If Earth was turned into an air-hockey planet, with no friction (or air friction), and I was in New York and I shoved an air hockey puck North, would the hockey puck trace out the same sinusoidal-type path that a satellite/space station does (spending an equal amount of time in the northern and...
Homework Statement
A fast sprinter with a mass of 80 kg runs across the equator. What is the value of the Coriolis force he experiences?
Homework Equations
F=ma
a=2ωVradial
ω=7.27 x10-5 rads-1
Earth rotates from west to east.
The Attempt at a Solution
I pick a direction of travel - South to...
I'm trying to get an understanding of the Coriolis effect, and I understand it when the wind moves longitudinally (North-South). Basically, the wind has a certain horizontal component of its velocity due to the rotation of the Earth, and as it moves North or South the rotation of the Earth...
There is a car driving with speed u opposite the direction of the rotation of the space station. ω=√(g/R) so artificial Earth gravity at R. Resulting tangential speed of station is v=√(gR) and centrifugal force is therefore mg radially out. Coriolis force is 2muxω radially in, magnitude...
Centrifugal force due to rotation of the Earth has among its effects the deviation towards the equator of a ball falling from height ##h## vertically on Earth.
I do not understand what is the inertial explanation of this phenomenon. Once the ball is released there is no centripetal force that...
Homework Statement
Homework Equations
Coriolis Accel = 2*v*w
Where w is the angular velocity and v is the linear velocity.
The Attempt at a Solution
I really just need help on understanding how the Coriolis acceleration in this problem is depicted. My dynamics book is extremely confusing...
I'm trying to understand the relations between the existence of Coriolis force and the conservation of angular momentum. I found this explanation on Morin.
I do not understand the two highlighted parts. In particular it seems that Coriolis force is there to change the angular momentum of the...
I don't understand what are the causes of the Coriolis effect for objects moving with respect to Earth. For istance consider an object free falling on the Earth from an height h. Its tangential velocity its greater than the velocity of an object on the surface of Earth, hence it moves eastward...
Homework Statement
4) Find the direction does the Coriolis force in the following case
a) a jet going north over the equator;
b) a rocket going up at the equator;
c) a pendulum at the equator viewed from above (please give the rotational direction.)
d) a rocket going up at the south pole...
Homework Statement
Four children are playing toss on a merry-go-round which has a radius of r=2m. The merry-go-round turns counterclockwise and completes one revolution in 2 seconds. The child who has the ball wants to toss it to its right neighbour. It tosses the ball towards the center of the...
Homework Statement
I don't want to post the actual question because I want to understand the situation in a general case. Basically, there is a bullet that moves south along the surface of the Earth as in this diagram: http://abyss.uoregon.edu/~js/images/coriolis_effect.gif. You have to find...
Homework Statement
I was trying to learn about this force, and came across a youtube video:
. At 4.00 in the video, he says, "if the parcel of air continues to get deflected..." Why would it continue to get deflected?
At 4.40 in the video, a girl rolls a ball while moving on a merry go round...
Hi all,
To get straight to the point of my question, is the Eotvos effect purely an 'apparent' effect?
i.e. it only arises if you choose a biased reference frame that is fixed to the surface of a rotating object (in our case the spinning surface of the earth)?
From my understanding of the...
Homework Statement
The Coriolis force can produce a torque on a spinning object. To illustrate this, consider a horizontal hoop of mass m and radius r spinning with angular velocity w about its veritcal axis at colatitude theta. Show that the Coriolis force due to the Earth's rotation...
Homework Statement
A train at latitude λ in the northern hemisphere is moving due north with a speed v along
a straight and level track. Which rail experiences the larger vertical force? Show that the ratio
R of the vertical forces on the rails is given approximately by:
R= 1+ 8Ωvh sin λ / ga...
Homework Statement
A bird of mass 2 kg is flying at 10 m/s in latitude of 60° N, heading due East. Find the horizontal and vertical components of the Coriolis force acting on it.
Homework Equations
The Coriolis Force, F = 2mw∧v. Where ∧ shows the cross product between angular frequency...
Homework Statement
Consider a Rossby wave propagating in a homogeneous ocean with a water depth of 4,000m at 35o N latitude. If the wave length of this wave is 500km, is this a long or short Rossby wave?
Homework Equations
shortwaves: |kx-1| <<RD
longwaves: |kx-1| >> RD
kx is the x-component...
Homework Statement
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A circular table of radius rotates about its center with an angular velocity 'w'. The surface of the table is smooth. A groove is dug along the surface of the table at a distance 'd' from the centre of the table till the circumference. A particle is kept at the starting...
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Last year, in first year I had problems with understanding the Coriolis Force. I asked the lecturer about it and he found a simpler way of explaining it. I thought I had understood. However, I've spent many hours this weekend trying to understand it and it keeps eluding me. That explanation...
Homework Statement
Rod AB rotates with the angular velocity and acceleration CCW as shown. Points A and D are pin connected. The collar C is pin connected to the link CD and slides over the link AB. At the instant shown the link CD is vertical and the link AB has an angular velocity of 2 rad/s...
Homework Statement
Compute the Sverdrup transport (in units of Sverdrups) across 350 N in an ocean that is 6,500 km wide at that latitude, if the curl of the wind stress is -10-7 Pa/m. Wht is the direction of this transport?
Homework Equations
My = (1/β) * curlHt*w. Where, t is Tau (wind...
Two quick questions. Does the Coriolis effect mean that in the northern hemisphere the curl will always have a negative value and in the southern hemisphere a postive one? Is the curl in the eye of the cyclones equal to zero?
Thanks.
I'm having a little trouble understanding why the Coriolis force is proportional to the velocity vector of the object in the rotating frame. It seems to me if you had a spinning cd for example and let a ball go on it, if the ball was moving slower from the inside to the outside it would divert...
Homework Statement
Coriolis Force - Explain how the following situations would appear in both the inertial and non-inertial reference frames. Assume the inertial frame to be a view from above.
Situation 1 - a ball is thrown from the centre of a merry-go-round which is rotating...
Definition/Summary
Coriolis force is a non-physical force, appearing, like centrifugal force, only in rotating frames of reference.
It is an inertial force, like centrifugal force and gravity, meaning that it affects all matter, proportionately to its mass (inertia), but independently of...
I've been wonder something about coriolis force.
Well... when we consider motion of projectile on earth, we have to consider coriolis force due to Earth's rotation and we know that coriolis force varies with latitude.
In the book (fowles's) they set differential equation and just...
I am trying to understand the Coriolis effect from some time but i am unable to conceive the idea why the air parcel flowing from west to east on Earth would go southward.
what I have understood till now is:
" From the perspective of observer in inertial frame of reference, when the air...
I wonder if anybody can point me to a good explication of the atmospheric Coriolis effect broken down into base forces. Most of the explanations I've seen are problematic, even flawed as far as I can tell, and they rarely talk about force vectors.
I've seen demonstrations, for instance a...
Does the term "Coriolis effect" refer to the phenomenon that causes the sheering of wind (or other objects) due to the difference in angular velocity encountered when moving from north to south or south to north, or . . .
does it refer to the turning observed with a Foucault pendulum that is...
Hi guys. I was reading a paper in which a calculation was done to show that in Schwarzschild space-time, if we consider a time-like circular orbit 4-velocity ##u^{\mu} = \gamma(\xi^{\mu} + \omega \eta^{\mu})## where ##\xi^{\mu}## is the time-like Killing field, ##\eta^{\mu}## is the axial...
Given an example of a rifle bullet traveling east or west, why does the bullet deviates HORIZONTALLY? (right on the northern hemisphere, left on the southern hemisphere)
As rotation speed in the same latitude coordinates stays roughly the same, I wouldn't expect the bullet, or any other...
Homework Statement
There is a fixed coordinate system and a rotating one. the origins don't coincide.
The situation is like a stone falling from a tower on earth, where the rotating system has it's origin at the base of the tower.
Are the coriolis and centrifugal forces dependent on the...
I've been trying to understand the Coriolis effect on the Earth's surface. The general equations produce two terms:
The first is R'' and the second is 2ΩxV, where R is the position of the point on the Earth's surface, V is the velocity (relative to Earth) and Ω = ωk. Where ω is the Earth's...
Homework Statement
A puck slides with speed v on a frictionless ice that is level in the sense that the surface is perpendicular to geff at all points. Show that the puck moves in a circle as viewed in the Earth's rotating frame. Determine the radius of the circle and the angular frequency of...
http://imgur.com/euMW6FO
In the above question, why is coriolis acceleration in the positive eθ direction?. The system is rotating in an anti-clockwise direction, and in the er direction the velocity of the cam is
radially outwards. Would this mean that the coriolis acceleration is to the...
So we all know the Coriolis effect isn't demonstrated in a bathtub or toilet. Are there any videos online of the size of pool needed to demonstrate it? I saw one in grad school--black and white from the '50s--an indoor, above-ground pool with a drain in the center, allowed to settle for a week...
Homework Statement
Hello everyone,
I am having some problems with a question about the coriolis acceleration in a particular region. Attached is an image showing velocity measurements going in a circular motion at the surface of the ocean. A to B is 200 km and the fastest velocity is .5...
Homework Statement
Suppose that you are on a rotating platform, going around with frequency w a distance
r from the center. Suppose that you are watching an object that moves in a straight line.
Produce an animation that shows the position of the object from your perspective. Does
this...
I really need help with this question.
A small floating object initially moves with velocity v on the surface of a liquid at latitude λ. The drag force due to liquid is F=-αv. Find the shape of the trajectory of the object due to drag and Coriolis forces. What will be the trajectory if α=0 ?
Imagine that we have a wheel spinning with the axis of rotation normal to the Earth's surface. For convenience, let's assume that the wheel is located somewhere in the north hemisphere.
According to the definition of the Coriolis force, every little particle dm of the wheel has a coriolis...
Homework Statement
A stone is left to fall from a 80 meters high tower on the equator.
How far in front of the tower it will fall.
Homework Equations
The angular velocity of the earth: ω=7.27E-5 [rad/sec]
It reaches the ground in 4 seconds.
The Attempt at a Solution
This problem is solved, in...
Lets say a cone shaped funnel was made as I was draining water (due to coriolis effect) and that there is a given circumferential velocity (lets say its 5m/s) at a certain radius of the cone (lets say 15 cm), also the cone's vertex is inside the drain and is a certain distance (lets say this is...
Homework Statement
Dear all
I have a question concerning the Coriolis acceleration expression. I learned it as Ac = -2ω x v, where ω is the vector which indicates the rotation axis direction of Earth and v the velocity of a body that I want to check the Coriolis effect on.
My...
Dear all
I have a question concerning the Coriolis acceleration expression. I learned it as Ac = -2ω x v, where ω is the vector which indicates the rotation axis direction of Earth and v the velocity of a body that I want to check the Coriolis effect on.
My question: where the minus...
Hello, I've long thought that the coriolis effect was something quite logical (i.e., things luck funny when in a rotating frame of reference), but interested in the mathematical reasoning behind it (because it, being a ficticious force is more about geomtry than physics), found that it was...
Let's say I build a 500 m long circular road around the north pole. Then I drive on the road at speed 20 m/s, to the east.
There will be a noticeable inertial force to the south.
Is that inertial force a Coriolis force?