Angle Definition and 1000 Threads

In a process of writing a game. Effectively need to know how to angle the barrel for the projectile to hit the selected target. So for the equation y = h + x * tan(α) - g * x² / 2 * V₀² * cos²(α) Everything except α is known. Could anyone more wise in the ways of science than me help me solve...

If we know the change of angle is twice the incident angle, then the rate of rotation is 2*100 rpm = 200 rpm. Is there a better explanation of it?

So far all I know is that n1 and n2 represent the refractive indices of the two media, and so is theta (I think). Please help

I don't know the distance or the horizontal velocity so I can't find any logical solution

The answer says t = Vb - Va/g. Shouldn't it be Va + V(from highest point to point b)/g ?

Hello. Can someone tell me what area of phisics should I study to better understand this exercise and also what should I do to solve this exercise please? A man pulls a small sledge with a force F ⃗ of intensity equal to 50.0 N and that makes an angle with the horizontal θ = 30º (see figure)...

https://www.plasmaphysics.org.uk/collision2d.htm This is the only one I found, but when I plug in the numbers of his example I get a wrong result. Do you know any others who solved it i.e. considering the angle of impact? Angle of impact I name the angle that is shaped between the initial dx...

I believe the nx, Ty, and (fs)y are all 0. I could solve for theta if I could figure out (fs)x or ny. edit: Track is frictionless, so delete (fs) forces.

Quickly estimate the value of this expression: sin(1.57). If your answer was about 1, then you assumed that 1.57 was a radian value. If your answer was about 0, you assumed that 1.57 was degrees. If you said that you can’t determine an answer, then you were expecting to see an angle...

I've looked for this in a hundred places but I keep finding the unit length of the diagonal (root 3). I want to find the angle. i.e. the angle between the cube's diagonal and its three edges at a vertex (all three angles will be identical, of course). I guess I hoping to figure it out without...

Refraction has a symmetry; on going from glass to air light at the glass air surfaces refracts away from the normal. If you turn the light source around and make the former refracted beam the incident beam then its refracted angle will be the former incident angle. So at critical angle, do the...

Juri is tugging her wagon behind her on the way to... wherever her wagon needs to go. The wagon repair shop. She has a trek ahead of her--five kilometers--and she's pulling with a force of 200 Newtons. If she's pulling at an angle of 35 degrees to the horizontal, what work will be exerted on the...

I do not understand how this type of exercise is solved because I have not had a solution to such an example. I would ask you to show me the solution of this exercise step by step, so that I understand how to solve it. I appreciate your help. Thank you.

Solution: (delta (ϑ)) = -(minus delta n) /(n*sqrt((n^2-1)))

So what I did first was made the face of the triangle flat and calculated the angle the light entered it. This means the light enters the triangle from the base corner angle (so (180-38.8)/2) of 70.6 degrees. 1sin(70.6)=1.47sin(angle) angle=39.915 Now I need to find the angle it exits. But...

Hi, I have a question regarding oblique shockwaves. Question: How can we determine what the wedge angle is for the shockwave in a situation? Context: This problem here shows an oblique shock wave on the trailing edge of the body and it simply states that the wedge angle is 6 degrees. Why is...

I drew a diagram in the attached files as well, but the the scenario seems to be the same as the double slit experiment, but I don't understand why the answer contains cos instead of sin.

>10. Let a family of curves be integral curves of a differential equation ##y^{\prime}=f(x, y) .## Let a second family have the property that at each point ##P=(x, y)## the angle from the curve of the first family through ##P## to the curve of the second family through ##P## is ##\alpha .## Show...

##ω = \frac {k} {\sqrt{φ}}## What is the angle between acceleration and velocity after 1spin (2π radians)? First I decided to find out what is the angular acceleration: ##α = \frac {dω} {dt} = \frac {dω} {dt} \frac {dφ} {dφ} = \frac {dω} {dφ} ω \implies ##after integrating ##\implies α = -...

Hey! :giggle: An aeroplane flies over a tower of height $h> 0$ at height $H> h$. At what distance $x$ is the angle $\alpha$ at which the tower is seen from the aeroplane, maximum? (You can use elementary geometry and that $\arctan'(x)=\frac{1}{1+x^2}$.) From Pythagorean Theorem for the...

After conducting the photon interference experiment, below is a sample data of what we got: Time (s) Angle (V) Two-slit Diode (V) 0 0.988 0.203 0.102 0.984 0.297 0.805 0.976 0.398 1.201 0.974 0.5014 1.31 0.968 0.526 The above list goes on for quite a few columns...

A = |A|cos33.7 A = |A|0.83195

I am building a plant rack. Because of size restrictions, I must use angle iron and I want to use aluminum angle because of weight. I am looking at aluminum angle (L shaped) for the shelf brackets. The aluminum angle is 1" and 1/16th thickness, 24" long and screwed into wood. Each angle will...

I want to locate an infrared signal using Angle on arrival (AoA), I have elected to use Phase Interferometry to achieve this, I am however struggling to understand how the phase difference (∆ϑ) is found. Can someone explain how I could find this?

I consider the laboratory system. The four momentums in this reference system are respectively: ##p^\mu = \big(\sqrt{|p|^2+m^2}, 0, 0, |p| \big)## ##p'^\mu= \big(m, 0, 0, 0 \big)## ##k^\mu = E\big(1, 0, 1, 0\big)## ##k'^\mu = E'\big(1, 0, -\sin \varphi, \cos \varphi \big)## I used conservation...

the device that I have is the same as the mirror of this truck.

I am not sure how to do this at all or what exactly he is asking me. [Mentor Note -- Two threads on the same problem have been merged into one]

Problem Solution My question For the torque equation, I calculated the torque of the wheel at the point at the upper end of the string L' and wrote ##\dot{\vec L_x}=\tau_x=-Mg(l+L\sin\beta) \text{[the direction of x is out of paper]}## rather than the equation highlighted by green colour...

$\tiny{act.ge.5}$ ok you have 2 seconds to figure this one out:unsure: This question has live answer choices. Select all the answer choices that apply. The correct answer to a question of this type could consist of as few as one, or as many as all five of the answer choices. \item In triangle...

For the displacement, how do I figure out the angle theta between the points? And how does the speed at which the string retracts affect the centripetal force?

at which angle does the graph y=sin(1/x) cross the y-axis??

For the first question, i believe that mechanical energy is conserved hence we can derive the total energy i think. In regards to the second question, I'm assuming its at room temperature, so helium is monotonic therefore it has 3 degrees of freedom, therefore its internal energy is 3/2KT. I am...

Hello! So the way I have tried to solve this problem is the following;Since it is an inclined plane and the cofficient of static friction is known, getting to the angle at which the box starts sliding is the following ##μH = \frac {sin (\alpha)} {cos(\alpha)} = μH = tan(\alpha) ## ## \alpha =...

I understand this working all the way up until the '2n-1' part, where n is a positive integer. I understand that delta theta is 90 degrees (i.e. pi/2 radians), as the hands are at right angles to each other.. I also understand where the angle equations are derived from and why you have to find...

Anyone have any idea how to perform the following two integrals? ##\int d\Omega n_{i}n_{j}## and ##\int d\Omega n_{i}n_{j}n_{k}n_{l}## where the n is a unit vector.

I am curious about how to approach the problem mathematically, so I write. There are 4 dots on the square and I know the location. The rectangle moves and the positions and angles of the four points change. I also know the location of the four points that have changed. I don't know the...

These boat hauling cranes seem to extend their booms as high as possible. Much higher than necessary for the max height of the boat lifting rig. Does this accomplish something effort or safety-wise? It's not like a simple torque situation - the force applied is gravity - straight down - not...

https://arxiv.org/abs/2010.15621 Superselection of the weak hypercharge and the algebra of the Standard Model Ivan Todorov [Submitted on 29 Oct 2020] I haven't had time to study this paper yet. But a few curiosities: It talks about Clifford algebras. But in fact it builds on work due to...

My only guess is that this is due to air resistance. Below an example of the predicted graph:

From Newton's second law: $$T_{x} = F_{turn}$$ So $$T \sin \theta = ma$$ $$T_{y} = F_{y}$$ so $$T \cos \theta = mg$$ Equate the two equations to get: $$ \frac{T \sin \theta}{a} = \frac{T \cos \alpha}{g} $$ and the angle is given by: $$tan (\theta) = \frac{a}{g} $$ where ##r = \frac{v}{w}## and...

Yeah, as I said, i have no idea why we can assume beta to be the same for any position at given alpha.

Before to open this topic, I found this there. It's quite similar, if not the same, but I'm a little confused, so I'm here. The situation is represented in this image. From optical geometry, ##\theta_{incident} = \theta_{reflected}## The four-momentum in ##S'## is the following one...

I found this paper https://arxiv.org/abs/quant-ph/0412216 We have an interferometer with to arms. The firsr has a couple of HWP's inclened by an angle theta and the second has the crossed couple. A mixed state is in input. i look to the figure withe the Bloch sphere. i see 2 paths on it. one...

I know the solution is based on velocity and the sliding friction coefficient, and I believe I should put the condition Fcf smaller than Ff, but I just don't understand how to include μ in the solution, to find the angle. Even if you don't solve the problem, I just need to understand the...

the mass is 0.8kg speed is 50m/s distance is 100m

I'm a bit confused on the derivation above. I understand what the goal of the derivation is, as it derives Gauss's Law using the solid angle, but i was wondering if someone could kind of fill in the steps the author skipped and explain the use of the solid angle.

I tried to do it by derivative but there are two variables, so I don't know how to proceed. Does anyone know how I can solve it? Remembering that you don't need to find the value of ##\theta##. I just need to find a relationship between ##\theta_1## and ##\theta_2##

I tried to use complementary angles and the law of reflection but I still have no idea how to find the angle.