Pole Definition and 367 Threads

The North Pole, also known as the Geographic North Pole or Terrestrial North Pole, is the point in the Northern Hemisphere where the Earth's axis of rotation meets its surface. It is called the True North Pole to distinguish from the Magnetic North Pole.
The North Pole is the northernmost point on the Earth, lying diametrically opposite the South Pole. It defines geodetic latitude 90° North, as well as the direction of true north. At the North Pole all directions point south; all lines of longitude converge there, so its longitude can be defined as any degree value. Along tight latitude circles, counterclockwise is east and clockwise is west. The North Pole is at the center of the Northern Hemisphere. The nearest land is usually said to be Kaffeklubben Island, off the northern coast of Greenland about 700 km (430 mi) away, though some perhaps semi-permanent gravel banks lie slightly closer. The nearest permanently inhabited place is Alert in the Qikiqtaaluk Region, Nunavut, Canada, which is located 817 km (508 mi) from the Pole.
While the South Pole lies on a continental land mass, the North Pole is located in the middle of the Arctic Ocean amid waters that are almost permanently covered with constantly shifting sea ice. The sea depth at the North Pole has been measured at 4,261 m (13,980 ft) by the Russian Mir submersible in 2007 and at 4,087 m (13,409 ft) by USS Nautilus in 1958. This makes it impractical to construct a permanent station at the North Pole (unlike the South Pole). However, the Soviet Union, and later Russia, constructed a number of manned drifting stations on a generally annual basis since 1937, some of which have passed over or very close to the Pole. Since 2002, the Russians have also annually established a base, Barneo, close to the Pole. This operates for a few weeks during early spring. Studies in the 2000s predicted that the North Pole may become seasonally ice-free because of Arctic ice shrinkage, with timescales varying from 2016 to the late 21st century or later.
Attempts to reach the North Pole began in the late 19th century, with the record for "Farthest North" being surpassed on numerous occasions. The first undisputed expedition to reach the North Pole was that of the airship Norge, which overflew the area in 1926 with 16 men on board, including expedition leader Roald Amundsen. Three prior expeditions – led by Frederick Cook (1908, land), Robert Peary (1909, land) and Richard E. Byrd (1926, aerial) – were once also accepted as having reached the Pole. However, in each case later analysis of expedition data has cast doubt upon the accuracy of their claims.

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  1. N

    Determining the Power of a Pole: f=\frac{z}{1-\cos z}

    f=\frac{z}{1-\cos z} the singular points are z=2pik and zero i solved for z=2pik and poles because there limit is infinity now i want to determine te power of the pole g=1/f=\frac{1-\cos z}{z} g'=\frac{(-\sin z)z-(1-\cos z)}{z^2} g'(0)=0/0 g''=\frac{-\sin z z^2 -(cos z -1)2z}{z^4}...
  2. M

    Pole and zero of a transfer function

    A transfer function H(S) in s-domain has been obtained as H(s) = 5.0625/(0.0008s^2 + 0.0882s + 5.0625). I’m interested in finding its poles and zeros. I found that denominator polynomial 0.0008s^2 + 0.0882s + 5.0625 has complex conjugate roots. Roots are -55.13 + i 57.35 and -55.13 - i...
  3. B

    Sun's Magnetic Pole Reversal & Current Location: North or South?

    The Sun's Magnetic poles reverses every 11 year. Where is the magnetic North Pole now? - at geographic North or South?
  4. D

    Problem: Contour integral, order of a pole

    Homework Statement The Attempt at a Solution PART1) Series of Taylor for e^(3z) + 2 (based on series for e^z) \sum_{n=0}^{\infty} \frac{(3z)^{n}}{n!}= (1+2) + 3z + \frac{(3z)^2}{2!} + \frac{(3z)^3}{3!} + ... Series of Taylor for 3e^(z) (based on series for e^z) \sum_{n=0}^{\infty}...
  5. D

    Residues of an essential singularity and a simple pole

    Homework Statement Classify the isolated singularities and find the residues \frac {\sin(\frac {1}{z})}{1-z} Homework Equations I know the Taylor series expansion for 1/(1-z) when |z|<1 and I think I know the Taylor series for sin(1/z). The reciprocal of each term of the Taylor series of...
  6. A

    Lead/Lag compensator - lead and lag time to pole and zero locations

    Hi, I am having difficulty understanding how to convert pole and zero locations of a lead lag compensator into lead and lag time and vise versa. I have a digital lead and lag compensator which requests: gain, lead time (min) and lag time (min). However i have the gain zeros and poles of...
  7. S

    Analytic Function with a Pole at 1

    Homework Statement Let r>1, let f be analytic in the disc (0,r)\{1}, and suppose that f has apole at 1. Let sum(a(k) *z(k)) be the power series expansion of f in the disc (0,r). Prove that there is a positive integer N so that a(k) not equal to zero for k>= N, and that lim...
  8. F

    Equivalent resistance of a two pole

    Homework Statement 2. The attempt at a solution I would say Re = 6 ohm, but that can't be right.. So i really don't know how it could be something else. Any help in solving this problem would be apreciated :)
  9. M

    What is the rotational inertia of the pole

    Homework Statement A 2.75 m long pole is balanced vertically on its tip. It starts to fall and its lower end does not slip. the mass of the pole is 12.93 kg What is the rotational inertia of the pole about an axis through its lower end and perpendicular to the pole? Homework...
  10. P

    Why does battery serial pole connection plays a role?

    Hi! I just registered as I have been wondering quite a while about a specific question that grew in my head while reading about electronics in school. As I have learned voltage is a difference in potential. So if we have a 9V battery there is a difference of 9V between the two poles of the...
  11. L

    Special relativity barn pole thought experiment

    Homework Statement cookie dough lies on a conveyor belt which moves at speed v. A circular stamp stamps out cookies as the dough rushes by beneath it. When you buy these cookies in a store, what shape are they? That is, re they squashed in the direction of the belt, stretched in that...
  12. I

    Tangent, Horizontal and Vertical Lines at the Pole

    Help me understand exactly what is going on here. I'll put up an attempt at my solution: Find the tangent lines at the pole r = sin5o, [0,pi] (note: o represents theta) Equation: dy/dx = [f'(o)sino + f(o)coso]/[f'(o)coso - f(o)sino] f(o) = sin5o f'(o) = 5cos5o plugging everything...
  13. P

    Find 9 WO Class B Shaded Pole Motor | Electric Motors & Specs | Canada

    Hello, I'm looking for a shaded pole motor manufactured by Electric Motors & Specs. 9 WO Class B 115 Volts 60 HZ 1550 RPM Does anyone know where this part can be found? I live in Canada. Thanks!
  14. P

    Forces in pole leaning over ground

    Homework Statement hello:D I have a pole (no associations!) and I am leaning it over ground that it stands making a angle of \phi between ground and pole length. What are the forces working in down finish of this pole, the one who is going vertically down, and going horizontally? thanks for...
  15. P

    Falling pole lifting off the ground.

    I have heard (what I consider to be) a myth of a pole lifting off the ground before it hits. That is, set something like a telephone pole up on end with no initial falling velocity, then let it drop. The claim is that the bottom of the pole actually lifts from the ground before the whole thing...
  16. P

    Solving a Physics Problem: Finding Pole Mass, Forces & Distance

    Homework Statement At the end of the semester Peter and Paul are moving out of the dorms. The are holding a 6 kg box hung from a homogeneous pole of unknown mass. The position from which the 6 kg box is hung is also unknown. The length of the pole is 1.4 m. As they carry the box, the pole is...
  17. T

    Strange hexagonal shape on Saturn's north pole.

    http://www.examiner.com/x-5182-Dallas-Weather-Examiner~y2009m12d10-Solar-systems-greatest-mystery-at-Saturns-north-pole If anyone here knows a lot about astronomy, and astro-physics, could you please try to scientifically explain this? The same shape appeared on Jupiter about a year ago...
  18. M

    What is magnetic pole? What is sink/source?

    What is the definition of 'magnetic pole' and 'sink/source'? Same thing? Are there any experiments and equations that can locate magnetic poles? How far away are magnetic north and south poles of single spinning electron?
  19. M

    Tunnel from north pole to equator

    Hi all! I'm not so good at physics so i decided to turn to you. So please help me. Homework Statement I have to calculate how the object (ball) moves when droped into the tunnel (as seen in the picture), and how long the journey takes. We assume that Earth is round and there is no friction and...
  20. edpell

    Mass at equator versus mass at pole

    Has anybody ever done an experiment to measure the mass of an object at the equator and then at the pole to see if they differ due to the higher velocity at the equator? Or at least during the part of the day when the Earths rotation velocity and the Earth sun orbit velocity add up. I guess a...
  21. S

    Dynamics: Particle confined in slot and a pole moving

    Homework Statement http://img692.imageshack.us/img692/91/1391.gif Homework Equations \Sigma F_{r} = ma_{r} = m(\ddot{r}-r\dot{\theta}^2) \Sigma F_{\theta} = ma_{\theta} = m(r\ddot{\theta} + 2\dot{r}\dot{\theta}) The Attempt at a Solution...
  22. K

    Angular Acceleration of a falling pole

    Homework Statement A 7.0m -tall electrical pole with mass 260 kg has a 42 kg electrical transformer attached to its very top. The pole is hit by lightning at its base, nearly severing the pole from its base. The pole begins to fall, rotating about the part still connected to the base...
  23. B

    Pole Splitting equation question

    I'm trying to follow along with the equations on the wikiepdia page for pole splitting: http://en.wikipedia.org/wiki/Pole_splitting. However, I'm having a bit of trouble understanding the equation about halfway down that relates the load output to the amplifier input, Vl/Vi. Where does the...
  24. E

    Would one weigh more on the equator or on the North Pole?

    Hello, just wondering if you could apply Fg=mg to this. So the gravitational forces on the equator versus on the North Pole would differ and therefore, you would weigh more on the North Pole. According to what I found, the the gravitational acceleration is 9.78 m/s2 at the equator and 9.83 m/s2...
  25. T

    What is the magnetic field strength on Earth's surface at either pole?

    Homework Statement What is the magnetic field strength on Earth's surface at either pole? Earth's magnetic dipole moment is D_0 What is the magnetic field strength on Earth's surface at either pole? B = ____ G Homework Equations _u = NIA ; N is the number of turns I is current, A...
  26. Mk

    Calculate radius of earth using a pole

    Homework Statement **12. A physicist plants a vertical pole at the waterline on the shore of a calm lake. When she stands next to the pole, its top is at eye level, 175 cm above the waterline. She then rows across the lake and walks along the waterline on the opposite shore until she is so far...
  27. G

    Magnetizing a small Alnico 5 pole piece

    I'm mainly looking for some practical guidance here. I'd like to build an electromagnet coil that's capable of magnetizing fresh Alnico V (unmagnetized) pole pieces for use in electric guitar pickups. The maximum pole piece size I need to accommodate is 0.195" in diameter and 0.710" in...
  28. D

    Circular motion with respect to south pole

    Homework Statement The south pole of the circular motion is labeled "O" and it's the center of the xOy axes. The point leaves "O" to the right increasing it's positional vector(\bar{}r) dimension and the \alpha angle (the angle is between the positional vector and the Ox axis). The force that...
  29. T

    What would be the consequences of a magnetic pole shift?

    What would be the potential consequences posed by a shift of the Earth's magnetic poles? I know this has happened many times before in Earth's several Billion year history. Hypothetically, what would happen if there was a shift tomorrow?
  30. G

    North pole and south pole of a magnet.

    Hi, I am wondering what determines where these are on a magnetic object. For instance, on a sphere, why should there be a north pole and south pole at points rather than others. To make myself clearer, I am not asking why the south and north are opposite each other, but what determines those...
  31. D

    Procedure to test pole and its order

    Homework Statement I have a query - regarding the procedure to test pole. As attached. pse find. so, z is not a pole but a Removable Singularity? NEXT, if z is not a pole (which is true for above) - no point testing for the order of the pole right? Homework Equations The...
  32. S

    Designing a Pole Climbing Robot for Mechanical Engineering

    Pole Climbing Robot, Please Help!? Hi, I have been given a project for Mechanical Engineering 1st year. We have been given no ideas and I cannot go to the lecturers for any help and I do not have any previous knowledge even on the basics. Guidlines are as follows:"Design an robot capable of...
  33. S

    Pole Climbing Robot Design: 5m Height, 5 Bricks Load, 30s Wait Time

    Pole Climbing Robot, Please Help!? Hi, I have been given a project for Mechanical Engineering 1st year. We have been given no ideas and I cannot go to the lecturers for any help and I do not have any previous knowledge even on the basics. Guidlines are as follows:"Design an robot capable of...
  34. N

    Identifying Pole Order to the Test for Pole Procedure

    Homework Statement Test for pole procedure. As attached powerpoint. Pse advise. Homework Equations The Attempt at a Solution
  35. H

    Pole Vaulting (This should be interesting)

    Homework Statement At the top of a pole vault, an athlete actually can do work pushing on the pole before releasing it. Suppose the pushing force that the pole exerts back on the athlete is given by F(x) = (160N/M )x - (180n/m^2 )x^2 acting over a distance of 0.24m. How much work is done...
  36. J

    Flux density of solenoid beyond the pole

    I’m making a solenoid and I’m trying to work out how much force it exerts on an object X meters away from it. I’m using F=BIL to get the force but I don’t know the equation for getting the magnetic flux density of the solenoid other than B=(uNI)/L but that’s just for the centre and I need it for...
  37. V

    A pole, 2 lightyears in length - conceptual question

    A pole in zero gravity, two light years in length you push it 1m, does it move instantly at the other end? - its in my physics textbook but dosen't give an explanation as to why it dosen't move? i know nothing can move faster the speed of light
  38. Z

    Geomagnetic reversal and pole shift

    im having a hard time finding any reputable information or scientific backing to support the theory that our magnetic field will reverse and/or shift anytime soon. also would this mean that the equator areas would remain almost the same as before in terms of magnetic field?
  39. R

    How Close Are We to Reaching the Landau Pole in QED?

    Has the energy scale (or cutoff) at which the electric charge goes to infinity (the landau pole) been calculated? I sometimes hear that QED has been probed to tiny distance scales, and I was curious how far away we are until we get to distances corresponding to the Landau pole, after which we...
  40. P

    What if there was a pole, whose length was the circumference of the Earth?

    Imagine a strange event: I've asked this question so many times, but have never received a clear cut answer: Let's say that you had a pole, one that you were holding up vertically, that had the length of the circumference of the Earth (24,901.55 miles). Let's just pretend that, although the...
  41. C

    Exploring the Possibilities: LHC Contained at the North Pole

    what would happen if the north pole was contained within the loop of the lhc at cern? the lhc at maximum speed can make a particle complete 7 loops in a second. the Earth rotates once every 24 hours. if the lhc was set up so the particle was made to move in the opposite direction to the...
  42. R

    Seeking Stable Orbit: Investigating a Rigid Pole in Space

    Here's a thought that was bugging me last night: Lets say you placed a very long rigid pole (jokes kept to a minimum please) into orbit so that one end (end #1) faced the center of the earth, and the other (end #2) pointed out into space (So that the center of the Earth and all the points on...
  43. B

    F(z) = [1-cosh(z)] / z^3. its pole, order & residue

    [b]1. Show that f(z) = [1 - cosh(z)] / z3 has a pole as its singular point. Determine its order m & find the residue B. [b]2. lim |f(z)| tends to \infty as z tends to singular point bm + bm+1(z-z0)+...+ b1(z-z0)m-1 + \sum^{\infty}_{n = 0}an(z-z0)n= (z-z0) m f(z) [b]3. f(z) = [1...
  44. Z

    Can Alnico Magnets Undergo Pole Reversal with a Magnetizer?

    An cylindrical alnico magnet is 1/2 inch diameter and 1 inch long. It is magnetized through its length. I realize that this magnet can be magnitized over and over again. But can the poles be reversed if subjected to a machine that magnetizes and de-magnitezes magnets? Also, where can one...
  45. B

    North and south pole in an electromagnet

    Not sure if this should be in engineering or physics section. Sorry if I got it wrong. How do I determine the north and south pole in an electromagnet? Do electromagnets have a constant N or S pole? I am making a locking device where a neo magnet will hold a lid down tightly by sticking...
  46. T

    Life-saving 'Pole' for Cliff-edge drop

    My own weird idea I thought of about a year ago. Be interested to see the answers... A longish strong pole (about 2 metres) could theoretically save a life if someone used it when jumping from a cliff edge. It would be used just before they hit the ground to decelerate themseves more gently...
  47. E

    One question about the stability and pole location

    I have a question related to that is explained on the textbook Sedra & Smith. for a pole at s=a+bj,say, 1/(s-a-bj) why can we have the time domain of the signal to be exp(at+jbt)? It is strange because s=jw, so Re(s)=0 <a ,which leads to the solution to be -exp(-at-bjt)u(-t), so that...
  48. O

    How to figure the tension on a pole used for a zip line?

    I am looking all over to try and find out how to figure out the tension that would be on each of the poles used for a zip line I am trying to build in my back yard. I would like to build it so that it can support a 300lbs person. I am not very good with math so if someone would be willing to...
  49. L

    Solving the Pole and Residue at a for f

    Im getting really bugged by this question: Let g and h be analytic in the open disc \{z \in \mathbb{C} : |z-a| < r \}, r>0and let f(z)=\frac{g(z)}{h(z)} if g(a) \neq 0, h(a)=0, h'(a) \neq 0 show that f has a pole at z=a and find the corresponding residue of f at a. Now I initially...
  50. T

    Modificaition in pole and barn paradox

    In the pole and barn paradox, if the observer (person A) closes the both doors simultaneusly (with respect to himself), when he sees the runner's stick (person B) is just inside and keeps it closed forever after that, how will things happen, will the runner be traped or the door will hit the...
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