I read that in the northern hemisphere the Coriolis force is always 90 degrees to the right of the vector of motion in the rotating frame. That is, driving from SF to NY there is a force to the south, driving from NY to SF there is a force to the north. OK, pseudoforce, whatever. I don't...
Let`s say we have rotating body in the space which is covered completely or partially with
some liquid.For example water.Rotating body do not exibits gravitational or tidal interation with other bodies.Will Coriolis force generate some constant currents in liquid or not?
Please answer if you...
If I am trying to fire a torpedo at another vehicle underwater do I need to worry about the Coriolis Effect? The speeds that torpedoes travel at are approximately 20 m/s and have a maximum range of around 10km.
Homework Statement
A particle has velocity v on a smooth horizontal plane. Show that the particle will move in a circle due to the rotation of the Earth and find the radius of the circle. (Ignore all fictitious forces except the Coriolis force.)
Homework Equations
Coriolis force, given by...
Imagine I stand on a merry-go-round and throw a ball inwards towards the center. The path will make a curve due to the coriolis force. I want to know what explains this.
If the ball is thrown inwards, the velocity of the disk gets slower and slower the lower radius as seen from our frame of...
Let aS denote the acceleration of an object as measured in a reference frame S that accelerates relative to another reference frame with an acceleration aI. We then have that the absolute acceleration of the object as measured in an inertial frame of reference is given by:
a = aS + aI + aC...
Hi, it's my first time on these forum, so I hope that I made this post correctly.
I have an example solution to this problem using tensors and matrices ^^ but I wanted to solve the problem in a different way and would like some feedback on whether or not this solution is correct.
Homework...
Homework Statement
A rotating ball with rotational angular velocity ω= (0,0,ωz) . What is the direction of the coriolis force with the following velocities: Va = (Vx, Vy,0) ; Vb= (Vx, 0,Vz)
Homework Equations
All i know about coriolis force is F= 2m(vχω). The question even doesn't...
Homework Statement
On its way to Paris the Eurostar train is traveling due South at 300 km/h
at a point with latitude 49°. Assume the Earth is a perfect sphere of radius,
RE, that rotates around its axis (North/South pole) once every 23 hrs 56
min.
(a) Calculate the magnitude of the...
Homework Statement
An airplane is flying due east along the 30 degree north latitude circle at 800 km/hr. Determine the magnitude and direction of the Coriolis acceleration acting on it. If the Coriolis acceleration is not compensated for, how far off course will the airplane be after one...
Homework Statement
I have a Coriolis mass flow meter and I'm supposed to run water through it at different flow rates. I have a motor / pump which is controlled by AC drive (which is controlled by potentiometer). Also, I have a pressure transducer mounted at the input side of Coriolis mass flow...
Homework Statement
If you fire a projectile eastwards and upwards with a speed u=(uo,0,wo) at latitude theta, where will it land? You can neglect air resistance and (in the vertical momentum equation) the effects of rotation relative to a constant g. Sketch the solution(s). Find the landing...
Homework Statement
Hello all,
I was hoping to get some help on this difficult question I encountered. Thanks in advance.
Cheers.
"Imagine you are taking a ride on a horizontally spinning carousel. Suppose that at a certain moment, you are moving with linear speed \vec{v} and...
Homework Statement
This is a fairly general problem that came up while trying to model a system. Given a rotating disk and an inertially fixed object, how is the fictional coriolis force handled? For example, if there is a dot on the ground below a sheet of transparent plastic rotating at...
Is the movement of winds due to coriolis or centripetal force? Or is there no way to tell, like for example for tidal forces, there is no way to tell wether they are caused by centripetal forces or gravity. (At least that is how I have understood the problem.)
Earth is like a huge turntable...
I have a derivation for the coriolis acceleration on a "merry go round" that my instructor gave in class, i was wondering if someone could tell me if this is correct or offer the correct final equation.
Additional information: this is from the rotating point of view on the merry go round...
Homework Statement
Consider a river of width 1000 m flowing 30 degrees east of north with a speed of 10m/s at latitude 50 degrees north. The river bottom is flat. On which side of the river is the water deeper and by how much?Homework Equations
the only correction i need to use is -2m(omega...
Hi there. I'm having some trouble to determine the distance determined by the Coriolis effect over a projectile. Let's suppose the projectile is fired from the north pole over the noth-south direction, with enough speed to get to the equator. How do I determine the distance that the projectile...
can anyone please explain me following errors of gyroscopes used in inertial navigation systems of aircraft :
a) what is transport wander , how actually it happens ?
b) what is apparent drift in gyroscope ?
c) what is coriolis effect and how it causes errors in gyroscopes ?
Q. An aeroplane flies at constant altitude due south over London. Its speed is 320 km/h and the latitude of London is 51 degrees North. What is the magnitude and direction of the Coriolis acceleration on the aeroplane?
Do I use Coriolis acceleration = 2ω x v to find acc? Is ω = 2π /...
This relates to a long standing confusion I have had about the Coriolis explanation for cyclones and anticyclones...
The usual 'turntable' demonstration of the Coriolis 'force' is very intuitive. The demonstration relies on the ball/pen/pendulum not having any friction with the turntable and...
Homework Statement
I'm having a lot of trouble figuring this one out:
I attached a figure which shows what's going on, for clarification.
Homework Equations
The relation between absolute and relative velocities is as follows:
U = u - OMEGA*y
V = v + OMEGA*x
where U and V are...
So assume you have disk in space with a ball on it, the disk rotates and the ball flies off in a in a spiral (viewed from the disk). Thing is if we are in a space with no other matter, then who is to say what the non-moving frame of reference is. I could therefore say the disk is a my reference...
Homework Statement
Imagine that you are an observer in space (so you are in an inertial system), when the cannon (located on the equator) fires a cannonball in north direction. What does the trajectory of the cannonball look like from your perspective? Is it a straight line (that would mean...
Homework Statement
Figure is attached.
In an amusement park ride called the hammer a large beam rotates in a ver- tical plane about a central pivot (see figure). Cages are attached to the end of the beam; these rotate independently. The riders are strapped to the walls of the cages. The...
http://img121.imageshack.us/img121/6590/mwsnap001.jpg
The image above shows the question I'm stuck on.
I've done the first part and got the force per unit mass to be -2wV'cos\lambda
But I have no idea how to get the equation for the eastward displacement due to the Coreolis.
Any...
Homework Statement
a projectile is launched at an angle \alpha above the horizontal, from the top of a vertical cliff of height h above the ocean. It strikes a distance d from teh base of the cliff. Show that its maximum height is given by H2 +(d2/4)tan2\alpha/(H+d tan\alpha) neglecting air...
Hi
In my textbook they were doing a derivation of the acceleration of a projectile flying on Earth. Although they used the center of the Earth as the frame of reference, they ended up with the linear combination of 3 quantities for the acceleration of the projectile, one of which they said...
http://img441.imageshack.us/img441/9222/85615861.jpg
Uploaded with ImageShack.us
Homework Statement
The picture speaks for itself: one man "A" is standing of a rotating disk whose angular velocity is \omega CCW, and another one "B" is standing still on earth. I'm riquired to find the...
Homework Statement
An object is dropped from rest at height H = 40m above the ground at latitude 31.3^{o}S. Calculate the final displacement, in magnitude and direction, due to the Coriolis effect.
Homework Equations
\Omega = \omega \left(
\begin{array}{cc}
0\\
\cos{\varphi}\\...
A particle of mass m is confined to move, without friction, in a vertical plane, with axes x horizontal and y vertically up. The plane is forced to rotate with constant angular velocity \Omega about the y axis. Find the equations of motion for x and y, solve them, and describe the possible...
Hi, everyone
We were told in class that the Coriolis Effect is due to the change in the radius in circular motion.
But an objtct moving with constant velocity on the edje of the circular system, like on the equator still experiencing Coriolis force, because the cross product 2wXv is not...
I was going through the concepts of Coriolis force but got stuck at the point that the Coriolis force is zero at the equator. Consider a person moving along the equator with a velocity v. Mathematically,
Coriolis force= -2m(w x v)
In this case though the latitude is zero...
Hey guys, I wondered if you could give me a hand with this?
1.A marksman follows a rapidly moving target by swinging his rifle from left to right about a vertical axis whilst holding the barrel horizontal. Just as the bullet is about to leave the barrel it has a muzzle velocity of 800 ms-1...
How does the coriolis effect have role in the precession of gyroscopes?http://en.wikipedia.org/wiki/Precession"
In the torque-induced precession section, it says masses move due to the coriolis effect, but it happens only in rotating frames.
I would want an explanation on why a torque...
Coriolis effect -- time to ground
This is not a homework problem, I just have a conceptual question. Does the presence of the Coriolis effect, make a difference in how long it takes for a project tile to hit the ground. Obviously it makes a difference in its final location, but the time?
Thanks!
Can we detect any coriolis forces induced from our circular orbit around the Sun ?
We're going in a big circle so we should be able to detect some coriolis if we deviate from that circle - ie if we move around a bit instead of following a perfect circular path.
Considering the Earth is...
A carousel going counter clockwise starts from rest and accelerates at a constant angular acceleration of 0.02 rev/s^2. A girl sitting on a bench on the platform 7 m from the center is holding a 3kg ball. Calculate the magnitude and the direction of the force she must exert to hold the ball 6s...
Hello,
I am stuck on the coriolis force. If an object is dropped how do I get the eastward deflection when looking from an inertial frame? I know how from the rotating frame but for some reason I am stuck, i.e. what terms to use.
Also, if I throw a ball straight up from Earth what is the...
My mechanics book says that if a rock falls freely to Earth from a certain height than it will be deflected slightly to the east due to the Coriolis force. But I don't understand why. Consider the following Wikipedia picture:
If we imagine that we're looking at the nothern hemisphere from...
Pseudo forses arising in a frame are defined as the negative of mass times acceleration of the frame used. now in cylindrical coordinate system if we compute acceleration, we should be able to know completely the corilis and centripetel forses.
However my problem is I don't understand...
With my fairly sketchy knowledge of relativity, one of the basic assumptions is that you can't tell who's point of view is right, with regards to how thing are moving. But, in the case of rotation, isn't it possible to tell if you are rotating by observing the coriolis effect?
For instance...
When I studied "Earth Science" , I found a formula of Coriolis Force which is
-2m\vec{}\omegax\vec{}v
I am wondering how the formula is proven?
I need a careful proof and diagram
THX!
Hi guys, there is a problem I am having hard time interpreting, so I wonder if you can share your thoughs.
Here it is.
Homework Statement
a projectile is launched due north from a point in colatitude /theta at angle pi/4 to the horizontal and aimed at target whose distance is y (small compared...
Homework Statement
Its a 3 part question but i think I already got the first 2 parts.
The first part was asking us to find the angular velocity of the spinning earth.
The second part was asking us to estimate the velocity of water moving horizontally in a sink as it drains. Using that we...
Homework Statement
v = 0.05m/s (was told to estimate the velocity of water)
a)What is the acceleration "a" the water will feel, deflecting it to the right (if the sink is to the northern hemisphere)
b)Across the size of the sink, over what distance would the water be deflected to the...
I guess this question is very easy, but after it occurred to me, it has been torturing me for quite a while.
I don't understand how the Coriolis effect and Foucault pendulum work. I thought everything inside the Earth was moving along with it (inertia).
If we are in a moving train, and...