Questions tagged [coriolis-effect]

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Doubt on the difference between a rotational coordinate system and spherical coordinate system and the calculation of the Christoffel sysmbols

I know basic differential geometry for general Relativity and classical mechanics. But an interesting fact was revealed in my calculations, namely, that I discovered that I didn't realize the ...
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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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Deflection of missile due to Coriolis force

Suppose we launch a rocket from the Equator in a direction due North. If it keeps on flying at a uniform speed, what will be highest latitude that it can achieve? This is a question which I saw ...
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Baseball In an O'Neil Cylinder

I am trying to understand the physics of a baseball game in a rotating spacecraft such as the O'Neil cylinder seen in the movie Interstellar. Imagine a cylindrical spacecraft of radius $R$ rotating ...
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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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What are the effects of centrifugal and Coriolis forces on an object moving in a rotating reference frame?

In a rotating reference frame, we usually come across the following two pseudo forces: Centrifugal force: $f_\mathscr{centrifugal}=-m\omega\times\omega\times r$ Coriolis force: $f_\mathscr{coriolis}=...
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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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1answer
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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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Having some trouble with acceleration in polar coordinates

So, I solved a question about acceleration in polar coordinates, but most people in my class (Classical Physics, first year at university studying Physics) disagree with my answer. So the question is ...
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Confused about the origin of the Coriolis effect when moving along the equator

I'm taking an introductory course on meteorology and in the lecture notes there is an explanation of the Coriolis effect that confuses me. The components of a wind field are u, v and w: $\vec{U} = u \...
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What's the relationship between velocity components in the Coriolis effect

I still haven't understood why Coriolis parameter in $(x,y,z)$ plane has its velocity components described as follows: $$\frac{du}{dt} = f\cdot v$$ and $$\frac{dv}{dt} = -f\cdot u$$ Why does the ...
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Why do I get a non-zero Coriolis acceleration for a reference frame that moves in a straight line without rotating?

When you have a stationary reference frame $\{O', (\pmb{e}'_1, \pmb{e}'_2, \pmb{e}'_3)\}$ and a moving reference frame $\{O, (\pmb{e}_1, \pmb{e}_2, \pmb{e}_3)\}$, my textbook defines the Coriolis ...
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What does the term “Coriolis Effect” refer to?

I am familiar with Coriolis Effect referring to the effect that deflects eastward a projectile moving north on the rotating Earth. That is, as something applicable to north/south motion only. There ...
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Potential for a general fictitious force?

In a general non inertial system four fictitious forces arise: Coriolis Force, centrifugal Force, azimuthal Force, "translational" Force (due to linear acceleration of the origin of the system) I ...
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Coriolis force versus other effects that deflect an objects falling on earth from its vertical path

I am studying accelerating reference frames and I have solved the famous problem of finding how the Coriolis force deflects the trajectory of a falling object on Earth, the answer being $$ x_{east} = ...
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On the Coriolis effect and weather

I learned in classical mechanics that the Coriolis Effect curves everything with speed to the right in the northern hemisphere and to the left in the southern hemisphere, my question is then why ...
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1answer
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Derivation of Coriolis acceleration before vectors got into use

The Coriolis acceleration is known for ages, much before vectors started to be used. Even at the time when Gustave Coriolis was working, vectors were not well established as they are today. Nowadays, ...
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What causes the Sagnac effect?

Wikipedia explains the Sagnac effect as a result of the rotating disk, which moves the target so that one of the light beams has farther to travel and consequently, will arrive later than the other ...
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How much do ocean currents alone slow Earth's rotation?

Tidal friction is commonly spoken of as the reason for the slowing of Earth's rotation. What if the moon didn't exist? We would still have ocean currents and wind due to the Coriolis effect and the ...
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What will be trajectory of a free falling rotating fan?

Consider a situation, where a fan is rotating in full swing. Suddenly, the contact between ceiling and fan bearing is broken. What will be trajectory of fan if it falls under the infulence of ...
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Does the atmosphere rotate slightly slower than the earth surface?

I often hear the vague explanation that the Coriolis Effect is why air rotates into pressure systems. That doesn't explain it for me though. Is pressure gradient directly toward the center of the low?...
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Why does the Coriolis force appear when deriving the forces on a particle in polar coordinates?

I considered a particle in polar coordinates, $(r,\theta)$, with mass $m$. The standard basis vectors in polar coordinates are: $$\mathbf{\hat{r}}=\cos{\theta}\mathbf{\hat{x}}+\sin{\theta}\mathbf{\hat{...
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Force on object at South pole

If we have an object of mass $m$, moving on a path of constant longitude travelling at speed v, what will the force on the object be just as it passes the South Pole? We are to assume the Earth is ...
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Motion of cyclone in land less area

Lets say a tropical cyclone is formed, and there is no land for it to fall or dissipates, what will happen to that cyclone, will it move in circles due to coriolis force being more and more as it ...
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171 views

Why doesn't the coriolis force cancel out when a ball is thrown up?

The question is to calculate the lateral displacement of a ball due to the coriolis force once thrown up and allowed to come back down. The initial equation to work with is $\ddot{x} = -2\omega \dot{...
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242 views

Horizontal component of Coriolis force in an aircraft: compensating force with its wings angle

I have the following problem: "An aircraft is flying at 800 km/h in latitude 55◦ N. Find the angle through which it must tilt its wings to compensate for the horizontal component of the Coriolis ...
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Inertial frames and Rotation: shooting up a ball from a rotating platform

A short cylindrical tube is fixated in a horizontal platform and shoots a ball vertically in such a way that it falls back into the tube. Now imagine that the platform is spinning with a certain ...
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Understanding the Coriolis Force

I am studying Fowles' Analytical Mechanics. I thought I understood the concept and derivation of acceleration in a non-inertial frame. I am not sure how to explain the highlighted question. My try:...
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1answer
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Should there be a significant differential in wind velocity indoors vs outdoors in relation to Earth's rotating atmosphere?

What is the behavior of a rotating Earth's atmosphere indoors? Should there be any differences experienced between the atmosphere spinning in lockstep with the Earth outdoors vs. closed-off indoors? ...
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1answer
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A problem on determining coriolis force on frames

First of all I am defining x axis in east of object and y to be in the north of object . Let us suppose a body is falling from a height; then after falling a certain height indeed gain some velocity ...
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What are the fundamentals of motion in a non-inertial reference frame?

First of all, note that I understand what is considered off and on topic here. I'm posting this because I likely lack some sort of conceptual understanding of motion in non-inertial reference frames, ...
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Real force analogue names for the coriolis and azimuthal fictitious forces

Consider the following equation (10.10) in Morin's book on classical mechanics, it is meant to provide a correct prediction of the measured acceleration of a particle for someone taking measurements ...
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Difference betwee $(d\vec r/dt)_{fixed}$ and $(d\vec r/dt)_{not~fixed}$

$[![Picture ~from ~http://www.astro.uwo.ca/~houde/courses/PDF%20files/physics350/Noninertial_frames.pdf][1]][1]$ From the picture above, the set of coordinates $x_i$ are the ones that are not fixed ...
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Is Earth an inertial reference frame?

Is earth considered as inertial frame? i was confused because we learned about coriolis effect. We know that earth spins therefore coriolis effect should take place . But does it have minimal effect ...
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Why do gas giants have similarly coloured stripes?

After looking at Jupiter and searching 'exoplanets gas giants' on google I found that many had stripes on them. I found that pretty peculiar. So why do they have stripes. I think it has something to ...
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Practical explanation for Coriolis force

Just to get an intuitive feel about the force. I came up with a imaginary situation of a long aisle on a huge rotating disk, like a groove along the diameter of a disk. Now as this disk starts ...
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Coriolis force decomposition of angular velocity [closed]

I can’t for the life of me understand how the $\omega$ in this is decomposed to $$\vec{\omega}= \omega (-\sin(\theta),0, \cos(\theta))$$ Any help would be greatly appreciated!
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Why does the water appear to be in front of the pipe?

I recently visited an exhibition (at Questacon), where I saw a display that apparently exhibited the Coriolis effect. There are four water jets coming out of pipes connected to a central spindle. Two ...
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1answer
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How does an initial velocity affect the tangential velocity when a rocket cross the poles?

I'm trying to improve a piece of code I've written to allow for shooting rockets across the poles while being affected by the coriolis force. The code is written using RK4 since we are also looking at ...
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What's wrong with the Big Spin Model?

A Dr. Serkan Zorba has a paper on arxiv in which he considers, what if the universe is actually slowly rotating? This gives rise to centrifugal and Coriolis forces on a galactic scale that seem to ...
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Why is acceleration in the rotating system zero?

Given a circular body that rotates around itself and there is a band(or iron line) that connects between the Cartesian coordinate system and its Perimeter, on the band, there is an ant that walking ...
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Free body diagram representation of coriolis force

In many problems,horizontal and vertical components of coriolis force are taken into consideration. But I really don't know how to fit these components into a free body diagram. Can anyone help me out ...
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Hovering around a spinning Planet with no Atmosphere

If you imagine standing on some spinning planet with no atmosphere, and you had some jet pack that allowed you to hover above that planet: Would you land at the same spot that you took off? On ...
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Direction of Coriolis force [closed]

My doubt is all about finding the direction of coriolis force by using the direction of the moving object. I really find it difficult to determine the direction of coriolis force through direction of ...