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

    3 forces act in equilibrium, calculate their angles

    I have 3 forces, I assume that the resultant is equilibrium, that is just a guess. a - 12N b - 5N c - 13N how do i calculate the angles between the forces. I think I have to use the cosine rule but am not really sure. I have a book Physics made Simple but it doesn't really help Alan
  2. Barnak

    Random angles on the interval [0, 2Pi]

    Using Mathematica, I need to define a discrete probability distribution of N equally spaced angles on the interval [0, 2Pi], which isn't exactly uniform. More precisely, I need the distribution to feature a "Poisson-like" behavior : the angles should be randomly selected by random "packs"...
  3. N

    What are the mathematical concepts used to describe angles in three dimensions?

    We usually describe angles in two dimensions (x and y plane). What is the mathematics behind three dimensions?
  4. J

    2D collision, both angles given, both final velocities unknown.

    I'm trying to figure out what formula to get started in this question: A 7kg bowling ball moving with a velocity of 8 m/s strikes a single pin of mass 1.36kg. The impact deflects the bowling ball 10 degrees from it's original path. The pin moves along a path 45 degrees from the original path...
  5. D

    Maximizing angles for lines coming out of a point

    I'm working on a programming project, and I've got this problem I don't really know how to describe or approach. Given a point and a number of lines extending from the point, I want to find the best angle (in 3d) to maximize the distances between the lines. The 2D equivalent would be to simply...
  6. I

    Solving for Range of Angles & Max Height of Dog Jump

    Homework Statement The question is as following: a) A dog in a stunt takes a jump off a rook which is 40 m high above the ground and lands on the next building which is of the same height , the gap between the two buildings is 6m @ the velocity of 8 m/s .Find the range of angles at which he...
  7. J

    Projectile Motion Problems Involving angles

    There are two problems involving projectile motion and angles I am having problems with Homework Statement You are watching an archery tournament when you start wondering how fast an arrow is shot from the bow. Remembering your physics, you ask one of the archers to shoot an arrow parallel...
  8. S

    Find angles between two rope and the ceiling

    ***Excuse the pluralization error in the title*** Homework Statement I attached a picture below...Homework Equations sin^2(theta)+cos^2(theta)=1 a^2+b^2=c^2 Vector properties Trig identities The Attempt at a SolutionI am familiar with trig identities and vector properties, but I can't...
  9. W

    Tension, Angles, Forces Problem

    Homework Statement Two crewmen pull a boat through a lock, as shown in Figure 5-25. One crewman pulls with a force of F1 = 115 N at an angle of θ = 36° relative to the forward direction of the raft. The second crewman, on the opposite side of the lock, pulls at an angle of 45°. With what force...
  10. E

    Bragg Angles + Thermal Expansion

    Homework Statement A crystal is heated from 0 to 100 degrees celcius, its lattice parameter 'a' increases by 0.17% due to thermal expansion. if we observe an x-ray reflection at a bragg angle theta= 19.3 degrees at 0 degrees celcius, by how much will theta change when the sample is heated to...
  11. B

    Angles within a spherical triangle

    Hi Guys, need some assistance. I am sure what I am asking is trivial but i still need help. How could i find the angle within a spherical triangle (triangle formed on a sphere). Now this triangle has equal lengths on all 3 sides. Pleas help!
  12. J

    Vectors and angles word problem

    A snow-covered ski slope makes an angle of θslope = 29.0° with the horizontal. When a ski jumper plummets onto the hill, a parcel of splashed snow is thrown up to a maximum displacement of 1.70 m at θsnow = 19.0° from the vertical in the uphill direction as shown in the figure below. (a)...
  13. I

    Magnitude and angles of a force

    Homework Statement a force is given by F= 20i - 60j + 90k N. Find its magnitude and the angles it forms with the coordinate axis. Homework Equations F = magnitude of F times the unit vector magnitude is square root (Fx squared + Fy squared + Fz squared) and the unit vector can be...
  14. M

    De Moivres formula for multiple angles. Where does the sinus go?

    Hi! Yesterday i read and mostly understood that (cos(\theta) + isin(\theta)^{n} = (cos(n\theta) + isin(n\theta)
  15. H

    Mathematical approximations in Physics for angles <20 degrees

    Homework Statement 62. In physics, it is important to use mathematical approximations. (a) Demonstrate that for small angles (<20°) tan a ~ sin a ~ a = (Pia'/180 degrees) where a is in radians and a' is in degrees. (b) Use a calculator to find the largest angle for which tan a may...
  16. H

    Projectile motion questiondon't understand about angles and vectors

    Homework Statement Giancoli 5th edition chapter 3 problem 38 a rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge 235m below the plane is traveling horizontally with a speed of 69.4m/s b) supposes, instead that the plane releases the supplies a horizontal...
  17. B

    Want to measure 2 different angles and make a calculation

    i have a project where I need to measure 2 different angles and then take those 2 measurements and compute a final number. I was thinking about using inclinometers to do the measuring of the angles but am really stuck on what hardware/software to use. I was hoping to find something that is...
  18. F

    Normal contact force with angles

    Homework Statement A small smooth ring R, of mass 0.6 kg, is threaded on a light inextensible string. One end of the string is attached to the fixed point A and the other end is attached to a ring B, of mass 0.2 kg, which is threaded on a fixed rough horizontal wire which passes through A...
  19. D

    The relation between frictional forces and their angles.

    Should I expect a frictional force to get bigger or smaller as an angle is increased?
  20. M

    Measuring Bond Angles in Molecules

    How can the bond angle in a molecules are measured ? The methods used to measure the angles and length b/w bonds.
  21. S

    Angular tilt from a x/y angles

    Hi, I have to measure a object as it goes up a incline. I have both X and Y angles, which is fine if the object travels perfectly up or down a incline. What I cannot figure out, is if the object travels (for lack of a better term) diagonally up a incline, how to figure out its total...
  22. S

    Calculating angles between matrices

    Hey all, I was hoping someone could explain to me how to calculate the angle between matrices, ie. two square matrices [ 2 0 0 -1] and [0 1 1 3^(1/2)] under the inner product <A|B> = trace (A^TB) Also, how would you go about determining an angle between...
  23. S

    Eddy currents for measurement of twist angles

    hey, could someone tell me if it is possible to measure the angle of twist of a rigid shaft subjected to a torsional moment at one end by using eddy current testing?
  24. R

    Are Angles Relative? - Physics Thought Experiment

    2 ships, A and C are traveling on a parallel course, separated by some distance x. As their velocity is constant, I could say that they share an inertial frame of reference, or in other words are at rest wrt to each other. Their clocks have also been synchronised and I will assume for this...
  25. S

    Dihedral angles for expanded icosidodecahedron.

    I am trying to determine two dihedral angles for this polyhedron: http://georgehart.com/virtual-polyhedra/vrml/zonish-6-icosidodecahedron.wrl 1. The angle between a pentagon and a square? 2. The angle between a square and a triangle? This polyhedron is formed by adding squares...
  26. D

    Relationship Between Triangles and Straight Angles

    My girlfriend is re-learning geometry. She has noticed that the sum of the angles of a triangle is equal to the measure of a straight angle and half the measure of a full revolution. She wants me to ask if there is any special relationship between a triangle and a straight angle or between a...
  27. A

    Solving Collisions with angles problem

    First off, i'd like to note that this isn't homework, and I've seen other threads in here that deal with question/equation/problems, so I hope this isn't against the rules. I found this on a practice physics test online. I'm just using it for the benefit of my knowledge, nothing more. I can...
  28. J

    Understanding Parallax Angles in Astronomy: Explained with a Diagram

    Homework Statement Can someone please explain to me how parallax works? I don't understand how the angle of parallax is measured Question to help: Astronomers measuring the parallax angle to Planet X found that the angle measured after 6 months was 1.52 arcsec different from the initial...
  29. C

    Calculating Crane Height from Angles

    To calculate the height of a crane which is on top of a building, dennis measures the angle of elevation to the bottom and the top of the crane. these were 62 degrees and 68 degrees respectively. if the building is 42 metres high find the height of the crane. I'm asking for a friend, excuse...
  30. R

    Most Efficient way to solve for Euler Angles

    Hi guys, could you please help me out? Essentially, a laser is pointing at a certain point in 3 dimensional space. There is a fixed target that the laser is specifically supposed to point to. My job is to find the most efficient way to solve for the euler angles(yaw pitch and roll) in order...
  31. AJKing

    Finding Angles after Perfectly Elastic Collisions

    Homework Statement A 0.045kg Steel marble collides obliquely with an identical stationary marble, and continues at 55 degrees to its original direction. The collision is perfectly elastic. What is the angle between the direction taken of the target (previously static) ball and the original...
  32. S

    Trig proof with two angles and many functions

    Homework Statement Prove: cotAcotB=(cscB+cotA)/(tanAsecB+tanB) Homework Equations cotx=1/tanx, etc. I tried using pythagorean identities, like 1+cot2x=csc2x, and others, but I've been unable to solve the problem. The Attempt at a Solution Please help me out. The examples in my...
  33. N

    Can the escape velocity be achieved at any angle?

    So I looked at a neat derivation for what the minimun escape velocity is, and It was pretty clever. Because this is conserved: KE + PE = 1/2 *mv^2 + -GMm/r You can find what the velocity would have to be to get to infinity with zero velocity 1/2 *mvesc^2 + -GMm/r = 1/2 *m(0)^2 +...
  34. B

    Help Solving Vectors with Angles - Newbie in Physics

    Hello, first timer here. not sure if this should be in physics section or not.. anywayss I have this question, 2-4 that i have to do for homework but i can't seem to set up the vectors in the correct way to solve b/c the axis/angles are really throwing me off. I'm new at this trying to learn...
  35. E

    AC Nodal Analysis Adding source phase angles AFTER calculation?

    Just to clarify the title... Basically for the below circuit we are required to find Vth, Rth and Vo. However, the method of solving this problem is a little strange to me, because as you can see, the source has a phase angle of 30 degrees. The solution to this problem basically says (to find...
  36. A

    The origin of degree scale in angles

    A student showed me a problem, this week, it was: What is the number of regular polygons whose intern angle is an integer number? I used the equation i=180 (n-2)/n, where i is the internal angle of the polygon and n is the number of the sides of the polygon. After some trials, i got to the...
  37. M

    Solving for Cosine & Sine Sum/Difference of Two Angles: Confusing?

    I have yet to see or understand the benefit of knowing the cosine and sine sum and difference of two angles identity... can someone please explain why you would want to break up one angle into two angles... then solve from there... does not make sense to me... just use a calculator.
  38. M

    Calculating Euler Angles from Two Frames of Reference

    Fairly straight forward question. If you have a set of three vectors specifying a frame of reference and a second set of 3 vectors stating another frame of reference. How do you get the Euler angles associated with that rotation? More generally I am considering the relative orientation of one...
  39. T

    Deflection angles of photons passing by black holes

    In trying to compute deflection angles for photons given their impact parameter (closest distance of trajectory to centre of black hole if unaffected) I am trying to numerically integrate the following equation (d^2/d(phi)^2)(u)+u=3Mu^2. However I am stuck as to how to work out the initial...
  40. A

    How where all the possible tangents, cosines, and sines of angles found?

    How where all the possible tangents, cosines, and sines of angles found?
  41. T

    Rigid Rotor: Finding Angles

    Homework Statement I am trying to find the angles (theta, phi) it is most probable to find the rigid rotor for the spherical harmonic m=1, l=1 Homework Equations The equation given is Y = (3/8pi)1/2*sin(theta)*ei*phi The Attempt at a Solution I have tried to solve it by...
  42. J

    Solid angles and Cross sections

    Homework Statement A thin (1mg/cm^2) target of 48-Ca is bombarded with a 10-nA bean of alpha particles. A detector, subtending a solid angle of 2E-3 steradians, records 15 protons per second. If the angular distribution is isotropic, determine the total cross section, in mb, for the reaction...
  43. R

    Resultant Force of Two Horses Pulling Barge: 1.25 x 103N

    Two horses on opposite sides of a narrow stream are pulling a barge along the stream. Each horse pulls with a force of 720N. The ropes from the horses meet at a common point on the front of the barge. What is the resultant force exerted by the two horses if the angle between the rope is 60o...
  44. R

    Physics:roller coaster questions with loops, weight, and angles

    Homework Statement You are on a roller coaster ride, and enter the bottom of a loop of radius r moving at a velocity v0. You decide to measure your initial velocity v0 by using a simple bathroom scale and a little physics. As you go through the loop, the scale you are sitting on reads 5/2...
  45. D

    Prism Optics Range of Refraction Angles

    Homework Statement Equilateral triangle prism (angles all 60 degrees) made of crown glass. Index of refraction ranges from 1.486 for longest visible wavelengths to 1.556 for the shortest. What is range of refraction angles for the light transmitted into air through the right side of the...
  46. R

    Blade angles, Reaction, Diffusion

    I'm really confused about an in class example my professor did to show how to obtain the hub and tip degrees of reaction of a free-vortex compressor stage and the diffusion factor for the rotor tip Given: \frac{\Delta P_t}{\rho {W_0}^2}=0.9 \frac{r_t}{r_h}=2.646 ^{\circ}R_m=0.5...
  47. T

    Lift from airfoils, decrease lift as a result of curved shape at large angles?

    Hi, in my point of view lift is created as a result of two pressures, the static and the dynamic. The dynamic pressure is the dominating creator of lift at large angles of attack. For example a flat plane at 45 degrees will create lift. The static pressure is the dominating creator of...
  48. R

    Doppler Shift at Right Angles Confusion

    Hi, I'm reading "The First Three Minutes" by Steven Weinberg And am confused about this paragraph... "Astronomers are able to measure the motion of a luminous body in a direction directly along the line of sight much more accurately than they can measure its motion at right angles to...
  49. M

    Vectors, angles, cross product

    Homework Statement Two vectors A and B have magnitude A = 2.99 and B = 3.10. Their vector product is A X B = -4.98 k + 2.08 i . What is the angle between A and B? Homework Equations C= ABsinθ C=A X B The Attempt at a Solution θ= arcsin C/(⎮A⎮⎮B⎮) so i found the magnitude...
  50. O

    Linear Approximation of Angles

    Homework Statement A player located 18.1 ft from a basket launches a successful jump shot from a height of 10 ft (level with the rim of the basket), at an angle Θ = 34 degrees and initial velocity of v = 25 ft/s.A. Show that the distance s of the shot changes by approximately 0.255∆Θ ft if the...
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