Questions tagged [coriolis-effect]

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What is the relative importance of the Coriolis term to the precession term in frame dragging by rotating Kerr black holes?

The Wikipedia entry for Thirring precession describes the Coriolis term as separate from the precession term. Is it fair to say that when looking at the dynamics of a rotating black hole, the ...
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Pseudo force and Potential energy

The pseudo force equation is $$\vec F_p=-2\,m\,(\vec \omega\times \vec v)-m\,(\vec\omega\times (\vec\omega\times \vec R))$$ where $~\vec v=\dot{\vec{R}}$ and $~\vec\omega=\text{const.}$ the pseudo ...
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Can a pendulum at resting equilibrium position still demonstrate the Earth's rotation?

I conducted an experiment in my youth, creating a 'sand pendulum' hanging from the bedroom ceiling to a bowl of flour. I did not set the pendulum into motion, but rather wanted to see if the force of ...
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The 3 apparent forces of the rotating frame in Quantum Mechanics

I was wondering how to derive the 3 typical "fictitious" forces that arise in a rotating frame. Their derivation in classical mechanics is clear to me, but not in quantum mechanics. ...
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Precession of a flywheel on earth

I’m currently working on a mechanical problem and I’ve got a couple of questions. First, let me describe the problem. We’ve got a flywheel somewhere on the surface of the earth spinning merrily. It is ...
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Electric currents due to the Coriolis force?

In the Compton generator experiment one uses a hollow glass tube filled with water. When this is flipped over, the water gains a small velocity of the order of 0.1 mm/s for a 1 m radius tube, due to ...
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Why is the propulsive force related Coriolis term ignored in flight dynamics (rocket equation)?

Consider a variable mass vehicle body $B$ with it's center of mass $B$ stationary with respect to the body fixed referenced frame $B$. We obtain the translational dynamics of the variable mass body as ...
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Does Coriolis effect change the direction of an object moving parallel to equator, say along the tropic of Cancer?

It is usually said that the Coriolis force deflects a horizontally moving object to its right in the northern hemisphere and to the left in the southern hemisphere, and an object at the equator will ...
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Calculate height of a projectile in rotating spaceship reference frame

In a rotating reference frame, or in a rotating spaceship, the apparent gravity felt by an object is the centrifugal force. Any moving object also experiences a Coriolis force. When I want to do ...
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Does the Coriolis force act on all objects?

Would, for example, a train traveling from south to north experience this force? If so, why? I would think it does not, since it is in contact with the Earth, so it does not experience the difference ...
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Circular Winds and Coriolis force

In northern hemisphere the flow of air is shown which tries to move towards low pressure center but due to Coriolis is deflected as shown. It's said that this causes a circular anticlockwise flow of ...
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Would Foucault's pendulum work on the moon?

I am taking a course in introductory general relativity and came up on this question, which a google search didn't answer. The rotation of the Earth can be measured using a Foucault pendulum. The moon ...
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If I'm moving with velocity $v$, on something that is accelerating perpendicular to $v$, do I feel or detect a “Coriolis force”?

Can I detect a coriolis force? Or does coriolis force only apply to rotating accelerations? Do I feel something analogous to a coriolis force? It seems I must. Because on a small patch of the planet ...
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Why does Coriolis point this way intuitively?

The Coriolis force points as is shown. I understand it mathematically. I want an intuitive picture how it's true Say I'm in the rotating frame of the earth and I look at the particle in the northern ...
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Why only one pseudo force for a revolving frame?

Pg 348, Kleppner and Kolenkow. Earth in a free fall towards sun is shown. Authors write The earth accelerates toward the sun at rate $\mathrm{A}=\mathrm{G}_{0}$ ... The apparent force to an ...
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What if there's no friction In the Ball on a rotating disc problem?

In the rotating frame of the disc , how does centrifugal and coriolis come into play if there is no friction? The ball is kept at r in rest on the disc. And then the disc is made to rotate. Now from ...
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When does Coriolis and centrifugal force act?

Ok so here is the situation you are on a disc rotating with the same angular velocity at the center so you are in a rotating frame of reference. A block is placed. Case 1: The disc is frictionless. ...
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Does sphere's movement get affected if the frictionless surface below it rotates?

If a sphere has a constant velocity going in a straight line on a frictionless surface that rotates, from an inertial frame of reference, does the ball continue to travel in the same direction and ...
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Confusion in coordinate transformation of acceleration vector

Consider this notation for vectors: $A_{cb}^{d}$ is the $A$ vector (velocity,acceleration, angular velocity or ...) of $b$ coordinate frame w.r.t. $c$ frame presented in $d$ frame axis. I know when we ...
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Planetary vorticity vector calculus

The planetary vorticity is the vorticity due to the rotation of the planet. This should equal the Coriolis parameter. Let $\Omega$ be the angular velocity of the planet ($U_p$ the rotational velocity) ...
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What happens when the centrifugal force and Coriolis force combine?

Imagine someone is walking on a merry-go-round as it spins. Let's say the merry-go-round has a painted circle on it that is concentric with the outer edge of the merry-go-round and the person walking ...
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Running backwards on a carousel

Let's suppose I'm on a carousel rotating with a speed $\omega$ and start running on it in the opposite direction with a speed $v$ such that $\omega r=-v$ where $r$ is the distance between me and the ...
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Foucault pendulum equations of motion

All the sources I see for the equations of motion for the Foucault pendulum start with the small angle approximation. Does anyone know a source or textbook that does the full derivation? ...
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Can rotation be distinguished from frame-dragging?

I am trapped inside the usual elevator and experiencing a comfortable gravitational field of about 1 g. Or perhaps it's an acceleration of 1 g. I cannot tell which. However, I notice when I drop an ...
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The time derivatives of vectors in rotating frames

The image is from Goldstein's book. Here he is saying that the vector in LHS is observed in space frame and the $\frac{d\textbf{G}}{dt}$ in RHS is in body or rotaing frame. By using this he proved the ...
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Equivalence Principle on Earth

I've read that, according to the Equivalence Principle, no experiment can distinguish between uniform acceleration and gravity. If one is in the classically-described elevator with a basin full of ...
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Coriolis force and liquid on a rotating space station?

On a rotating wheel space station crewed by humans with sea-level conditions (temperature above the freezing point), if liquid was spilled on the floor am I correct in understanding that the Coriolis ...
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Application of Coriolis force and centripetal acceleration

Consider a slider capable of sliding on a rod. The rod has a constant angular velocity of $\omega$, and the slider is moving up the rod with a velocity $v$ and acceleration $a$ with respect to the bar....
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How is the spin of hurricanes explained from an inertial frame?

I have read that hurricanes spin because of the Coriolis effect. Since the Coriolis force is a ficticious force, which is only present in a frame that is rotating w.r.t. to an inertial one, I am ...
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Coriolis Force: Direction Perpendicular to Rotation Axis Visualization

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 ...
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Coriolis effect vs preservation of angular momentum on merry-go-round, sniper's bullet, hovering helicopter and high altitude rockets

I understand that how helicopter hovers at the same position or a thrown ball falls to the same position even though earth is spinning. This is due to the preservation of angular momentum and my ...
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General relativity and absolute rotation

Are both centrifugal force and Coriolis force really fully explained by what is called "frame dragging" in GR? And if that is correct, does this concept "frame dragging" solve the ...
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Foucault pendulum and atmosphere

I'm a bit confused with how the foucault pendulum works. EDIT for clarity: The Foucault pendulum shows an effect which is commonly described as follows: the plane of oscillation of the pendulum seems ...
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Can the Coriolis force be entirely neutralized by the Lorentz force?

I have recently hit upon an idea with which I try to make an analogy between the Coriolis force ($\mathbf F = 2m\mathbf v \times \mathbf \Omega,$) and the Lorentz force ($\mathbf F = q\,\mathbf v \...
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Why specifically should a Foucault pendulum be long and massive?

For a pendulum to easily demonstrate the Foucault effect, it should have as long a cable as possible (this one is 52 feet) and a heavy symmetrical bob (this one is hollow brass, weighing about 240 ...
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How to understand pseudo forces in the Lagrangian formalism?

Consider a free particle in a rotating reference frame. Let us say the coordinates of the particle are given by $(x',y')$ in this frame. For an observer on this frame, (I suspect) the Lagrangian is ...
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Can pressure gradient force be balanced by Coriolis force?

I was learning about wind from my class textbook. In that there is first a description of forces affecting the velocity and direction of wind followed by that is geostrophic wind. My question is: At ...
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How to determine a direction of Coriolis force at southern hemisphere

If I take my rotating coordinate system as it's shown in the below picture : Why does using $F=-2mw\frac{\mathrm{d}r}{\mathrm{d}t}$ for a free fall of a particle in the southern hemisphere give me ...
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How does GR treat centrifugal force/acceleration?

We know GR turns gravitation induced acceleration into curvature in spacetime. But in GR, what happens to the acceleration due to the centrifugal force? And similarly, the acceleration due Euler or ...
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Coriolis force, no latitude change

If you move an object without changing its latitude, according to $$ \vec{F}_c=-2m\vec{\omega}\times\vec{v} $$ you could add or substract weight to the object itself, depending on the $\vec{v}$ ...
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SI Units and the Coriolis Parameter

I am trying to solve the following equation numerically $$|u_\text{max}|=\frac{\Delta p}{|f|\rho}\frac{\sqrt{2}}{R}\mathrm e^{-1/2} \tag{1}.$$ Here, $\Delta p=20\ \mathrm{hPa}$, $R=500\ \mathrm{km}$ ...
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Feynman Lectures: 20–3 The gyroscope

In the The Feynman Lectures on Physics, Volume I, Chapter 20, Section 3,The Gyroscope found here, Feynman wrote We note that when the wheel is precessing, the particles that are going around the ...
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Physical meaning of the Coriolis force

Consider the equation $\vec{f}=f\hat{z}$. Here, $f$ denotes the Coriolis parameter $f=2\Omega \sin(\phi)$ and $\hat{z}$ denotes the vertical unit vector. How can we think of $\vec{f}$ physically? I ...
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Factor of 2 error in angular momentum / Coriolis force calculation

The problem An object is dropped from a helicopter, which is at rest relative to the Earth rotating at $\Omega$ at height $h=500\text{ m}$ above the ground at the equator. Without using the Coriolis ...
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Is the time for a complete rotation of the plane of swing of a Foucault pendulum only a function of latitude?

The context is explained in this post: What is the reason for the orbital movement of the Foucault pendulum? But now my question is not about the orbital behaviour of the pendulum. I wonder if the ...
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Can black hole experiences Coriolis effect?

The weather here are thanks to Earth's rotation, so would there be any coriolis effect however tiny occurs when black hole rotates?
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Foucault pendulum coordinate representation

I have a homework question that boils down to showing that plane of oscillation for a Foucault pendulum rotates 2$\pi\cos(\theta)$ in a day, where $\theta$ is the colatitude angle. I have seen an ...
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Physical importance of centrifugal force and Coriolis force in the context of the restricted 3-body problem

In the textbook Galactic Dynamics (Binney and Tremaine), the restricted three-body problem to find the trajectory of a test mass that orbits in the combined gravitational field of two masses $M$ and $...
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Deflection of a Falling Mass at pole

I know that falling objects on the earth are deflected horizontally. But could anyone tell me how can we calculate the deflection of a mass m dropped from a tower of height h at the north pole?
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What is the reason for the orbital movement of the Foucault pendulum?

The Foucault pendulum, now in exhibition at the Paris Pantheon, is 67 meters high, with a period of oscillation about 16 s. Its oscillations last for more than one hour, when an employee manually ...

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