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. K

    Angles in a Static Equilibrium

    Homework Statement I have 3 masses (Fα, Fβ & Fg) with 2 pulleys, and a wind variable which is in static equilibrium. I have already calculated the appropriate forces for the 3 masses by multiplying it with 9.81m/s² (gravity). Fwind = 60N Fα = 313.9N Fβ = 619N Fg = 882.9N I'm required to find...
  2. tony873004

    Angle vs Time Graph: What is it Called?

    I once saw a graph of angle vs time. In order to avoid a big shift in the graph when the angle crossed over from 359 degrees to 1 degree, this graph was circular, with time along the radius of the circle. Is there a name for this type of graph?
  3. Mr. Rho

    Mathematica Rotation of 3D Plot using Euler angles

    So, I'm trying to plot a 3D "dipole" (an arrow with a small torus around it basically) in mathematica, and want to rotate it according to Euler angles... I use this code for the rotation matrix: rot[a, b, g] := RotationMatrix[g, {1, 0, 0}].RotationMatrix[b, {0, 1, 0}].RotationMatrix[a, {0, 0...
  4. C

    Calculating Forces and Angles in a Model Plane System

    Homework Statement A motorised model plane is attached to a light string anchored to a ceiling. The plane follows a circular path of radius 0∙35 m as shown in Figure 2. The plane has a mass of 0∙20 kg and moves with a constant angular velocity of 6∙0 rad s−1 . (a) Calculate the central force...
  5. C

    Throwing a Ball and determining possible angles.

    A man throws a ball horizontally with an initial speed of 20 m/s. Determine the two possible angles theta 1 and theta 2 of release so that the ball strikes point B. The distance between the man and point B is 15 meters. The initial height of the ball is 1.25 meters. Answer: Theta 1 = 5.8...
  6. M

    Euler angles in latitude longitude space

    In most physics introductions Euler angles(pitch, roll, yaw) are defined with respect to Cartesian coordinate system. If I chose not to use a Cartersian coordinate system but instead use a latitude, longitude and a proprietary vertical coordinate(and no back transformations to Cartersian...
  7. B

    Does the angles of incidence affect speed in glass

    I understand that the refractive index of different materials affects the speed of light but does light change speed in glass when entering from air at different angles of incidence?? if not what causes the variation in lateral displacement?
  8. F

    Show particles are scattered at right angles in the CM frame

    Homework Statement Suppose that in a fixed-target proton-proton collision, the two protons are scattered with equal energies at equal angles θ/2 to the beam. Show that in the CM frame, this implies they are scattered at right angles to the direction of the beam. Calculate the energy and...
  9. S

    Why are dimensions always at right angles?

    I asked my teacher , i didnt get any satisfactory answers , can u tell me why dimensions are always at right angles .
  10. Matejxx1

    Trigonometric equations (finding angles)

    Homework Statement ok so my professor gave me this problem to solve, it goes like this :(I will also have a picture below) In the square (ABCD) is a point P which divides the side BC into 2 halves and point R which divides the side CD into 2 halves The angles at APB and ARB are the same...
  11. Dave Ritche

    Problem understanding negative angles....

    I'm having problem understanding why negative angle of cosine is a positive value but negative of sine is a negative sine angle?why is this so?can someone please help me with this confusion? Thanks in advance!COS(-angle)=COS(angle) Sin(-angle)=-Sine(Angle)
  12. V

    Finding velocity of elastic collision with angles

    Homework Statement A red ball and blue ball are sliding on a frictionless surface, each ball has a mass of 40g. They collide in an elastic collision. Initially the red one is at rest and the blue one is traveling in the x direction with a speed of 4 m/s. After the collision the blue one is...
  13. 9

    Finding roll, pitch and yaw angles

    Homework Statement I have three angles that relate the sensory body frame to the Earth centered Earth fixed frame: roll_ecef, pitch_ecef, yaw_ecef I have the longitude and latitude. Find the roll, pitch and yaw angles that relate the sensor body frame to the local North East Down frame...
  14. H

    Coefficient of friction different for different angles.

    I am having my students do a lab to calculate the coefficient of static friction along a ramp. They are calculating the coefficient of static friction between felt and the table to be something like 0.40, yet when i did this lab, but along a horizontal surface, and not with a ramp, i get a...
  15. RJLiberator

    Qubit Probabilities and Angles between the measurements

    Homework Statement Suppose that two measurements are made on a qubit in rapid succession. The first is δz and the second is δn. Suppose the first results is always +1. Calculate the probabilities of obtaining the results +/- 1 for the second measurement in terms of the angle θ between z and n...
  16. E

    Wave reflection and refraction, relations between angles

    Hello! This post is strictly related to my previous one. Let's consider the same context and the same image. Regarding the oblique incidence of a wave upon an interface between two dielectric, all the texts and all the lectures write an equation like the following: e^{-j k_1 y \sin \theta_i} +...
  17. L

    Work & Energy: Forces with Angles

    Homework Statement A student could either push or pull, at an angle of 30 degrees from the horizontal, a 40kg crate, where the coefficient of kinetic friction is .21. The crate is moved 18m. Calculate the minimum work for pushing and pulling. Homework Equations W=F•(change in)X•cos(angle in...
  18. H

    MHB Calculating angles for a physical regular icosahedron

    This is actually for a wood shop project... but it certainly involves geometry! I am trying to build a real-world regular icosahedron. I know I need 20 equilateral triangles for the faces. But I do not know what the angles of the sides/thickness should be, to join those 20 triangles into a 3D...
  19. M

    The number of lines making equal angles with Co-ordinate axes is ?

    Please explain it.
  20. T

    Finding angles of a parallelogram.

    Homework Statement This question has popped up recently and I was completely stumped. How to find the angles of a parallelogram given only area and the length of the diagonals? I'm trying to find a generic solution or formula that works for a non-rhombus. Homework EquationsThe Attempt at a...
  21. M

    MHB Product of distance and angles

    Hey! :o I am looking at the following exercise: Consider the ellipse $$\frac{x^2}{p^2}+\frac{y^2}{q^2}=1$$ where $p > q > 0$. The eccentricity of the ellipse is $\epsilon =\sqrt{1-\frac{q^2}{p^2}}$ and the points $(\pm \epsilon p, 0)$ on the $x$-axis are called the foci of the ellipse, which...
  22. P

    Inelastic collision Two angles and final velocities

    Homework Statement Consider an inelastic collision between two blocks on a horizontal plane. Block M1 is moving with velocity Vo and collides with block M2 which is at rest. During the collision a fraction Q of the original kinetic energy is lost. It is observed that M1 is deflected by an angle...
  23. 3

    Finding angle and altitude using distance and time?

    Homework Statement I need an equation for a physics project, and I'm not sure which to use. I am given the distance and time variables, however I don't have the angle or altitude they are looking for. Which equation do I need to use? Homework Equations Velocity related equations? fab five...
  24. B

    Determining Precisely Which Angles of a Triangle Are Congruent

    Hello, Suppose that I have two triangles ##\bigtriangleup ABC## and ##\bigtriangleup XYZ## that are known to be congruent by the side-side-side axiom, from which it follows that the parts are also congruent, such as the angles. My question is, how do I determine which of the three angles of...
  25. D

    K-Factor Tables for Sheetmetal: Materials & Angles

    hi everybody, I'm looking for tables of k-factor (sheetmetal) for different materials and different angels.
  26. G

    Do observables for polarizers at different angles commute?

    Hi. We can write a polarised photon as ##\left|\alpha\right\rangle=\cos(\alpha)\left|\updownarrow\right\rangle+\sin(\alpha)\left|\leftrightarrow\right\rangle##. Trigonometry gives us $$\left\langle\alpha | \beta\right\rangle=\cos(\alpha)\cos(\beta)+\sin(\alpha)\sin(\beta)=\cos(\alpha-\beta)$$...
  27. A

    MHB Can triangles with the same side lengths have different angles?

    △ABC has side lengths 4, 4, and 7. Is there another triangle with the same side lengths but different angles? I get a lot of questions like these, and I don't know how to judge whether or not they are true or false. Drawing them on paper doesn't always help me either, but I do try to - to get a...
  28. C

    Angles between sides of triangle ABC and unit vectors

    I was going through this link -...
  29. kostoglotov

    Impulse problem: how can these two angles be different?

    Homework Statement A baseball weighing 140g is traveling to the right at 35 m/s, makes contact with a baseball bat, and then leaves the bat at 55 m/s to the left at an angle 25 degrees from the horizontal. I got the right answer, I how how the solution works mathematically. The answer is...
  30. R

    Why do the face diagonals have different angles?

    Homework Statement Find the angle of the face diagonals of a (unit) cube. I agree with this solution, but I have a problem with another face diagonal: the face diagonal from the angle (0,0,1),(0,0,0), and (1,1,1). Homework Equations dot product cos-1(a.b/ (|a||b|) The Attempt at a Solution...
  31. P

    Negative angles (and much more)

    How does one prove ##\sin{(x+y)} = \sin{x} \cos{y} + \cos{x} \sin{y}## for all real ##x## and ##y## (not just for ##[0, \frac{\pi}{2}]##? Almost every "geometric proof" I see for formulas like the one I mentioned above, or results such as ##\lim_{x \rightarrow 0} \frac{\sin{x}}{x} = 1##, places...
  32. E

    Impact of air resistance at varying angles

    I recently read that the impact of air resistance on the horizontal range increases as the launch angle increases (http://moodle.davidson.edu/moodle2/pluginfile.php/121168/mod_resource/content/2/Brancozio%20fly-ball%20paper.pdf). A graph depicting this is attached. Is there a reason for why this...
  33. C

    3D Coordinate transformation and Euler Angles

    Hello, I'm running a galaxy formation simulation. The output specifies the coordinates in (x, y, z) of all the particles in a galaxy, which usually fall in a disk. The orientation of the disk depends on the initial conditions, but it is generally not aligned with any of the coordinate axes...
  34. astrololo

    Horn angles and Euclid's elements

    We have the following statement by Euclid : "I say further that the angle of the semicircle contained by the straight line BA and the circumference CHA is greater than any acute rectilinear angle, and the remaining angle contained by the circumference CHA and the straight line AE is less than...
  35. Saracen Rue

    Can an isosceles triangle have 3 equal angles?

    Okay, I know I must sound like a complete idiot here, but please bear with me. I've come across a scenario in which I have triangle ECF. Angle ECF = 60 degrees, Angles CEF and CFE are unknown, lengths EC and FC are unknown and equal and length EF is r√3 and not equal to lengths EC and FC I...
  36. T

    Coterminal Angles: Negatives in Radians Explained

    I've got my final test in trig coming up, and the one thing that I simply cannot get a handle on are, coterminal angles, specifically ones where you find coterminal angles for a negative angle, in my class they are mostly done in radians. I understand how to get all the angles of a positive...
  37. B

    Equilibrium Process for Calculating Tension in a Tight-Rope Walker's Wire

    Homework Statement A 60 kg tight-rope walker carries a long beam with a mass of 30 kg across a 10 m long wire. When she is at the centre of the wire (i.e. 5 m across), each section of the wire makes an angle of 5° to the horizontal. Assuming that the mass of the wire is negligible, calculate...
  38. L

    Relative Body Angles of a Human Moving Through Space

    Homework Statement Say a human is moving through space with constant acceleration due to gravity. There are no external forces/torques on the body other than the force of gravity. The person applies an internal torque at some joint, let's say the knees, so that they bend. Assume the rest of the...
  39. F

    How to check a statement about orbital angles of exoplanets?

    Hi, everybody. Mi name is Fabio Onier Osorio Pelaez and I'm from Colombia. I hope to be finishing my Bachelor´s degree in Physics at University of Antioquia by next August. I'm doing my final project on the detection of planets by the Radial Velocity technique and I have a question about an...
  40. L

    Question about sine values for angles 0-180

    So my math teacher told me that as long as an angle is less than 90 degrees. The sine value of that angle will also be equal to 180 subtracted by that angle. Why is it this way? I just don't understand why it is true spesifically for sine values. Is there are a way to compare this to triangles...
  41. S

    Pucks colliding at right angles

    Homework Statement Two pucks are moving on a frictionless air table are about to collide. The 1.5 kg puck is moving directly east at 2.0 m/s. The 4.0 Kg puck is moving directly north at 1.0m/s. What is the total kinetic energy of the two-puck system before the collision? A. Square root of 13 J...
  42. mooncrater

    Calculating X-M-X Angles in MX6 with Octahedral Geometry | P&C Method Explained

    Homework Statement The question says: Find the number of X-M-X angles in MX6, which has an octahedral geometry. Homework Equations None The Attempt at a Solution To do this question , I used p&c . Since there are 6 X in MX6 and we have to choose two of them . Therefore total number of M-X-M...
  43. thegirl

    Rutherford Scattering model geometry

    Hi, I was just wondering if someone could help clarify how pi - theta = phi? That is the link to the youtube video I was watching, the guys pretty good check him out if you want to learn how to derive the differential scattering cross section.
  44. L

    Determine building height by viewing angles

    You live in the building on the left in the drawing, and a friend lives in the other building. The two of you are having a discussion about the heights of the buildings, and your friend claims that his building is half again as tall as yours. To resolve the issue you climb to the roof of your...
  45. Q

    Direction cosine matrix of rolling disk on circular ring

    Hey all, I'm stuck on this problem and not sure how to proceed/if I'm in the right direction. Problem: One reference frame N sits at the origin (inertial frame) while another frame, B, describes a disk rolling on a circular ring about the other frame. Picture below (A) find the direction...
  46. C

    How to calculate the angles that define the position your arm is in

    I have 3 points ##S##, ##E##, and ##W## each with ##x##, ##y##, and ##z## positions. ##S## is always at ##[1,1,1]## ##S## is connected to ##E##, and ##E## is connected to ##W## by a line. I want to calculate the azimuth and polar angles between ##E## and the vertical, and the azimuth and...
  47. Ryan Lau

    Did I Solve the Vertical Post Problem Correctly Using SOH CAH TOA?

    Homework Statement A vertical post is held in place by two cables as shown. Homework Equations SOH CAH TOA The Attempt at a Solution http://postimg.org/image/6rgssb1j5/ The answer in the textbook is 63 degrees. Is this an issue or did I do something terribly wrong?
  48. E

    Find two angles where the directional derivative is 1 at p0

    1. Given a function f(x,y) at (x0,y0). Find the two angles the directional derivative makes with the x-axis, where the directional derivative is 1. The angles lie in (-pi,pi]. 2. f(x,y) = sec(pi/14)*sqrt(x^2 + y^2) p0 = (6,6) 3. I use the relation D_u = grad(f) * u, where u is the...
  49. A

    What is the notation for angular distance travelled?

    What is the notation for the angular distance traveled by an object moving in circular motion? s is for regular distance (m,ft,inches, etc.). What I want is some x to be the distance in either degrees or radians. How should I call that x?
  50. K

    Organic chemistry hybridization and bond angles

    Homework Statement Determine the hybridization of the atoms labeled A, B and C in the molecule and the bond angles around them. Homework Equations N/A 3. The Attempt at a Solution A. Normally, I would say it is sp3 for oxygen since there are 4 groups attached to it including the lone...
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