Questions tagged [coriolis-effect]

An effect whereby a mass moving in a rotating system experiences a force (the Coriolis force ) acting perpendicular to the direction of motion and to the axis of rotation.

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Finding angular velocity of a frame given an angular velocity in another frame

I was trying to understand the Earth's frame of reference. You stick a coordinate system on the surface of the Earth and due to the Earth's rotation the coordinate rotates with respect to the axis of ...
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Where does the energy come from to cause Coriolis effect?

I read that the rotation of Earth on it's axis caused the deflection of wind along the equator but the air and the Earth are moving together so where do the energy comes from to produce coriolis ...
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Coriolis Acceleration in Local Cartesian Coordinates

Generally, the coriolis acceleration is given as $-2\vec{\Omega}\times\vec{v}$ Just as $\vec{\Omega}$ or $\vec{v}$, the coriolis acceleration can be rewritten in local cartesian coordinates (edited): $...
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Coriolis force relation to wind velocity

I'm learning coriolis effect on Winds moving from equator towards North pole. This is for geography. Question: Why is coriolis force stronger for winds having larger speed(larger component of ...
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Coriolis effect in the bathroom? [duplicate]

I understand that the Coriolis effect is not responsible for the spin effect in the bathroom, but I have never seen a rigorous math prof of this. Where could I find a proof of this? What references ...
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Does vertical coriolis force affect motions of projectiles?

If an object is projected towards east or west from the equator, we get the coriolis force to be vertical. If this projectile, say, miss its target from below, can this be attributed to the coriolis ...
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Is there a rigorous proof regarding the non-linear stability of the $L_4$ and $L_5$ Lagrange points?

I have found that many proofs regarding the stability of the $L_4$ and $L_5$ Lagrange points are based on linear approximations of the equations of motion near these points. However, from a dynamical ...
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Coriolis acceleration for an orbiting and spinning frame of reference [closed]

I'm currently studying the coriolis effect in my undergrad degree and I can't find anywhere on the internet the solution to this question. Please tell me if I'm right or not: Suppose we have an ...
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Do particles (e.g. atoms/electrons) in large molecules that rotate experience pseudoforces?

Imagine if you have a molecule with a large size, e.g. proteins. Anything that rotates experiences pseudoforces if my understanding is correct (e.g. coriolis, centrifugal etc). Since every molecule ...
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Coriolis Force on jump and descent

Approximating the Earth by a circle with West facing in the theta-hat direction and East in the opposite, when a person jumps up, the Coriolis force faces West according to the right-hand rule. Upon ...
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If object is at rest on a frictionless surface with no air resistance. What is the effect of Earth rotation and orbiting on object?

If object is at rest relative to the Earth's surface on a frictionless surface. What is the effect of Earth rotation and orbiting on an object? Does object rotate and orbit with Earth and stays at ...
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How do the equations of motion of the Foucault pendulum result in the specific law of parallel transport?

I have read that the precession in the plane of oscillation of a Foucault pendulum is equivalent to parallel transport of tangent vectors on a sphere. I am interested in proving this statement using ...
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Where does the centripetal come from, in a cyclone?

It needs a tremendous amount of impulse ($Force\times time$) to keep the large mass of air and water vapor spinning for several days. Where does the sustained force come from? The centripetal force in ...
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The motion of a ball thrown in a rotating frame of reference

Assume, there are 2 people staying next to each other on a rotating disk, s.t. there is a straight line from one to the other going through the center of the disk. One throws a ball to the other. I ...
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Coriolis effect and Cyclones

The Coriolis force predicts that winds in the northern hemisphere should be deflected in a clockwise pattern and winds in the southern hemisphere should be deflected in an anti-clockwise pattern. Why ...
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Why doesn't the Coriolis force deflect incoming projectiles and rockets? [closed]

The calculation shows that at a distance of 10 km, the deviation due to the action of the Coriolis force will be more than 8 m, and at a distance of 20 km already more than 30 m, which is quite ...
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Movement of the Foucault pendulum

If my understanding of the Foucault pendulum is correct, then if I am in the northern hemisphere and if I let the pendulum oscillate in the north-south direction, then as the bob moves towards the ...
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Rotation of the plane of oscillation of the Foucault pendulum

If the plane of oscillation of the Foucault pendulum rotates due to the Coriolis effect, shouldn't the rotation be counterclockwise in the Northern Hemisphere, similar to the rotation of tornadoes? Or ...
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Direction of Coriolis Acceleration

I read in a textbook that the Coriolis acceleration will deflect an eastward-moving object towards the south and north for a westward-moving object. However, when I work out the cross products myself, ...
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Coriolis Force question

Let's say a ball moves in an azimuthal path around a rotating disk. The Coriolis force on the ball is given by $-2m \omega \times v$. My intuition tells me that there would be no Coriolis force ...
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Coriolis effect, angle between beaches [closed]

I'm having some trouble with the following question: A river has width a and floats on the latitude θ on Earth with the speed v. Due to the Coriolis force, the water surface will tilt. How much height ...
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Coriolis force on a person on a carousel

Good afternoon all, I am looking at the question Running backwards on a carousel from 2020 and the accepted answer given below it. Why is there no centripetal force on the person in either reference ...
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Do planets experience coriolis effect in terms of rotation around a star?

We all know from General Relativity theory that movement of objects around, for example, a star actually straight in spacetime continuum. It just time distortion causes the movement to curve. ...
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How did Léon Foucault showcase his Foucault's Pendulum?

When I was thinking of Foucault's pendulum , this question was always bugging me. If we are all rotating with the same speed in one reference frame as the surface of earth with the pendulum , then the ...
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How does the Coriolis effect explain Ekman transport?

Before answering the question, keep in mind that I am a second year Biology student, with no experience in studying Physics and a very basic understanding of Mathematics. Thus, I would prefer a ...
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Is the Ugandan local people's experiment on Coriolis right? [duplicate]

There is a local performance on the equator of Uganda. In the southern hemisphere, which is more than ten meters away from the equator, after pouring a bucket of water, the water in the pool with ...
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Do hurricanes spin?

It is often said that the spin of a hurricane forms as a result of being in a rotating reference frame with the spin caused by the coriolis force. For example, if you’re on a merry-go-round and you ...
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How are quadratic terms of apparent force in a rotating reference frame derived from the usual decomposition into centrifugal and Coriolis terms?

Usually the total acceleration a' seen in a rotating reference frame (like earth) is written down as $$\vec a' = -\vec \omega \times \left(\vec \omega \times \vec r' \right) - 2 \cdot \vec \omega \...
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How is Coriolis acceleration in polar coordinate, different from Coriolis acceleration due to observation in non-inertial frame of reference?

In Kleppner and Kolenkow's book: An Introduction to Mechanics, on page 34 (pasted below) on the topic titled "Acceleration in Polar coordinates", it has been mentioned that: "when $r$ ...
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Why can the coriolis force potential be written as $ E_\text{cor}=m\dot{\theta}\begin{vmatrix} X & Y \\ \dot{X} & \dot{Y} \end{vmatrix}$?

I found the following formula for the Coriolis force written here: $$ E_\text{cor}=m\dot{\theta}\begin{vmatrix} X & Y \\ \dot{X} & \dot{Y} \end{vmatrix}=m\dot{\theta}\ (\dot{Y}X-\dot{X}Y)$$ I ...
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Does there exist a Coriolis potential, just like there is a Centrifugal potential? [duplicate]

While dealing with central force there is a known result: $$U_\text{eff}(r)=\frac{L^2}{2m r^2}+ U(r) \, $$ If I understand correctly the centrifugal potential term $l^2/(2\mu r^2)$ arises when you ...
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Newton-Euler formulation

How to find the translational and rotational equations of motion when the center of gravity does not coincide with the origin of the fixed-body rotating frame?
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Does the Coriolis force apply to an object moving weightlessly in a tunnel around the center of Earth?

I just want to be sure I understand correctly. They ask us to find the speed at which an object moves weightlessly in a tunnel around the center of the Earth. Assume Earth is homogeneous, and the part ...
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Applied Example of Coriolis Force/ Effect for an Object Moving around Earth

There are very few examples on the Internet about how to calculate the Coriolis Force of an object moving around Earth. Could you give me your feedback about how I proceeded ? The Coriolis Force is ...
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How to calculate the Coriolis Force/Effect of an object moving West or East ALONG the Equator

This is NOT a homework question, there are few informations that I found on the Internet about this specific case of the Coriolis Force We currently are dealing with the Coriolis Force, and I struggle ...
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Coriolis force effect on freely falling body

If an object is let to fall freely from a tower of 100 meters, then it will get deflected towards East. Now clarify that if an object is allowed to fall freely from a rocket at 100 meters height. Does ...
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Projectile motion as realistic as possible (at least computationally)

I want to know how would one set up the equation of motion of a projectile, that takes the most effects into account as possible (such as air resistance, lift, the projectile's extension, Earth's ...
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Projectile acceleration with quadratic drag and coriolis force [closed]

I'm wondering if this equations for the acceleration of a projectile in the x, y and z directions are correct, if we take into account the square law of resistance and the Coriolis force. The ...
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Inertial accelerations like the Coriolis effect are well known. Are there also 'inertial jerks' and what are some examples?

Inertial accelerations like the Coriolis effect are well known. Are there also 'inertial jerks' and what are some examples? My guess would be that it would look something like: $$ j=-3v_r \omega^2 e_r ...
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A question for expert in geometrical method and Riemannian metrics

I'm a physical oceanographer with great interest in Theoretical Geophysical Fluid Dynamics. I have some ideas on the possibility to derive the so-called: geostrophic equilibrium (i.e. on a rotating ...
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Is this a rigorous derivation of Coriolis effect? It seems pretty simple

Coriolis effect is usually derived in a long twice differentiated equation of motion between a lab frame and rotated frame. Afterwards you group together all the terms and you get all the fictitious ...
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Coriolis effect on the nucleus?

Would there be a coriolis effect on the (surface) of the nucleus? Since the nucleus can be approximated as a 'liquid drop' which rotates.
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Coriolis force on surface of neutron star?

Since neutron stars are extremely rapidly rotating, would there be an interesting effect of the coriolis force on the surface?
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Coriolis effect when walking along equator

Okey, I'm thinking about a problem like this: Suppose we walk along the equator, let's choose the east directon (for example). Let our walking speed be $v$, then from the coordinate system that ...
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Rotational frames and Coriolis deviation

I have a question regarding a problem that is the deviation of an object due to the rotation of the earth ( cause by pseudoforces ). I've seen this video on youtube https://www.youtube.com/watch?v=...
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Could we measure fictitious forces arising from rotation about an axis in a fourth spatial dimension?

Two-dimensional creatures confined to a flat sheet that was uniformly rotating around an axis perpendicular to the sheet would have no trouble identifying that their sheet was rotating. They would be ...
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Finding latitude of landing of projectile in Rotating Earth

Assuming that the Earth is a uniform sphere of radius $R$, rotating about its axis with a uniform angular velocity $\omega$. A rocket is launched from the Equator in a direction due North. If it keeps ...
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Negative sign on Coriolis acceleration not necessary?

Why is the Coriolis acceleration often written as $-2({\bf \Omega \times v})$, (for example Wikipedia)? Why is it not written $2({\bf v \times \Omega)}$ which means the negative sign is not needed? ...
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How would a game of (American) football work on a space station generating artificial gravity by using spin? [closed]

Using rotation to generate artificial gravity is pretty common in sci-fi. I know the TV show "The Expanse" features it on the Mormon's vessel. I also remember a small-scale rotating space ...
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Can this phenomenon be explained in ground frame?

Suppose there is a disc which is rotating about its centre with constant angular velocity, the surface of disc is rough and there is a small block at some distance away from centre (at rest initially),...
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