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Questions tagged [coriolis-effect]

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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 ...
0
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1answer
53 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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Is Coriolis force necessary for geomagnetism

I understand that the Coriolis force from the earth rotation organizes the current flow in the earth outer core into columns of rotation the axis of which parallel the earth rotation axis. That ...
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2answers
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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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3answers
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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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2answers
71 views

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
34 views

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
36 views

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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0answers
62 views

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
24 views

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
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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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2answers
66 views

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
73 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
62 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
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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
39 views

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
191 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 ...
0
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1answer
64 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
85 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
326 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 ...
2
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2answers
304 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
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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
191 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
31 views

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
71 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
50 views

The term $v$ (velocity) in Coriolis force formula $F=-2m(\omega×v)$ is with respect to which frame?

Velocity as observed from the inertial frame or the rotating frame?
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81 views

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 ...
0
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1answer
144 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 ...
2
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1answer
60 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
164 views

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
845 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
35 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
422 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
283 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
124 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
547 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
137 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
4k 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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4answers
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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
77 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
218 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
2k 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
61 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'...
2
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1answer
138 views

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
54 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
171 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 ...