greater near the poles, since the effective rotation rate about a local vertical axis is largest there, and decreases to zero at the equator. Rather than flowing directly from areas of high pressure to low pressure, as they would in a non-rotating system, winds and currents tend to flow to the right of this direction north of the equator (anticlockwise) and to the left of this direction south of it (clockwise). This effect is responsible for the rotation and thus formation of cyclones (see Coriolis effects in meteorology).
For an intuitive explanation of the origin of the Coriolis force, consider an object, constrained to follow the Earth's surface and moving northward in the northern hemisphere. Viewed from outer space, the object does not appear to go due north, but has an eastward motion (it rotates around toward the right along with the surface of the Earth). The further north it travels, the smaller the "diameter of its parallel" (the minimum distance from the surface point to the axis of rotation, which is in a plane orthogonal to the axis), and so the slower the eastward motion of its surface. As the object moves north, to higher latitudes, it has a tendency to maintain the eastward speed it started with (rather than slowing down to match the reduced eastward speed of local objects on the Earth's surface), so it veers east (i.e. to the right of its initial motion).Though not obvious from this example, which considers northward motion, the horizontal deflection occurs equally for objects moving eastward or westward (or in any other direction). However, the theory that the effect determines the rotation of draining water in a typical size household bathtub, sink or toilet has been repeatedly disproven by modern-day scientists; the force is negligibly small compared to the many other influences on the rotation.

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  1. C

    If k, m, and w are known, then r can be calculated.

    The following problem is take from Thorton and Marion's Classical Dynamics, 5th edition, p. 408, chapter 10, problem 3. Given A puck of mass m on a merry-go-round (a flat rotating disk) has constant angular velocity \omega and coefficient of static friction between the puck and the disk of...
  2. T

    Is the Galactic Coriolis Effect Debunked or Proven?

    I was wondering if anyone could debunk or prove the theory of a Galactic Coriolis effect. That is, that stars and planets rotate one way in one hemisphere of the galaxy, and rotate in the opposite direction in the other hemisphere, similar to how the swirling of water is affected in the...
  3. Loren Booda

    Has the Coriolis force affected tectonics?

    Has the Coriolis force affected continental drift (or the flow of Earth's interior) significantly over the history of the Earth? If so, how might the shape of continents today demonstrate this?
  4. M

    How Does the Coriolis Force Affect a Puck's Motion on Earth?

    Show that the Coriolis force makes the puck move in a circle as seen in Earth's rotating frame I need help setting this up! Homework Equations -2m\varpix v The Attempt at a Solution So far i have a drawing The Earth on an xyz axis, z up, y across, and x in an out of paper. the puck is on...
  5. E

    Why Coriolis Acceleration Matters for Vertical Projection

    Homework Statement If you project a particle vertically upward, and you neglect everything except gravity and the Coriolis acceleration, my book says that it will not land on the point where you projected it. Why does this make any sense since the Coriolis force should be antisymmetric on the...
  6. K

    How Does the Coriolis Force Affect a Northbound Plane's Flight Path?

    Homework Statement A plane with a fully laden mass of 500 tonnes is flying due north at a steady speed of 1000kmh^-1 and is located at a latitude of 51 degrees north at a specific time. What force in an east-west direction is required to keep the plane on course along a fixed line of...
  7. K

    How Does the Coriolis Effect Influence River Water Levels at Different Banks?

    Homework Statement A river of width D flows Northward with speed v. Show that the water is lower at the west bank than at the east bank by approximately 2Dwvsinlamda/g where w is the angular velocity of the Earth and lamda the latitude. Homework Equations The Attempt at a...
  8. daniel_i_l

    Does the Coriolis Force Affect Tea Leaf Movement in a Stirred Cup?

    When you stir a cup of tea with leaves at the bottom then when you stop stirring the leaves go to the center. I always thought that the cause was the centrifugal force and since the leaves where lighter than the water the water was pushed out and the leaves sucked in. But I just read in SA...
  9. belliott4488

    Does Coriolis really cause water to drain one way?

    We've all heard that water spirals down the drain in a clockwise direction in the Southern hemisphere and counter- (or anti-) clockwise in the Northern hemisphere, due to the Coriolis effect from the rotation of the Earth. I've also heard that this is a myth, and that if you calculate the...
  10. L

    Coriolis Effect on Projectiles

    I've been searching all over the web and on this forum for an answer, and I haven't found it (or I may have found it and not understood...). If this is a re-hash, I'm sorry... I'm working on some ballistics calulations for long range rifle shots. I've got pretty much everything worked out...
  11. S

    Harmonic Motion and The Coriolis Effect

    I think that this is the proper place for this, but move it if I'm wrong. I'm conducting a physics project that has to do with what I think is the coriolis effect and simple harmonic motion. If a free swinging pendulum is let swing from a point over a level sand pit, as it swings, it will...
  12. D

    Coriolis force effect on skydivers?

    Galileo observed that objects dropped from height hit ground to the east of a plumb bob. I guess this is due to the Coriolis force. How would this distance be calculated for something like a baseball off the Empire State Building or a skydiver?
  13. C

    Understanding Coriolis Force Dependency on Latitude

    I need some help,... On the surface of the Earth a cartesian coordinate system _E will be installed at the latitude ϕ. The axes of the coordinate system are aligned as following: _x1-axis: points up _x2-axis: points north _x3-axis: points east The underscores in front of the variables...
  14. B

    Calculating Coriolis Force: Radius & Magnitude

    1) what is the radius of the circle as a function of V for the coriolis force? --- is it R = (1/F)(- 2 m V^2)...am I missing something here please help... 2) Evaluate this radius for object on surface of the Earth at 33 degree north moving at 5 mph. and find the magnitude of Coriolis force...
  15. B

    Coriolis forces, rotating coordinate systems

    I know that some people worship Symon's Mechanics 3rd Ed., but I find this book incredibly confusing...especially chapter 7, dealing with rotating coordinate systems. I follow the math, and perhaps the logic, but I can't even find a way to start the homework problems. The guy doesn't give any...
  16. A

    Coriolis force canceling out gravity

    Arne wants to move in Leuven (54°N) with such a high speed that the vertical component of the Coriolis force cancels out the gravitational force. In which direction should he move to keep his speed as small as possible? How big is this speed? How big is the horizontal component of the Coriolis...
  17. R

    Understanding the Coriolis Effect: Paris Gun Shells and Deviation Measurements

    According to Wikipedia, the shells of the Paris Gun fired over 120 km landed "1,343 meters (4,406 ft) to the right of where it would have hit if there were no Coriolis effect"... Is it then correct to say that it would have deviated by 134.3 metres over 12 km, and 13.43 metres over 1.2 km etc...
  18. M

    Projection with coriolis force

    hi, i read lots of book regarding fictitious force - coriolis and centrifugal forces, but i am not clear how to determine the direction of the force.. example. if we throw a ball vertical up , how we can know the deviation from the original position ( from book we know that if the ball...
  19. D

    GR & Coriolis Forces: Inertial Trajectories & Resources

    How does GR account for coriolis forces on a solid spherically symmetric body in a frame of reference where the solidy body rotation has been eliminated? Are these trajectories inertial, as in if a free falling object has an initial velocity along the angle between the plane of rotation and...
  20. quasar987

    Calculating Coriolis Force for Projectile on Rotating Earth

    I have this assignement (due tomorrow by the way) where I must compare the range of a projectile on the non-rotating Earth with the range of the projectile on the rotating earth. The question reads: I asked the teacher and he said that the range is rather small, so we can consider the Earth...
  21. D

    General problems with coriolis force

    Ok I'm having some general problems with solving Coriolis problems. So the general way of writing up the Coriolis force is F_c = -2*m*(\vec{\omega} \times \vec{v}) But most questions i get about the Coriolis force involve some information about it's latitude position on earth, but i...
  22. Reshma

    Understanding the Coriolis Force and its Real-World Applications

    What is Coriolis Force & what are its applications?
  23. N

    Why Coriolis Force Impacts Wind Direction, Not Speed

    why doesn't Coriolis force affect the wind speed but only the wind direction?
  24. E

    Coriolis Effect on Fast Projectile

    A projectile is fired nearly horizontally at high velocity v_0 toward the east. (a) In what direction is it deflected by the Coriolis effect? (b) Determine a formula for the deflection is terms of v_0, the angular velocity \omega of the earth, the latitude \lambda where the projectile is fired...
  25. S

    Coriolis effect - polarised gravity?

    Hi all. Please excuse my tendency to over generalise There is some theorising going on and certain evidence to suggest that gravity may actually be polarized. Some scientists are looking at our weather patterns for instance and the well known Coriolis effect. Some now suggest that gravity is...
  26. C

    Conservation of angular momentum in coriolis generated tornado funnel

    After careful observation of tornado funnels and coriolis generated water funnels of draining sinks the increasing angular velocities of the water with reduced radii is greater than allowed for by the law of conservation of angular momentum. Could someone shed some light on this situation...
  27. J

    Coriolis effect and water spin

    If the coriolis effect does not determine the direction in which water drains down a plug hole in different parts of the world then is it totaly random which way the water spins.
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