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. M

    Underwater projectile affected by Coriolis Effect

    If I am trying to fire a torpedo at another vehicle underwater do I need to worry about the Coriolis Effect? The speeds that torpedoes travel at are approximately 20 m/s and have a maximum range of around 10km.
  2. B

    Circular Motion Due to Coriolis Force

    Homework Statement A particle has velocity v on a smooth horizontal plane. Show that the particle will move in a circle due to the rotation of the Earth and find the radius of the circle. (Ignore all fictitious forces except the Coriolis force.) Homework Equations Coriolis force, given by...
  3. A

    Exploring the Coriolis Force: Throwing a Ball Inwards on a Merry-Go-Round

    Imagine I stand on a merry-go-round and throw a ball inwards towards the center. The path will make a curve due to the coriolis force. I want to know what explains this. If the ball is thrown inwards, the velocity of the disk gets slower and slower the lower radius as seen from our frame of...
  4. Z

    Why Do We Include Coriolis Acceleration in Motion Equations?

    Let aS denote the acceleration of an object as measured in a reference frame S that accelerates relative to another reference frame with an acceleration aI. We then have that the absolute acceleration of the object as measured in an inertial frame of reference is given by: a = aS + aI + aC...
  5. M

    Coriolis Effect - Vertical Shot, solution through integration?

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  6. I

    Coriolis acceleration right hand rule? ?

    Can somebody please explain ( properly)with examples , how the right hand rule describes the direction of coriolis acceleration? please!
  7. B

    Coriolis Force Direction with Rotating Ball and Velocities

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  8. C

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    Homework Statement On its way to Paris the Eurostar train is traveling due South at 300 km/h at a point with latitude 49°. Assume the Earth is a perfect sphere of radius, RE, that rotates around its axis (North/South pole) once every 23 hrs 56 min. (a) Calculate the magnitude of the...
  9. N

    Coriolis forces: finding the coriolis acceleration and applying it to a situation

    Homework Statement An airplane is flying due east along the 30 degree north latitude circle at 800 km/hr. Determine the magnitude and direction of the Coriolis acceleration acting on it. If the Coriolis acceleration is not compensated for, how far off course will the airplane be after one...
  10. A

    Calculating Flow Rate & Pressure for Coriolis Mass Flow Meter

    Homework Statement I have a Coriolis mass flow meter and I'm supposed to run water through it at different flow rates. I have a motor / pump which is controlled by AC drive (which is controlled by potentiometer). Also, I have a pressure transducer mounted at the input side of Coriolis mass flow...
  11. M

    Coriolis Effect On A Projectile

    Homework Statement If you fire a projectile eastwards and upwards with a speed u=(uo,0,wo) at latitude theta, where will it land? You can neglect air resistance and (in the vertical momentum equation) the effects of rotation relative to a constant g. Sketch the solution(s). Find the landing...
  12. S

    The Tangential Coriolis Force

    Homework Statement Hello all, I was hoping to get some help on this difficult question I encountered. Thanks in advance. Cheers. "Imagine you are taking a ride on a horizontally spinning carousel. Suppose that at a certain moment, you are moving with linear speed \vec{v} and...
  13. M

    Classical Mechanics - Coriolis Force

    Homework Statement This is a fairly general problem that came up while trying to model a system. Given a rotating disk and an inertially fixed object, how is the fictional coriolis force handled? For example, if there is a dot on the ground below a sheet of transparent plastic rotating at...
  14. O

    Is the movement of winds due to coriolis or centripetal force?

    Is the movement of winds due to coriolis or centripetal force? Or is there no way to tell, like for example for tidal forces, there is no way to tell wether they are caused by centripetal forces or gravity. (At least that is how I have understood the problem.) Earth is like a huge turntable...
  15. S

    Verify Coriolis Acceleration Derivation on Merry Go Round

    I have a derivation for the coriolis acceleration on a "merry go round" that my instructor gave in class, i was wondering if someone could tell me if this is correct or offer the correct final equation. Additional information: this is from the rotating point of view on the merry go round...
  16. K

    Coriolis effect on a river flowing north-east?

    Homework Statement Consider a river of width 1000 m flowing 30 degrees east of north with a speed of 10m/s at latitude 50 degrees north. The river bottom is flat. On which side of the river is the water deeper and by how much?Homework Equations the only correction i need to use is -2m(omega...
  17. Telemachus

    Calculating the Distance of a Projectile's Movement via Coriolis Effect

    Hi there. I'm having some trouble to determine the distance determined by the Coriolis effect over a projectile. Let's suppose the projectile is fired from the north pole over the noth-south direction, with enough speed to get to the equator. How do I determine the distance that the projectile...
  18. G

    INS : Gyroscope errors : transport wander, apparent drift , coriolis effect ?

    can anyone please explain me following errors of gyroscopes used in inertial navigation systems of aircraft : a) what is transport wander , how actually it happens ? b) what is apparent drift in gyroscope ? c) what is coriolis effect and how it causes errors in gyroscopes ?
  19. P

    Coriolis acceleration and magnitude question

    Q. An aeroplane flies at constant altitude due south over London. Its speed is 320 km/h and the latitude of London is 51 degrees North. What is the magnitude and direction of the Coriolis acceleration on the aeroplane? Do I use Coriolis acceleration = 2ω x v to find acc? Is ω = 2π /...
  20. T

    Coriolis explanation for cyclones and anticyclones

    This relates to a long standing confusion I have had about the Coriolis explanation for cyclones and anticyclones... The usual 'turntable' demonstration of the Coriolis 'force' is very intuitive. The demonstration relies on the ball/pen/pendulum not having any friction with the turntable and...
  21. A

    Coriolis Force on a Rotating and Inclined Plane

    Homework Statement I'm having a lot of trouble figuring this one out: I attached a figure which shows what's going on, for clarification. Homework Equations The relation between absolute and relative velocities is as follows: U = u - OMEGA*y V = v + OMEGA*x where U and V are...
  22. F

    Help me overcome my coriolis confusion (probably silly)

    So assume you have disk in space with a ball on it, the disk rotates and the ball flies off in a in a spiral (viewed from the disk). Thing is if we are in a space with no other matter, then who is to say what the non-moving frame of reference is. I could therefore say the disk is a my reference...
  23. F

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  24. A

    Classical Mechanics: Fictitious Forces: Centrifugal, Coriolis, Transverse, etc.

    Homework Statement Figure is attached. In an amusement park ride called the hammer a large beam rotates in a ver- tical plane about a central pivot (see figure). Cages are attached to the end of the beam; these rotate independently. The riders are strapped to the walls of the cages. The...
  25. J

    Displacement caused by Coriolis effect -

    http://img121.imageshack.us/img121/6590/mwsnap001.jpg The image above shows the question I'm stuck on. I've done the first part and got the force per unit mass to be -2wV'cos\lambda But I have no idea how to get the equation for the eastward displacement due to the Coreolis. Any...
  26. T

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  27. T

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  28. G

    Optical Detection of Earth's Coriolis Force?

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  29. R

    Coriolis Acceleration and Inertial Frame

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  30. P

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  31. Q

    How Does the Coriolis Effect Influence Object Displacement at 31.3°S?

    Homework Statement An object is dropped from rest at height H = 40m above the ground at latitude 31.3^{o}S. Calculate the final displacement, in magnitude and direction, due to the Coriolis effect. Homework Equations \Omega = \omega \left( \begin{array}{cc} 0\\ \cos{\varphi}\\...
  32. A

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  33. B

    Exploring the Coriolis Effect: Constant Velocity Circular Motion

    Hi, everyone We were told in class that the Coriolis Effect is due to the change in the radius in circular motion. But an objtct moving with constant velocity on the edje of the circular system, like on the equator still experiencing Coriolis force, because the cross product 2wXv is not...
  34. Amith2006

    What is the Coriolis force at the equator?

    I was going through the concepts of Coriolis force but got stuck at the point that the Coriolis force is zero at the equator. Consider a person moving along the equator with a velocity v. Mathematically, Coriolis force= -2m(w x v) In this case though the latitude is zero...
  35. O

    Coriolis Force on a Rotating Rifle Barrel

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  36. V

    How does the coriolis effect contribute to the precession of gyroscopes?

    How does the coriolis effect have role in the precession of gyroscopes?http://en.wikipedia.org/wiki/Precession" In the torque-induced precession section, it says masses move due to the coriolis effect, but it happens only in rotating frames. I would want an explanation on why a torque...
  37. S

    Coriolis effect - time to ground

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  38. Y

    Coriolis from our orbit around the Sun

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  39. N

    Coriolis effect, a girl on holding a ball on a carousel

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  40. W

    Coriolis and different refererence frames

    Hello, I am stuck on the coriolis force. If an object is dropped how do I get the eastward deflection when looking from an inertial frame? I know how from the rotating frame but for some reason I am stuck, i.e. what terms to use. Also, if I throw a ball straight up from Earth what is the...
  41. daniel_i_l

    Why Does Coriolis Force Deflect Freely Falling Rocks?

    My mechanics book says that if a rock falls freely to Earth from a certain height than it will be deflected slightly to the east due to the Coriolis force. But I don't understand why. Consider the following Wikipedia picture: If we imagine that we're looking at the nothern hemisphere from...
  42. M

    Coriolis forse and cylindrical co-ordinates

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  43. A

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    With my fairly sketchy knowledge of relativity, one of the basic assumptions is that you can't tell who's point of view is right, with regards to how thing are moving. But, in the case of rotation, isn't it possible to tell if you are rotating by observing the coriolis effect? For instance...
  44. A

    What is the proof behind the Coriolis force formula?

    When I studied "Earth Science" , I found a formula of Coriolis Force which is -2m\vec{}\omegax\vec{}v I am wondering how the formula is proven? I need a careful proof and diagram THX!
  45. H

    Discussing the Coriolis Force & a Projectile's Missed Target

    Hi guys, there is a problem I am having hard time interpreting, so I wonder if you can share your thoughs. Here it is. Homework Statement a projectile is launched due north from a point in colatitude /theta at angle pi/4 to the horizontal and aimed at target whose distance is y (small compared...
  46. J

    How Does the Coriolis Effect Influence Water Drainage in a Sink?

    Homework Statement Its a 3 part question but i think I already got the first 2 parts. The first part was asking us to find the angular velocity of the spinning earth. The second part was asking us to estimate the velocity of water moving horizontally in a sink as it drains. Using that we...
  47. C

    Coriolis Effect on Water in a Sink

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  48. J

    Coriolis and Foucault Pendulum

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  49. F

    Exploring Coriolis vs Centripetal Acceleration

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  50. tiny-tim

    How important Coriolis force is

    Prompted by D H's post on inertial forces … … I've just read the fascinating wikipedia article on http://en.wikipedia.org/wiki/Fictitious_force" . I hadn't previously understood how important Coriolis force is, even over small distances. :redface: Coriolis force is (minus mass times)...
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