Angles Definition and 892 Threads

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...

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...

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...

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?

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...

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?

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...

Homework Statement Angle a is located in the second quadrant where sin a=2/5 and angle b is located in the third quadrant where tan b=3/4. Determine an exact value for cos(a+b) and where it is located. Homework Equations cos(a+b)=cosacosb+sinasinb The Attempt at a Solution I don't know what...

With the way our universe looks, different galaxies are angled in various ways from our perspective. What is the cause of this? My initial thoughts would be based on how spacetime is curved, or maybe it's because of the angle of rotation of the black hole at the center of those galaxies...

Just attempted another exam question. Would you mind correcting me if I am wrong? The question is A triangle ABC has sides of length AB= 3.5 m, BC = 5.1 m and AC = 4.2m. a) Calculate the size of the angle B and the size of the angle C, in degrees correct to 1 decimal place, in each case...

<< Moderator Note -- Dorea is an instructor asking about their physics lab >>[/color] The first experiment in our fundamental physics lab is "Measuring & Measurement errors". Currently we have four devices: - rule (0.5 mm) - Vernier Caliper (0.02 mm) - Micrometer (0.01 mm) - Spherometer We're...

Sorry for the confusing tittle but I could not explain it better. Here is what I am trying to ask: When you have 2 axis(x and y) such as the image below, the sum of the two angles, a and b will always be equal to 90 degrees. a + b = 90degrees However when you add a 3rd axis(x, y and z, making...

NOTE: I know the solution, but I challenge it. Specifically, I feel that the generally accepted solution to this problem is not intuitive. I have shown the accepted solution, and below that I have shown what I feel seems more intuitive (from a geometric standpoint)...

Hello I have this problem - From a generator, I get a compton scattering with the electrons theta and phi angles. where I having the following equations for a particle px = E_particle * sin (theta) * cos (phi); py = E_particle * sin (theta) * sin (phi); pz = E_particle * cos (theta)...

Homework Statement Find the equation of the horizontal components of two strings tied to a painting at 45 degree angles with the horizontal.Homework Equations Fnet = 0The Attempt at a Solution Since the painting is in equilibrium, I found that, in the horizontal direction, Fnet = 0 = S1x -...

Hello, I'm currently writing a high school academic paper on waterwheels. One of the things I want to find out is whether the angle of paddles of the undershot waterwheel affects the angular velocity. So here is my question: How do the different angles of the paddles in a waterwheel affect...

Problem statement: Two pucks of radius 0.05 meters collide as shown in attached picture. The mass of puck 1 is 0.1 kg and that of puck 2 is 0.15 kg. The initial velocities are v1i = 1 m/s and v2i= 0.6 m/s. (1) Assuming no friction between the pucks, only normal forces during collision, in...

how do you find friction force when applied force is at an angle, this is on a flat horizontal surface.

Homework Statement [/B] Solve optimization problem; A person is to skate up a hockey rink, in a straight line(parallel to both of the sides), from wherever they are standing. They are to shoot the puck into the net whenever they reach the point where the angle on the net is the largest. Need to...

Consider the hypothetical molecule 1,3,5-cyclohexatriene (not benzene, I am referring to a molecule where no resonance takes place - a molecule with three C=C bonds and 3 C-C bonds). Each carbon atom in this molecule would be participating in one double bond, and so each carbon atom would be sp2...

Mentor's note: this was originally posted in a non-homework forum, so it doesn't have the homework template. ------------------------------------Hey guys hoping you guys could help me with this A object (20g) moving horizontally at 100m/s embeds itself in the middle of a block of some wood...

Homework Statement A mass(A) of 12kg is on a slope with an angle of 30 degrees. The static coefficient of friction of the slope = 0.5 (μs) The kinetic coefficient of friction 0.3 The length of the slope from the block= 5m However the The mass(A) is connected to another mass(B) which is...

I've managed to get through all of this question without trouble until part d). The full question is given here: I've calculated the "true" angles of Star A and Star B as 71.57 degrees and 45 degrees respectively in Frame S, and the "light" angles should be the same, since the stars are...

Homework Statement A ships captain wishes to sail his ship north -east. A current is moving his ship with a velocity of 5.0km/h . If the ship has a maximum speed of 30 km/h what is the ships required heading? Homework Equations Cos angle=A/H The Attempt at a Solution Heading=cosine (5/30)...

Hi guys, I'm trying to find info with respect to twist angles of a turbine blade (for airplane engines, let's say)... I read somewhere on the forum that it's typically 0-20 degrees. I'm trying to look for quoted sources though or at least second opinions on that matter.

With the Methane structure of CH4 and an electron structure of Carbon as 1s22s22px12py1 and the electron structure of Hydrogen as 1s1 with P-orbitals separated by 90 degrees from each other and S-orbitals uniform spheres why aren't two of the Hydrogen atoms in a Methane molecule at 90 degree...

Homework Statement Hello, all. This here's the problem: Use the difference formula to solve for the exact value of tan(15°). Homework EquationsThe Attempt at a Solution I've solved it up until this point: I used the formula to get (tan(45°)-tan(30°)) / (1 + tan(45°)tan(30°)). (1 -...

I have two problems that I cannot seem to figure out. I already know the answers, but I want to know the process of how to complete them so I know for quizzes and tests. 1. Vector A is 3 units in length and points along the positive x-axis; vector B is 4 units in length and points along a...

Dear Friends! How can I find the minimum value of sum of cosine of angles between three unit vectors in three dimension space

Homework Statement In my statics book (13th ed. Hibbeler) I'm reviewing the section about using vector analysis to calculate the moment of a force about a specific axis. I understand the theory fine, but I don't completely understand the figure in the book (pic attached). Specifically, why are...

Ok so for this example you have to calculate the net torque about an axis that passes through the hinges in each of the following cases in the image: a) and c) were fairly straightforward to calculate but i had issues with b) and c). The solution listed the angle for b) as sin(115°) and for...

Hello! I have a problem in my calculus based physics class regarding vectors. The problem says: Vectors A and B have a scalar product -6.00 and their vector product has magnitude 9.00 what is the angle between these two vectors? Here is how I approached it: -6=|A||B|cos (theta) 9=|A||B|sin...

Hello, Preparing for a test, I've had to go through some very basic trigonometry and I've got to thinking why reference angles "work". I've gone through my study material and through another trigonometry book I have around the house and references angles are never proven, the theorem is just...

Consider two voltage phasors: V1 = 1 volt @ 50°, and V2 = 1 volt @ 30°. It follows then that the relative phase shift between these two phasors can be expressed by any of the four following descriptions in terms of leading and lagging angle relationships. 1.) V1 Leads V2 by 20° 2.)...

Homework Statement Specify the coordinate direction angle α,β,γ of F1. Homework Equations The Attempt at a Solution γ= 90-30 = 60 The only obvious one. I have no clue how I'm supposed to see what the other are. α seems to me like it's 320 degrees because if you rotate in the...

I can't seem to solve 7 cot 270° + 4 csc 90° I don't know whether I'm entering something in my calculator wrong (could've sworn I was doing it right earlier) or if there just isn't an answer. In my calculator, I enter 7/tan(270°)+4/sin(90°) and it gives me a domain error.

When the two polarizers are set 60 degrees apart, for example, QM prediction is 25% correlation. It is already different than what is believed to be classical or "expected" result. So what is the point of testing more than one angle in a single experiment? And what difference does it make when...

Homework Statement Hi all! I'm slightly confused about pendulums and simple harmonic motion. In my textbook, it says that a pendulum only exhibits simple harmonic motion when the angle is small (<10 degrees). I was wondering why this is, using equations if possible. Without the math, I think...

Homework Statement ABC is a triangle. The bisector of the exterior angle at B and the bisector of ∠C intersect each other at D. Then prove that ∠D=90°-(∠A/2) Homework Equations The Attempt at a Solution I guess I want to prove an untrue thing because by drawing a diagram and...

Homework Statement Light is incident on a glass prism with an angle of incidence of 54°. The light enters on the left hand side of a triangular prism with base angles of 80° and apex angle of 20°. (The 54° ray of incidence enters from the south west side of the prism, directed towards the...

Can you explain why the 3 angles in the picture are the same.

Someone please take a look at the attachment above. These two questions have me stumped and it ask on each question to find three missing angles. I don't even know where to start. Could someone be so kind and explain to me how to figure each of these. I need help with this asap to help my...

Hey guys, I need some more help for this problem set I've been working on. I'm doubting some of my answers and I'd appreciate some help. This is only for question 1. Ignore 2. Question: For the first one, drawing out the question clearly tells us that we are working with a 90 degree...

As I understand it, when you beam white light through a glass prism, light disperses and refracts. Red light refracts the least and violet light refracts the most. I am dying to know: why do different frequencies of light have different angles of refraction? Specifically, why is it that an...

Homework Statement Is it possible to determine all the angles in a triangle, if we only know the length of two sides?Homework Equations The Attempt at a Solution I was thinking for quite some time and I don't think it is possible. It probably is, if two sides are peprendicular but if not, I...

Hi, I am an orthopedic surgeon. Many of our long bones are anatomically curved. When they fracture they sometimes heal in a none perfect/anatomic position. How do one calculate the angle/curve or changed angle/curve of a fractured bone healed or fixed none anatomically Please see my drawn...

please help me to solve these problems, 1. how many degrees, minutes, and seconds are respectively passed over in $11\frac{1}{9}$ minutes by the hour and minute hands of a watch? 2. The number of degrees in one acute angle of a right-angled triangle is equal to the number of grades in the...

Trying the already known equation, sin^2(x) + cos^2(x) = 1 i wondered what would happen if i took that either sin(x) or cos(x) squared equalled a number greater than 1, so when i plugged in sin(x) as 5/3 i got cos(x) 4i/3 , went to euler's equation and added the results, then put the...

$QB$ and $RA$ are angle bisectors of the triangle $PQR$. Given that $\angle QBA=24^{\circ}$ and $\angle RAD=18^{\circ}$. Find the measure of each angles $P,\,Q$ and $R$.

Hi all I was wondering if someone could help with the following:- I have a regular octagon. Find angle CBA, ACB, BAC. Lines BA and AC are equal in length. I have done the following:- Found all the internal angles and all the external angles. I know that I have an...