What is Angles: Definition and 907 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. B

    Electric force angles problem

    Electric force angles problem :( Homework Statement Three positive particles of charges 11.0 µC are located at the corners of an equilateral triangle of side d = 14.0 cm (Fig. 16-38). Calculate the magnitude and direction of the net force on each particle. Fig. 16-38 Homework Equations F =...
  2. B

    What is the Relationship Between Angles and Dimensions?

    Three Dimensional Angles?!? ok, this is a stretch. I have an idea. If there are angles, measured in units of 1/360th of a circle. what happens when you add the third dimension factor. I thought it would be somehow measured in units of like the area of a sphere divided by 360^2 maybe. The...
  3. manjuvenamma

    Vector of magnitude m making angles alpha, beta and gamma with i,j,k

    Many of us have seen how to find a vector satisfying the following conditions (i) magnitude is m (ii) makes angles alpha, beta and gamma with i,j,k vectors i.e. unit vectors along x,y and z axes. My question is can the angles be taken arbitrarily or they should satisfy some condition like...
  4. K

    Trisectible angles | divisibility

    1) We know that if \theta is trisectible (with straightedge and compass), then \theta/3 is constructible. But is it also true that if \theta/3 is constructible, then \theta is trisectible (with straightedge and compass)? If so, then I can say that since 15o is constructible, we have that...
  5. P

    How to draw the angles to find force

    Homework Statement http://img150.imageshack.us/my.php?image=toottzx0.png Homework Equations I have the picture and everything but i just need help with the angles. Like i am a bit confused about how to draw the angles and stuff please help. The Attempt at a Solution
  6. T

    Projectile motion question with angles and velocity

    Homework Statement Joe Carter hit a fly ball during the spring training. It just cleared a 10m high vertical fence on the way down at 45 degrees as shown and struck the level ground 8m beyond the fence. Calculate the speed of the ball when it left his bat at ground level (start and end...
  7. A

    HW: Newton's Second Law and Angles

    [SOLVED] HW: Newton's Second Law and Angles Homework Statement The system shown in the figure can be used to measure the acceleration of the system. An observer riding on the platform measures the angle (theta) that the thread supporting the light all makes with the vertical. There is no...
  8. P

    Calculating Roll & Pitch Angles with Accelerometer Data

    Hi, I'm new to the forum. I have a 3 axis accelerometer that I am trying to obtain roll and pitch from. Besides the accelerometer itself, I was provided the raw data values of what each axis will report when it has 0g being applied to it and when it has 1g being applied to it. Using this I...
  9. P

    Solving for Initial Velocity: When Angles, Distances are Given

    Homework Statement how can you find the initial velocity if the angle, horizontal distance and the vertical distance is given?Homework Equations The Attempt at a Solution every equation i use gives me a different answer so i have no clue which one is correct
  10. J

    Simple Vector Sum Problem But My Calculated Angles Weird

    [SOLVED] Simple Vector Sum Problem... But My Calculated Angles Weird... Homework Statement A car travels 210 m [N32°E] and then travels 37 m [S51°W]. How far is the car from the origin? Homework Equations Cosine Law. C^2=A^2+B^2-2(A)(B)(CosC) Sine Law. C/CosC=A/CosA The...
  11. M

    How would I find the 2 unknown angles ? :P

    Thanks.
  12. E

    Proving Triangle Angles Equation: cos^2 A + cos^2 B + cos^2 C + 2*cosA*cosB*cosC

    Homework Statement I need to prove the following equation: cos^2 A + cos^2 B + cos^2 C + 2*cosA*cosB*cosC = 1 where A,B,C are the angles of a triangle Homework Equations A+B+C = 180 The Attempt at a Solution I substituted the sum of A,B,C into the equation, and now I have something...
  13. E

    Is there a pattern to determine which angles will create a cyclic sequence?

    [SOLVED] Cyclic Sequence of Angles Fix an angle \theta. Let n be a positive integer and define \theta_n = n\theta \bmod 2\pi. The sequence \theta_1, \theta_2, \ldots is cyclic if if it starts repeating itself at some point, i.e. the sequence has the form \theta_1, \ldots, \theta_k, \theta_1...
  14. C

    Angles from the positive x-axis

    Homework Statement In the problem sin-1 is 59.1. I have to give it from the positive x axis. Homework Equations The Attempt at a Solution Would it be 360-59.1? or 180-59.1? Thank you very much
  15. X

    Angles and forces/normal force

    [SOLVED] Angles and forces/normal force... 1. A car coasts (engine off) up a 30 degree grade. If the speed of the car is 25 m/s at the bottom of the grade, what is the distance traveled by the car before it comes to rest? 2. Umm...I have no idea what equations are used in this problem. I...
  16. J

    Find Angles for Weight of 605 N

    [SOLVED] Force problem, need help Homework Statement Consider the 605 N weight held by two cables. The left-hand cable had tension 450 N and makes an angle of θ2 with the ceiling. The right-hand cable had tension 470 N and makes an angle of θ1 with the ceiling. What are the angles θ1 and θ2...
  17. M

    Can someone explain Euler angles?

    Can someone explain "Euler" angles? From what I read, "Euler" rotations are composed out of matrices like * * 0 1 0 0 * * 0 * * 0 0 * * * * 0 0 0 1 0 * * 0 0 1 which is pretty distinctive in that they rotate around same axis twice, and makes sense for devices like this...
  18. 3

    Calculating Cable Angles for Suspended Beam

    I have a beam suspended by two cables with two weights suspended by the beam. The weight of the beam is negligible. How would I find the resting angles of the cables.
  19. A

    Find the angles of refraction for these two colors.

    Homework Statement The index of Refraction for a diamond for red light, 656 nm, is 2.410, while that for blue light, 434 nm, is 2.450. Suppose white light is incident on the diamond at 30.0 Degrees. Find the angles of refraction for these two colors. Homework Equations sinr/sini = n2/n1 =...
  20. S

    Sum of Tangents Squared of Odd Angles

    \tan^2{(1^\circ)}+\tan^2{(3^\circ)}+\tan^2{(5^\circ)}+\ldots+\tan^2{(89^\circ)}
  21. R

    Finding Angle of Refraction with Given Angles

    does anybody know formula for finding angle of refraction with given angles of incidence in the medium and the angle of refraction?
  22. I

    Understanding Relativistic Angles in Space

    Please help me understand better A person in space is moving in a flying saucer along the x-direction at (3/4)*c relative to Mars, shoots a laser pulse to another observer. The laser barrel gun makes 60o with the x-direction in the rest frame of the spaceship. At what angle, according...
  23. M

    Proof of Parallelogram Theorem: 2 Pairs of Opposite Angles Congruent

    Proof of parallelogram theorem "If 2 pairs of opposite angles congruent, then par..." I was just wondering, why exactly does "If 2 pairs of opposite angles congruent" prove that a quadrilateral is a parallelogram? Does it have something to do with the fact that the sum of the interiors equals...
  24. N

    Tennis ball diffraction angles

    Homework Statement Quantum effects are negligible in "macroscopic" world. Show than on example. A tennis ball with speed 0.5 m/s is thrown thru a window. Dimensions of a window are 1*1.5 m. Calculate vertical and horizontal diffraction angles. Homework Equations \lambda=h/p...
  25. L

    Complimentary Angles In Archery

    Howdy Eevrybody! I'm starting research into an idea that struck me rather suddenly (but with no lasting injuries), while reading Shakespeare's Henry V. At the battle of Agingcourt, the English had the advantage of a standoff weapon, the Welsh longbow. I fell to wondering whether they might...
  26. H

    Translation of euler angles into rotation around arbitrary axis

    i have an orientation of a 3d object in space given by theeta, si and phi i.e. angles which the objects makes with respect to three axis. Now i want to translate the problem such that i get an arbitrary axis rotation about which to some calculated degrees would produce same orientation...
  27. H

    Bond Angles for Different Molecules - Can Someone Help Me Understand Them?

    CF4 is it 109.5 degrees for the angle NH3 109.5 degrees for this angle SO4^2- 109.5 for this angle NH4+ 109.5 degrees for this angle H2S 180 degrees for this angle PO4^3- 109.5 degrees for this angle HCl 180 degrees for this angle NF3 190.5 SiH4 190.5 BF3 190.5 C2H6 190.5 C2H4...
  28. M

    Trig - Double Angles Questions,

    Trig - Double Angles Questions, Please Help! please close, solved all my problems myself...
  29. S

    Solving a Crane Jib Problem with Tension and Angles

    Homework Statement A crane with jib AB, 7m long. Centre of gravity 3m from A, inclined at 30 degrees to the vertical. The horizontal tie is attached at C, 5m from A. If the mass of the jib is 200kg and the load at B is 600kg, what is the tension in the tie...
  30. T

    How to Calculate Angles Between Crystal Planes Using Miller Indices?

    i want the formula of Angles Between crystal Planes by knowning the information of Miller Indices of that planes? please help me
  31. J

    Measuring Angles in 360 Degrees: A Scientific Approach

    Hi all, This is a weird question, I want to measure angles in terms of 360 degrees and not 180. The two lines will share a common point such that Line A ends at the point where Line B begins. In order to do this don't you need to define some sort of "standard" so that you can know...
  32. B

    Mountain climber - center of gravity, tension, angles

    Homework Statement A mountain climber is rappelling down a vertical wall (the figure below ). The rope attaches to a buckle strapped to the climber's waist 15 cm to the right of his center of gravity. If the climber weighs 770 N, find (a) the tension in the rope and (b) the magnitude and...
  33. P

    Calculating Forces for Angles of 30, 45 & 60

    Homework Statement angles of 30, 45, 60. calculate weight of block, the normal force, and net force for each angle separately. Homework Equations normal force m*g*sin theta net force m*g*cos theta The Attempt at a Solution weight of block is just 20 kg, right? and so for 30...
  34. rocomath

    I'm blind when it comes to angles

    did i set up my force diagram right? my teacher gave us soln's but i think there's an error. also, could i get advice on how to approach determining how to place the angles correctly in the diagram, I'm blind. thanks! http://img136.imageshack.us/img136/5711/angleqg6.jpg
  35. S

    Finding Angles for Conic Section

    I have a hyperbola with the following equation and I am trying to find my angles to eventually rotate this (conic section), but I don't know what to do because when I follow the standard form of (A-C)/B, I get zero. Is there some trick that I don't know about. x^2+4xy+y^2=12
  36. L

    Finding Angle of Vectors in 2D Space

    Homework Statement What is the y-component of a vector in the x-y plane whose magnitude is 86.4 and whose x-component is 62.3? 59.9 Homework Equations a^2 + b^2 = c^2 Sin-1= Vy/|v| The Attempt at a Solution a^2 + b^2 = c^2 And 59.9 was right for that, but i used Sin-1= Vy/|v|...
  37. C

    Simplifying Core 3 Compound Angles

    Hi. Could someone please tell me the method to use to simplify cosBcosB + sinBsinB? Any help would be really appreciated. Thank you. Cathy
  38. T

    Combining 3D Angles: A Quaternions Solution?

    Hi all, I'm trying to 'add' two angles in 3D spherical coords. The problem is easy enough in 2D polar coords. You just add Angle A to Angle B (both in the Z plane of course). However, there doesn't seem to be an easy 3D equivalent. Let's use this example: Point A is: Rot x: 0 (degrees)...
  39. H

    Tension and Angles of Frame on Wall

    Homework Statement A frame hung against a wall is suspended by two wires attached to its upper corners. If the two wires make the same angle with the vertical, what must this angle be if the tension in each wire is equal to 0.75 of the weight of the frame? (Neglect any friction between the...
  40. J

    Relative Velocities with angles

    Homework Statement A dolphin wants to swim directly back to its home bay, which is 0.79 km due west. It can swim at a speed of 4.14 m/s relative to the water, but a uniform water current flows with speed 2.93 m/s in the southeast direction. (a) What direction should the dolphin head...
  41. C

    FindingTension, Dissimilar Angles.

    I'd just like to say that even lurking this forum is a great help to users. (: Homework Statement http://img260.imageshack.us/img260/5679/scan001001cz9.jpg Homework Equations I'm assuming, since this is all I've had to work with for weeks, trig. relationships such as: SIN, COS, TAN and...
  42. A

    Some more angles and refraction a little twist this time

    Homework Statement An underwater diver sees the sun 50 degrees above horizontal. How high is the sun above the horizon to a fisherman in a boat above the diver? Homework Equations n΄sinθ΄ = n¹sinθ¹ or, if that is confusing, n1sinθ1 = n2sinθ2 The Attempt at a Solution I...
  43. A

    Calculating Angle of Refraction for Light Passing Through Water and Glass

    Homework Statement A 1.0-cm-thick layer of water stands on a horizontal slab of glass. A light ray in the air is incident on the water 60 degrees from the normal. What is the ray's direction of travel in the glass? Homework Equations n΄sinθ΄ = n¹sinθ¹ or, if that is confusing, n1sinθ1 =...
  44. P

    Angle Addition Formula for three angles?

    Homework Statement How do I find, sin\left(\alpha - \beta + \gamma\right) = ? Homework Equations sin\left(\alpha\pm\beta\right) = sin\alpha{\textcolor[rgb]{1.00,1.00,1.00}{.}}cos\beta \pm cos\alpha{\textcolor[rgb]{1.00,1.00,1.00}{.}}sin\beta and...
  45. E

    Electric Flux through Planar Surfaces

    Homework Statement The drawing shows an edge-on view of two planar surfaces that intersect and are mutually perpendicular. Surface 1 has an area of 1.2 m², while surface 2 has an area of 3.5 m². The electric field E in the drawing is uniform and has a magnitude of 246 N/C. Image...
  46. G

    Trig equations with multiple angles

    Homework Statement What I'm scratching my head with is trying to find mechanically, a way of finding all the solutions of the expression sin(a \theta ) - sin(b \theta) = 0 (where a and b are integers (for now) with a > b) Homework Equations I can get the roots that are regular rotations...
  47. C

    How Do You Calculate Trigonometric Ratios for Angles in Standard Position?

    Homework Statement 1) If the point (-4, 2) lies on the terminal arm of an angle θ in standard position, determine the exact value of csc θ. 2) If sec θ = -5/3 and angle θ terminates in quadrant III, which point must be on the terminal side of θ? 3) If cos θ = 5/13, where θ is in quadrant VI...
  48. M

    Solid angles and position vectors

    I've already posted this question in the math section, but since I got no reply I'll try it here (sorry for the cross-posting). I'm using solid angles to define directions of objects moving from the centre of the sphere towards all points in the space around, which means I divides the (4pi)...
  49. A

    Finding Side Lengths of a Triangle Given Angles & Side a

    A triangle has an angle A=35 degrees and an angle B=40 degress and side a=3680 meters. What are the lengths of sides b&c?
  50. P

    Solving for Tensions with Different Angles

    Homework Statement A climber is suspended between two cliffs and is closer to the left cliff. The left part of the rope makes an angle of 65 to the cliff and the right part an angle of 80 to the cliff. The climber weighs 535N. Homework Equations Trigonometry... The Attempt at...
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