What is Angles: Definition and 905 Discussions

The Angles (Old English: Ængle, Engle; Latin: Angli; German: Angeln) were one of the main Germanic peoples who settled in Great Britain in the post-Roman period. They founded several kingdoms of the Heptarchy in Anglo-Saxon England, and their name is the root of the name England ("land of Ængle"). According to Tacitus, writing before their move to Britain, Angles lived alongside Langobards and Semnones in historical regions of Schleswig and Holstein, which are today part of southern Denmark and northern Germany (Schleswig-Holstein).

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  1. A

    Calculating Central Angles in Satellite Orbits

    Not quite sure how central angles ended up in a PreCalc class, but oh well. Okay so, I'm given this picture And this information: A satellite is in orbit 2000 kilometers above the Earth. It is scheduled to pass directly over a tracking station at noon. The satellite takes 2 hours to make...
  2. K

    What is the uniqueness of Euler angles?

    Hi.. The wikipedia article on euler angles claims that the Euler angles in zxz convention are unique if we constrain the range they are allowed to take (except in the case of the gimbal lock). This seems reasonable. But can someone give me a reference... a book or a paper where this is...
  3. R

    Robotics Yaw Pitch Roll Euler Angles

    I have multiple robot cells that i would like to move fixtures from robot to robot with the out come of the part to be perfect. in order to do that i need to make sure my work object is in the same spot each time. so i need to find the yaw pitch and roll and convert them into Euler angles. On...
  4. I

    How Do You Calculate Displacement Angles?

    URGENT HELP needed on Displacement Angles Due tomorrow Edit: with the help of second poster, I was able to solve it out. Btw I got 15 meters west and 11.34 meters south for the second one
  5. mnb96

    Obvious question on angles and solid-angles

    "obvious" question on angles and solid-angles Hello, I have found in http://www.cg.tuwien.ac.at/hostings/cescg/CESCG97/csebfalvi/node2.html" an important statement about solid angles. Namely, the differential solid angle d\omega is related to an oriented differential surface area dA placed at...
  6. T

    Polyhedron Face Angles: Intuitive & Rigorous Explanation for Beginners

    What is the easiest way to see that, in a regular polyhedron, the sum of the face angles about each vertex is less than 2π? This seems elementary, but I truly have very little background in geometry. Preliminary searches on PF and Google/Wikipedia didn't turn up anything substantial aside from...
  7. T

    Finding the Tangent of an Angle Between Vectors Using the Dot Product

    Homework Statement At one instant ,ships X and y are at a distance of d from each other.THe velocities of ship x and ship y are u and v respectively. Angle a and b are acute. Find the tangent of angle betweeen the direction of relative velocity and \vec{XY} Homework Equations The...
  8. L

    Rotation matrix for azimuth and zenith angles

    I have a shape with spherical coordinate (r, theta, phi) which I can convert to Cartesian. I want to apply rotation to the shape by incrementing theta & phi. I figured out the matrix for rotating azimuth angle is { {cos(theta), -sin(theta), 0} {sin(theta), cos(theta), 0} { 0, 0, 1} } How...
  9. T

    Finding Components of Rotated Ellipsoid using Euler Angles

    Hello guys, I'm trying to find an algorithm to solve an overlap problem between many polyhedra in space, so here this question appears. Imagine an Ellipsoid rotated by Euler angles in 3D space. This Ellipsoid could be characterised by its 3 radii Rx,Ry and Rz, and by 3 Euler angles in...
  10. I

    Projectile Motion Angles Question

    Homework Statement A fire hose held near the ground shoots water at a speed of 6.8m/s. At what angle(s) should the nozzle point in order that the water land 2.0m away? Why are there two different angles? Homework Equations v = v(initial) +at x = x(initial) + v(initial)t + .5at^2...
  11. S

    Why does the angle in polar coordinates only vary from 0 to pi?

    I'm doing work on polar coordinates in double integrals. Could someone explain why when circles aren't centered on the origin the angle only varies from (if it is translated above the origin) 0 to pi. I thought the angle was supposed to be the angle in the circle, so if its a full circle then 0...
  12. A

    Angle Between Vectors AXB & A+B: None of Above

    what is the angle between vectors AXB and A+B? 1> 90 degree 2> 180 degree 3> 60 degree 4> none of above
  13. L

    Inscribed Angles: Solve Geometry Problems Easily

    Ive been out of school cause i was sick and am in geometry and got some of my work, its on inscribed angles in circles and since i missed the lecture i have no idea how to do it, I am not asking anyone to explain it to me cause i probly won't understand in words, but if anyone knows any videos...
  14. L

    Comparing Aluminum & Copper Deflection Angles

    Homework Statement The Shear modulus for aluminum and copper are 25GPa and 35GPa, respectively. An aluminum and copper pole, both the same length are subjected to the same shear force at the top of each pole, bending each pole a different angle y. Which pole has a higher angle of deflection...
  15. K

    Why Do Cosine and Sine Give Different Angles for the Same Vector?

    Homework Statement Find the magnitude of a and the smallest positive angle theta from the positive x-axis to the vector OP that corrosponds to a. a= (3,-3) Homework Equations a1 = ||a|| * cos theta a2 = ||a|| * sin theta 3. The Attempt at a Solution ||a|| = \sqrt{}(9+9) =...
  16. W

    Component vectors positive or negative and angles positive or negative

    Homework Statement A cruise ship leaving port, travels 50.0 km 45.0 degrees north of west and then 70.0 km 30 degrees north of east. Find a. The ship's displacement vector (the answer is Rx=25.3 km, Ry=70.4) b. The displacement vector's magnitude and direction...
  17. M

    Help with compound angle formulae (exact value) for angles over 120 degrees?

    1. I don't understand coumpound angle formulae, for example sin(x+y), sin(x-y) etc. I'm supposed to solve using angles in the special triangles--so I use angles like 45, 30, 60, or those angles converted into radians--and add them to get the answer. For example: sin15 would be solved using...
  18. R

    Trig solve for all angles x problem

    Homework Statement Sin(x)+sin(2x)+sin(x)*Cos(2x)+sin(2x)*cos(x)=0 Solve for all angles x.Homework Equations Sin(2x)= 2sin(x)*cos(x) The Attempt at a Solution Not really sure what to do. I noticed that i could maybe factor out Sin(x), but i do not really know if that is right. I seem to be...
  19. A

    Finding angles between vectors

    Homework Statement I have two related questions related because they both ask to find angles between vectors. The first one says to determine the angles between the sides of a parallelogram determined by the vectors OA = (3,2,-6) and OB = (-6,6,-2). The second one asks to determine...
  20. O

    Dynamics - sled up a hill with several angles?

    Homework Statement A boy drags his sled of 90.0N at a constant speed up a 18 degree hill. He pulls with a 40.0N force on a rope which is 35 degrees above the horizontal. a) What is coefficient of kinetic friction between the sled and the snow? Homework Equations Coefficieint = Force...
  21. L

    How do u convert relative angle to absolute angles?

    ie: in the figure theta 3 i got i want theta 2 what formula would i use
  22. C

    Calculating Critical Angles for Sliding Blocks on Ramps

    Homework Statement No specific question. How would one find the critical angle of a ramp given the mass of the block sliding down it and the mu between ramp and block? It's not a single question but something my teacher explained that i didn't understand. Homework Equations F=(mu)mg F=ma I'm...
  23. Hemmer

    Finding angles in a four sided room

    This is a little problem that I encountered while trying to measure the floor plan of an irregularly shaped reverberation chamber. I have measured the length of the four walls (all of different lengths). However I didn't measure the angles at the corners (which are in general not 90°), thinking...
  24. P

    Circuits: phase angles and its effects on maxium current

    Homework Statement Circuit -------------------------------------------------------------------------------- In the circuit shown, the AC voltage source supplies an rms voltage of 147 V at frequency f. The circuit has R = 109 Ω, XL = 212 Ω, and XC = 106 Ω...
  25. I

    Calculating Magnetic Force on a Moving Particle

    Homework Statement A particle with a charge of −2.50×10-8 C is moving with an instantaneous velocity of magnitude 40.0 km/sec in the xy-plane at an angle of 50.0° counterclockwise from the +x axis. 1) What is the magnitude of the force exerted on this particle by a magnetic field with...
  26. B

    Find the angles in a tension on 2 ropes problem

    Homework Statement A 4.50 kg block of gruyere cheese is suspended as shown. Rope 1 on the left has a tension of 28.3 N; rope 2 on the right has a tension of 40.5 N. (a) What is θ1, the angle made by rope 1? (b) What is θ2? State each angle as the positive angle "inside" the triangle the ropes...
  27. M

    Crate on a slope - Angles and Tension

    Homework Statement A large empty crate, with its lid in place, has a 9.50 kg mass hanging from a string attached to the center of the lid. If the crate were sitting (at rest) on a flat surface, the string would simply hang straight down such that the mass would not be touching the floor of...
  28. J

    Area of quadrilateral knowing 3 sides and 2 angles

    Homework Statement Is there an equation in which I can find the area of a quadrilateral when I know the length of three of the sides and 2 of the angles? Also I really need to find the measurement of the other two angles. Homework Equations I know the cos and sin formulas of...
  29. L

    There's a chopstick on my hand. I need to find the 'angles'.

    Homework Statement Known: - Mass of the chopstick - Gravity Homework Equations So the alpha(angular acceleration) can be found The Attempt at a Solution By knowing angular acceleration, I successfully wrote a program that simulate a chopstick falling onto my hand. But all of...
  30. 3

    Solving for Tension & Angles in Ball Mass Problem: Help Needed!

    http://ruliweb6.nate.com:8080/ruliboard/gup/img_link7/436/435945_1.jpg Ball A B Mass m 2m Length of tread is 2R where R is the radious of the Circle. I have to find the tension on the tread and angles I could have found the angles by assuming...
  31. N

    Can the angles of a quadrilateral be determined with known side lengths?

    If the lengths of all 4 sides of a quadrilateral are known, and none of the sides have equal lengths, is it possible to find any of the angles somehow?
  32. T

    Solve Trig Problem: 0.15kg Mass w/ Wall & Lift @ 65° Angle

    A mass 0.15kg sits in a corner between a vertical wall and a lift, that makes an angle of 65° with the wall. The only force acting on the mass is its weight (W), its normal reaction (Nr) from the lift and its normal reaction (Nw) from the wall. The mag of the acceleration due to gravity to be g...
  33. W

    Combination of 3 springs at given angles

    Three springs of spring constant kare connected to a body of mass m and rigid supports, so that the angles are A 90 degrees between two and 135 degrees between each of these two and the third. B 120 degrees between any 2 adjacent ones. Find time period of vibration. I worked out a...
  34. M

    Finding Angles A and B for Triangular Fire Spotting

    [b]1. Two towers A and B are 18.5 miles apart. The bearing from A to B is N65E. A fire is spotted by ranger at both towers. Its bearing from A and B are N28e and N16.5W. This makes a triangle with A and B and C the fire. Can anyone give me a clue and finding angles A and B?[b]2. a/sin A = b/sin...
  35. P

    Graphing a vector with component angles?

    At the end of a problem (I'm sure I did all the math correctly, that's not an issue) I'm supposed to graph the corresponding resultant vector. However, along with the magnitude of the vector, the angles given are in component form: θx, θy, θz. I've never encountered this before, and although it...
  36. C

    Euler's Angles for Rotating a Cube

    Homework Statement What are the Euler's angles corresponding to the rotations of a cube in \theta radians around each of its principal axes around the x: \theta=\theta \phi=\psi=0 around z:\psi=\theta=0 \phi=\theta around y:\phi=\theta=\theta \psi=-\theta is it correct...
  37. B

    Calculate Angles on a Sphere: Quick Question

    Hi guys. Quick question that i am having trouble with, how do I calculate the angles between 3 points on a sphere? This is not for homework purposes, i am merely curious. Thanks in advance.
  38. N

    Euler angles of rotation about x=y=z

    What would be the euler angles of rotation 2pi/3 about the line x=y=z? If something were in the xy plane and it underwent that rotation, would it end up in the yz plane?
  39. J

    Placements of vector diagrams and angles in 2-D collisions

    Homework Statement Regarding two-dimensional collisions, I just don't understand why my book suddenly changes vector positions and theta angles at different places than what I was accustomed to. I understand that they're getting me to think by changing questions and answers, but I'm confused...
  40. T

    Converting angles in to degree to angles in radians

    Homework Statement Convert the following angles in degree to angles in radians: 15° 60° 80° Homework Equations Now i know that 2 ti c = 360° And that 6.28 c = 360° The Attempt at a Solution I just can't quite get my head around it, what calculation should...
  41. S

    Hoolomorphic functions stretching angles

    Homework Statement If z0 is a critical point of f(z), and m is the smallest integer such that f(m)(z0)=!= 0, then the mapping given by f multiples angles at z0 by a factor of m. Hint: Taylor's Theorem Homework Equations The Attempt at a Solution I don't even know where to...
  42. 1

    Prove the angles equal to prove the sides triangle problem

    This is an mensurational problem of triangles. Homework Statement In triangle ABC, anngle B=90degrees and D is the mid point of AC .If AB=20 cm and Bd=14.5cm,find the area and perimeter of the triangle ABC. My book says that BD=AD=DC=> AC=2BD=29 and so on But i can't get how could they...
  43. jegues

    Vector product and angles

    Homework Statement Two vectors lie their tails at the same point. When the angle between them is increased by 20 degrees the magnitude of their vector product doubles. The original angle between them was about _____ ? Homework Equations \overline{a}\bullet\overline{b} = |\overline{a}|...
  44. M

    Concept of 3 balls falling from building at different angles

    If a ball is thrown upwards, another straight out, and another downwards, which will reach the ground with the highest velocity? After thinking about this for a while my conclusion is that they all will have the same velocity since they all have the same initial gravitational potential energy...
  45. S

    Momentum & Angles Homework: Find Total Momentum

    Homework Statement A golf ball of mass 0.045 kg is moving in the +x-direction with a speed of 6.10 m/s, and a baseball of mass 0.145 kg is moving in the -y-direction with a speed of 2.20 m/s. What are the magnitude and direction of the total momentum of the system consisting of the two...
  46. A

    Angles in Two-Dimensional Elastic Collision

    Homework Statement The setup is there are two pucks (m1, m2) on an air table and they undergo elastic collision while m2 is stationary. I am asked to find the angle between the two velocities but I can't figure out how without being giving at least one angle. Variables: m1 = 28.0 g = 0.28...
  47. S

    Calculating mass from angles and all sides of vector triangle

    Homework Statement the attachment is a drawing of what was given/what i have already found the mass and weight are the only things i have to find and i can't find any equations that will help me figure this out
  48. R

    Cross product and the angles of a prallelogram

    Cross product and the angles of a prallelogram's diameters Homework Statement With the help of cross product prove: if the angle between the diameters of a parallelogram is 90 degrees, then the parallelogram is a rectangular. Homework Equations A\timesB=(surface of the parallelogram)...
  49. C

    Maximizing Strength: Smaller Angles in Guy Wires

    Why is a smaller angle better than a larger angle for a guy wire?
  50. J

    What is the Angular Dependence of Electron Scattering?

    hi, here's the problem: imagine a heavy nucleus and an electron approaching it with some momentum pi. it scatters elastically off the nucleus at some angle \theta and momentum pf. the nucleus can be considered to remain at rest, since it is so massive. I have to start with the definition...
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