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. Y

    What is the value of these angles ?

    i know that question is a little basic but i have no one to ask. for this image i think that the angle between the horizontal and the normal force that the semi-cylinder exert on the bar is is α - 90° Original Image for this one i think that the angle between the horizontal and the...
  2. K

    Vector with angles with axis (book wrong?)

    Homework Statement got a vector F (105,300,140) magnitude: 347.3 it wants the angles, 3 of them with the axis x y z Homework Equations all my calculations has lead to the wrong answer, but the correct answer is (180-myanswer) why is that? The Attempt at a Solution...
  3. N

    Can an Alien See Earth and Venus at the Same Time? | Vectors and Angles Homework

    Homework Statement From an alien spaceship Earth is in the direction (1, -8, -4) and Venus is in the direction (3, 12, 4). The average alien eye has a field of view of 5pi/6 radians. Without using arccos or calculating any exact angles, determine if the average one eyed alien on the spaceship...
  4. Newtons Apple

    Understanding the Relationship Between Sine Waves and Sine Angles?

    Hello everyone. Can someone explain the relationship between the idea of a sine wave, and the idea of a sine angle? I'm getting into trig, and I hear both terms of sin tossed around, but they seem to be completely unrelated. What does the angle of the triangle have to do with a wave? Same...
  5. Q

    Chemistry Bond Angles in Trigonal Bipyramidal Molecules

    Homework Statement What are the number of different bond angles for the isomer of F_{3}PCl_{2} with each chlorine equatorial? What about for the isomer of BrPF_{4} with the bromine axial? According to the key the the first molecule has 5 unique bond angles. Homework Equations Trigonal...
  6. skate_nerd

    MHB Polar and azimuthal angles

    Kind of just a general question...I took a theoretical physics class last semester and we went through this whole book "Div, Grad, Curl, and All That Vector Calculus". Now I'm in an upper division E&M class and we're using Griffith's "Intro to Electrodynamics". In my 3rd semester of calculus and...
  7. B

    MHB Understanding How to Solve Vector Magnitudes and Angles

    I just don't understand others way solving this problem to solve for the unknown magnitudes of the two vectors I have to sum up all of the components in x and y and set them equal zero and from there I'll get some systems of equation. I saw a method where they let the x-component of AB and BE...
  8. R

    MHB Find angles when circumference is divided into 5 unequal parts

    Hello, I am using a very old textbook from 1895, Loney's Trigonometry, which poses the following problem: If the circumference of a circle be divided into 5 parts, which are in A.P., and if the greatest part be 6 times the least, find in radians the magnitudes of the angles that the parts...
  9. T

    What are the possible values for the coordinate angles in 3-D space?

    [b]1. Homework Statement [/ In 3-D coordinate space, any two of the coordinate angles must … Select one: a. sum to less than 1 b. be greater than 90° but less than 180° c. each be greater than 45° d. sum to greater than 90° (if they are both less than 90°). e. have cosines less than...
  10. T

    Are 3D coordinate angles restricted to certain values?

    Homework Statement In 3d coordinate space any two of the coordinate angles must A. Sum to less than one B. Be greater than ninety but less than one eighty. C. Each be greater than forty five degrees D. Sum to greater than 90 ( if they are both less than 90) E. Have cosines less than...
  11. T

    Coordinate angles of three dimensional vectors

    Homework Statement If u know the value of two coordinate angles there is an ulimeted amount of possibility for finding the third coordinate angle A. True B. False Homework Equations The Attempt at a Solution I .not too sure about this one any suggestions would be appreciated I...
  12. S

    Right hand rule, vector and angles

    Homework Statement A particle with a unit charge enters a magnetic field B = i + j with velocity v = 17k . Find the magnitude and direction of the force on the particle. The Attempt at a Solution Had no issues finding the magnitude. However, when finding the direction of the force...
  13. anemone

    MHB Proving Triangle Angles Relation: $\frac{1}{\sin^2 \lambda}$

    Inside a triangle $ABC$, there is a point P satisfies $\angle PAB=\angle PBC=\angle PCA=\lambda$. If the angles of the triangle are denoted by $\alpha$, $\beta$ and $\gamma$, prove that $\dfrac{1}{\sin^2 \lambda}=\dfrac{1}{\sin^2 \alpha}+\dfrac{1}{\sin^2 \beta}+\dfrac{1}{\sin^2 \gamma}$
  14. J

    Is There a Geometric Interpretation for the Multiplication or Power of Angles?

    Exist an geometric interpretation for the multiplication of 2 angles? Or exist an geometric interpretation for the square/cube of an angle?
  15. D

    Understanding Angles: Vab, Vbc & Vca

    http://i60.tinypic.com/nmntpj.jpg How do you differ what angle for example Vab, Vbc, and Vca are? I notice the reference angle is always 0 degrees but how can you tell for the other two? Thanks in advance.
  16. N

    Prove there exists no combination of speed and angles

    Homework Statement Two projectiles are launched simultaneously from the same point, with different launch speeds and angles. Show that no combination of speeds and angles will permit them to land simultaneously and at the same point. The Attempt at a Solution I have a rough idea...
  17. N

    Horizontal range of 2 different angles

    Homework Statement Show that, for a given initial speed, te horizontal range of a projectile is the same for launch angles 45° +\alpha and 45° - \alpha The Attempt at a Solution x1 = vi cos (45° + \alpha) x2 = vi cos (45° - \alpha) tcomplete trajectory = 2 vi...
  18. N

    Ratio of flight times at angles 45degree +/- alpha

    Homework Statement Consider two projectiles launched on level ground with the same speed, at angles 45°\pm \alpha. Show that the ratio of their flight times is tan 45°\pm \alpha. The Attempt at a Solution projectile 1 launched at Θ = 45° + \alpha: vyf1 = vyi1 + gt tapex1 =...
  19. J

    Rotation Equations for 2 Angles: Combining Relationships for Easy Calculation

    Using http://www.mymathforum.com/download/file.php?id=6171 and writing the relationships: \vec{\rho}\;'=R^{-1}(\phi)\vec{\rho} \begin{bmatrix} r'\\ z'\\ \end{bmatrix} = \begin{bmatrix} cos(\phi) & sin(\phi)\\ -sin(\phi) & cos(\phi)\\ \end{bmatrix} \begin{bmatrix} r\\ z\\ \end{bmatrix} and...
  20. J

    Projectile Motion launch angles

    Homework Statement A projectile is fired in such a way that its maximum height is a factor of 4 times its horizontal range. Find the launch angle in degrees Homework Equations h_{max}=\frac{V^{2}_{0}sin^{2}\theta}{2g} Range=\frac{V^{2}_{0}sin2\theta}{g} The Attempt at a Solution...
  21. L

    Integrating Over Angles vs. Integrating Over a Surface: What's the Difference?

    Homework Statement Suppose I have a relation S(\theta, \phi) = U \frac{c}{2} \cos{^{2} \, \theta} and I want to integrate over \phi from 0 to 2 \pi and \theta from 0 to \frac{\pi}{2} . How do I do this double integral? Do I just do it normally (without any transformation), or do I...
  22. B

    Compound Angles Proof: Proven or Unproven?

    Hello, simple question. My textbook (Bostock and Chandler - Pure Mathematics 1) says something that really surprises me. The bolded part is what shocked me, it seems like such a trivial statement and intuitively true. My book was first published in 1978, so perhaps it is out of date. It...
  23. H

    Phase space and phase angles in a Quantum picture.

    Hi guys, I was hoping someone may be able to clear something up for me. I have been reading a paper on Quantum decoherence and was curious about what particular point (it could easily just be me misunderstanding) It is commonly noted that the superposition of waves represents all of the...
  24. C

    Proof of Angles: Does it Seem Correct?

    http://postimg.org/image/3mmlbro1p/ Hi, I just want to know if my proof seems ok. So we can begin with : 1 degrees = 1+1/9 grads we multiply by x to generalize x degrees= x+x/9 grads now, we take x degrees and multiply it by 60 minutes to know how many minutes it makes.We also do the same...
  25. Saitama

    MHB Intersection of line with ellipse - given difference of eccentric angles

    Problem: Find the condition so that the line px+qy=r intersects the ellipse $\displaystyle \frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ in points whose eccentric angles differ by $\frac{\pi}{4}$. Attempt: Let the points on ellipse be $(a\cos\theta,b\sin\theta)$ and...
  26. N

    Determine the angles between diffraction maxima

    Homework Statement microwave of wavelength 3 are incident to a row of parallel metal rods. The separation of the rods is 10cm. The first order diffraction is observed at 25° to the direction of the incident wave. Determine the angle between the first and the second order of diffraction maxima...
  27. B

    Trigonometry - Associated Acute Angles

    Hello, i'm doing some revision and working through the textbook my course follows and have a small problem. The question is an incomplete table of values for sinθ, cosθ, tanθ, \alpha and θ. I have to work out the blanks using what is given. I thought I knew the correct method of doing...
  28. T

    Solving for base angles in a congruent triangle

    Homework Statement Solving for base angles in a congruent triangle One of the base angles in a congruent triangle is 3x+5 The other base angle is unknown The remaining angle is x+16. Homework Equations See attached PDF The Attempt at a Solution Because two base angles in a...
  29. M

    I don't understand the ranges of the angles in spherical coordinates

    I'm not sure whether this falls in the homework category, or the standard calculus section, so apologies in advance if this doesn't fall in the right category. Homework Statement Evaluate ∫∫∫e^[(x^2 + y^2 + z^2)^3/2]dV, where the region is the unit ball x^2 + y^2 + z^2 ≤ 1. (or any...
  30. P

    Angle Relationships in Lightray Reflections

    Homework Statement It turns out there is a relation between angle a and angle b. I can't figure it out, could someone give me a hint? There's a lightray that is bouncing from two mirrors (m1 and m2). The angle between those two mirrors is called a. The angle between the incoming lightray l1...
  31. A

    Exploring Lone Pair Angles in H2O: Understanding VSEPR Theory

    Homework Statement What are the angles between lone pairs in H2O? I know that the bonds are separated by 109.5°. What about the lone pair angles? I googled everything. I found nothing. I cannot directly assume it is 109.5°... I have a basic knowledge of VSEPR.
  32. T

    Unknown lengths of triangle, known area and internal angles

    Homework Statement I know the area of a right angled triangle, I also know the ratio of the two non-hypotenuse sides. Is there anyway of finding the lengths? Thanks! Homework Equations I don't think there are any like Area = 1/2abSinC The Attempt at a Solution I obviously...
  33. Ascendant78

    Vector problem - solving x y z using angles between vector and axis

    Homework Statement Given that a vector has a magnitude of 6.0 units and makes an angle of 45° and 85° with the x and y axes, respectively, find the x and y components of this vector. Does the given information determine the z component? What can you say about the z component? Homework...
  34. G

    Finding Max Range With 2 Angles

    Homework Statement Today my teacher asked me "What are the best 2 angles to use when wanting to get maximum horizontal distance while on an elevated surface of 50m." As in Dx. What would these 2 angles have to be for the projectile to go the furthest distance horizontally and what would the...
  35. D

    Finding angles of Phi. Very challenging.

    1) Given: two ropes of negligible weight suspend an object weighing 50N from the ceiling There are two angles of PHI that form from as a measure from the vertical. PHI1 + PHI2= 60°. The tension of the left rope is given to be 80N and the tension of the left rope is given to be 70N. The entire...
  36. G

    Special Relativity: Angles in different Inertial Systems

    Homework Statement a) A light-source at rest in an inertial system S' is emitting light with angle θ' relative to the x'-axis. The System S' is moving at speed v (along the x-axis) relative to the laboratory system S. Show that the emitted light is making an angle θ with the x-axis of...
  37. G

    Analyzing Bell's inequality for different measurement angles

    Hi, I'm trying get a better understanding of Bell's inequality in the form $$\left|E\left(\bf{a},\bf{b}\right) -E\left(\bf{a},\bf{c}\right)\right|\leq 1+E\left(\bf{b},\bf{c}\right)\enspace.$$ I'm considering the Bell state $$\left|\psi\right\rangle=...
  38. R

    Why is a sling angle greater than 45° important in rigging?

    Was reading a book on rigging and it had this note that intrigued me: Ensure that the sling angle is always greater than 45° and preferably greater than 60°. When the horizontal distance between the attachment points on the load is less than the length of the shortest sling leg, then the...
  39. B

    Relating Light Angles in a High-Speed Reference Frame

    Homework Statement A space station observes a high-speed rocket passing by at speed β c in the +x direction. The rocket suddenly emits a light ray from a powerful laser. According to the space station, the light ray was emitted at an angle of θ with respect to the +x-axis. However, the...
  40. L

    Problem involving moment components and angles

    1 Gripper C of the industrial robot is accidentally subjected to a 60 lb side load directed perpendicular to BC (see attachment). The lengths of the robot's links are AB = 22 in and BC = 18 in. By using the moment components method, determine the moment of the force about the center of joint A...
  41. R

    Angles and load in Rope rescue

    Greetings; I am a firefighter so physics is pretty much Greek to me. I work primarily as a rope rescue/USAR tech. We work a lot with rope, pulley's, and anchor points. All of these systems have angles that affect the loading in our system. Now I been taught rules of thumb when constructing a...
  42. M

    Determine force angles so that acceleration is least

    Homework Statement Figure below is an overhead view of a 12kg particle that is to be pulled by three ropes. One force (F1, with magnitude 50N) is indicated. Orient the other two forces F2 and F3 so that the magnitude of the resulting acceleration of the particle is least, and find that...
  43. Saitama

    Spaceship ejecting mass at right angles

    Homework Statement A spaceship of mass ##m_0## moves in the absence of external forces with a constant velocity ##v_0##. To change the motion direction, a jet engine is switched on. It starts ejecting a gas jet with velocity u which is constant relative to the spaceship and directed at right...
  44. U

    Find the angles of the triangle

    Homework Statement Let a be a unit vector and b be a non-zero vector not parallel to a. Find the angles of the triangle, whose two sides are represented by the vectors √3(a x b) and b-(a.b)a Homework Equations The Attempt at a Solution The third side will be equal to \sqrt{3}(a \times...
  45. paulmdrdo1

    MHB Correspondence between Arc Lengths and Real Numbers in Trigonometry

    i'm kind of confused with what i read from my book in trig which says "there's a one to one correspondence between the length of all arcs in the Unit Circle and the set of real numbers." my understanding to this is that there's a corresponding real number to the length of all arcs of the unit...
  46. Ascendant78

    How to find derivative critical points that DON'T use ref. angles?

    Homework Statement I am trying to figure out how to solve for problems that give a function and ask for the critical points. However, the ones I am having difficulty with are the ones that have multiple trigonometric functions included in them.Homework Equations Find the critical points of the...
  47. K

    Confusing Solid And Plane Angles

    Confusing Solid And Plane Angles ! Supplementary Quantities - 1.Solid Angle - Steradian 2.Plane Angle - Radian Doubts - 1.What Is The Use Of Supplementary Quantities ? Physical Quantities Are Used To Measure For Example .. To Measure Length - m Current - ampere Etc... What Can I...
  48. K

    Do Front and Rear Axles Roll Differently in Independent Suspension Systems?

    I have done a fair bit of mathematical and 3D modelling of independent automotive suspension systems, and have come to the conclusion that the in pure steady state cornering no matter what the combination of springs, ARB/sway bars, motion ratios or linkage geometry, the roll angle (ignoring the...
  49. R

    Solar Panels: Improving performance at low sun angles

    I have a sailboat with 2 solar panels installed. They work well, except at the end of the season when the days are shorter, the nights are longer and the sun is lower, so I built a mechanism to tilt and rotate the panels so that they could be pointed directly at the sun. With low sun angles I...
  50. I

    Kinematics Min/Max angles of a projectile

    Homework Statement A football player attempts a 30m field goal. If he is able to impart a velocity u of 30 m/s to the ball,compute the minimum angle θ for which the ball will clear the crossbar of the goal. (Hint: Let m = tanθ .) Homework Equations V0x = V cosθ V0y = V sinθ We get t...
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