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Questions tagged [coriolis-effect]

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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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1answer
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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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1answer
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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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4answers
689 views

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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2answers
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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 ...
0
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1answer
70 views

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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3answers
46 views

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!
3
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1answer
40 views

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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2answers
160 views

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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1answer
55 views

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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1answer
48 views

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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2answers
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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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3answers
142 views

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 ...
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0answers
18 views

transportation theorem and moving reference frames

I'm calculating the velocity of a particle at point P. My question: In an initial instance (time = 0), I can describe the location of particle P by a vector and know it travels at a constant ...
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2answers
92 views

Why doesn't Foucault's pendulum show Earth's spin at the equator but works at the North/South poles

If you where directly above the North/South pole and set up Foucault's pendulum, why does it show the Earth's spin even though the Earth isn't spinning there? This is also where it takes the shortest ...
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0answers
522 views

What causes this corkscrew-shaped object to rise up in a stream of water falling down?

A corkscrew-shaped object is floating in a tub of water. When water is poured into the tub from some height, the object starts rising up vertically in the stream of water. The water stream is falling ...
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2answers
83 views

Magnitude of Coriolis force given an east-west velocity

I'm trying to make sure I understand how the Coriolis effect works for velocity vectors that are not purely north-south (with regard to the surface of the earth). So consider an eastbound (again with ...
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0answers
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Apparent forces in a rotating reference system

In Lanczos Variational Principles of Mechanics there's a subsection for apparent forces in a rotating reference system. It states that If the origin O of the reference system is kept fixed, the ...
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3answers
56 views

Rotating Disk and vertical projectile

I have a question regarding classical mechanics and rigid bodies. Suppose we have a rotating disk with the plane of the disk perpendicular to the z-axis. The disk rotates with an angular velocity ...
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1answer
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0answers
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Scalar versus invariant in Newtonian mechanics

I looking up coriolis transport theorem for rotating refrence frames and while reading through this derivation he wrote: In Newtonian mechanics, scalar quantities must be invariant for any given ...
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1answer
64 views

Where exactly is the Coriolis acceleration direction on my picture?

I solved the following problem in my homework: A bullet is fired from a gun towards a target at distance of D=800 meters. The bullet speed is V=800 meters per second. The shot is taken at latitude ...
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1answer
37 views

Does a Foucault pendulum move quicker above than below of the apparatus?

Because of gravity on earth, a time period is slower at low altitude than at high altitude. Does a Foucault pendulum move quicker above than below of the apparatus because of gravitational time ...
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0answers
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Classical oscillator in a rotating frame

I would like to understand the behaviour of a simple mass-and-spring system - a classical harmonic oscillator - in the $xy$ plane that is in rotation about $\hat z$ with frequency $\vec \Omega=\Omega\...
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3answers
469 views

Why does a cannon ball shot straight up come down almost exactly where it was shot from? [closed]

Since the earth is spinning, why does a cannon ball shot straight up land exactly where it was shot from?
0
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1answer
30 views

Inertial reference frames in an atmospheric science context

A Hadley cell cycles air meridionally between the equator and 20 ◦ latitude. Assuming no zonal wind at the equator, what is the mean speed and direction of the trade winds at 20 ◦ ? My instructor ...
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2answers
257 views

Coriolis Force, Projectiles, and Right Hand Rule?

The Coriolis force is given by the vector equation $-2m \Omega \times v'$. Where $v'$ is the velocity with respect to the rotating frame. For the case of a projectile on the Earth, $\Omega$ is ...
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1answer
162 views

Where does the '2' Factor come from in the Coriolis Force? [duplicate]

Say we have a disk rotating at $\omega$, and an observer standing at radius $R$. The observer throws something of mass $m$ with radial velocity $v_r$, and the goal is to make this object go in a ...
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1answer
116 views

Why the Coriolis force cannot be a vector in the usual sense?

Why the Coriolis force cannot be a vector in the usual sense?
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1answer
326 views

Difference between the Coriolis effect and the Eötvös effect

The coriolis accelaration is $-2\Omega \times u$, where $\Omega$ is the earths rotation and u is the velocity in a basis following the earth. When something moves east/west, this results in ...
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0answers
102 views

Coriolis problem by conservation of angular momentum

A stone is dropped from a stationary helicopter 500 m above the ground at the equator. How far from the point vertically beneath the helicopter does it land and in what direction? You should solve ...
2
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1answer
2k views

Acceleration in plane polar coordinates [duplicate]

When we express acceleration in plane polar coordinates, we can find that $\vec{a}= \left(\ddot{r} - r \dot{\theta}^2\right)\hat{r} + \left(r \ddot{\theta}-2\dot{r}\dot{\theta}\right)\hat{\theta}$. ...
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3answers
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Why does bathwater make a vortex in the plughole?

When I google for this I just get stuff about whether or not the Coriolis effect makes it go clockwise or anticlockwise, but I don't care which direction it turns in. I want to know why it turns at ...
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1answer
71 views

How to show that a hollow planet is rotating?

So i have this question that is bothering me for a while. Suppose you are inside a hollow planet with no contact with the exterior. How do one show that the planet is rotating? I've been thinking ...
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2answers
176 views

What is the cause of the Coriolis force?

What is the cause of Coriolis force? Will a bead fixed on the spoke of a rotating wheel experience a Coriolis force?
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2answers
872 views

How do I calculate Coriolis force? [closed]

For figuring Coriolis force, I've seen this equation: $$ \vec a_{cor} = -2\vec \omega \times \vec v $$ So, say that I have an angular velocity of 5 rpms, and a velocity of 10 m/s going toward the ...
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1answer
57 views

What is it like riding in an elevator on a rotating space station?

On the truly massive designs like the O'Neill Island 3, we're going to want an elevator for hauling both people and freight from axis to rim and back. If I understand it correctly, as you ascend, you'...
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1answer
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Coriolis force effect on spiral galaxies

I know the Coriolis force explains the counterclockwise rotation of the hurricanes hitting the U.S. I wonder if a Coriolis effect also determines (or at least influences) the direction of rotation ...
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1answer
49 views

What makes air to spin?

The phenomenon is observed in tornadoes where the air spins with a great speed causing so much damage. Can there be any experiment that can be performed to make the air spin in clockwise or ...
2
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1answer
148 views

Pouring coffee in a rotating space station

Following upon of the question Throwing a ball on a rotating space station, I'm interested in understanding how to actually calculate the result of the Coriolis effect in a particular situation. I've ...
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0answers
69 views

could a force with corolios and centrifugal terms be written as a potential gradient?

I have an exam in classical mechanics next week, so I came across this problem which I did not fully understand nor any of my colleagues (it was a bonus problem in an old exam) I just want some hint ...
2
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1answer
108 views

Coriolis force in the divergence form

I'm reading a paper (Ni et al, J Comp Phys (2007)) where the author introduced the divergence form of the Coriolis force. $$ \omega \times \mathbf{u} = \mathbf{u} \cdot \nabla(\omega \times \mathbf{r})...
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2answers
106 views

Why do stationary pools of water not rotate?

During the coriolis effect, does gravitational potential energy get converted into rotational energy? Why do stationary pools of water not rotate?
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1answer
513 views

Is centrifugal force a conservative force?

The centrifugal force depends on the position so it must be a conservative force whereas the Coriolis force depends on the velocity and it is a non-conservative force. Is this conclusion correct?
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0answers
283 views

Coriolis effect

How would I to be able to calculate the Coriolis drift for a ballistic target? (let's say a bullet shot south from the northen hemisphere, after calculating the acceleration based on latitude how ...
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2answers
293 views

Centrifugal and Coriolis Forces

I understand the theory that a ball thrown from the equator to the Tropic of Capricorn will experience a forward + sideways motion (as the earth spins at approx 444 meters per second at the equator). ...
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0answers
35 views

I need to recreat Focaults pendulum, Please let me know what you think I am on a budget

So Far I am thinking galvanized cable or aircraft suspension cable (I can only make it 7', This is a college project under grad), or a rod with slight flexibility (yet i have found nothing). A plum ...
0
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1answer
538 views

Bug on a rotating plate problem [closed]

A bug is on the edge of a rotating plate, rotating with angular velocity 0.2 rad/s. The bug decides to move towards the centre of the disc, and moves with a velocity v0=0.1m/s from its point of view. ...
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1answer
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How can something be perpendicular to a circular motion?

I recently forgot about the coriolis effect and revisited it. This resulted in a question, how can something be perpendicular to a circular motion? If the effect causes a force upon an object in the ...