Relationship Definition and 999 Threads

I am studying calculus and statistics currently, and a possible relationship between them just occurred to me. I was thinking about two things: (i) is a differentiable function from R to R a manifold, and (ii) in what way is a random event really unpredictable? So I don't know much about either...

Homework Statement What is the relationship between the magnitude of a radial electric field and and its associated potential? Choose the correct general relationship? Homework Equations The following alternatives are given: a) E(r)= dV(r)/dr b) E(r)= V(r)/r c) E(r)= -dV(r)/dr d)...

Hi, I am having a hard time understanding the relationship between torque, angular speed, & required mass of an object. Angular accerlation notwithstanding. Can someone help me understand how the ability of a machine to spin faster reduces the requirement for torque to generate a...

Homework Statement just a conceptual thing I don't quite understand.. how come dtheta/dt = v/r? I thought it was basically the same thing as v = r/t, but with radians.. thanks Homework Equations The Attempt at a Solution

I have been trying to find the relationship between the accelerations in a pulley system. My book doesn't explain it. My first question: Which object moves faster, the one attached to the pulley or the other? I'm guessing the one that isn't attached to the pulley. My second question: Does...

Wave amplitude/energy relationship problem...the square of one is one!? Hi, 1. I am trying to understand the relationship of wave amplitude and wave energy, knowing that Energy is proportional to Amplitude squared. My problem is that the proportion seems to differ for the same wave based on...

If I want to find A relative to B, what am I really looking for? Am I assuming that A is fixed at the origin and looking at B's motion compared to A, or the converse? Could someone please clarify this for me. Also, does the same thing apply to with respect to? A with respect to B...

Homework Statement How can i show the relationship of a plane relative to the Earth using two given vectors? The nose of an ultralight plane is pointed south, and its airspeed indicator shows 35 m/s. The plane is in a 10 m/s wind blowing toward the southwet relative to the earth. a) In a...

Hello! A book on calculus was introducing hyperbolic functions and pointed out that the identities such as cosh x and sinh x, etc. for hyperbolic functions were analogous to cos x and sin x for circular functions. I tried finding some internet sources explaining why this is so, but they tend to...

I was going through my textbook, Introduction to Electrodynamics, and I came across this question that puzzled me. The book is really great by the way, I would highly recommend it. No, this isn't a homework question, it just got me thinking. For a finite line of charge (like a rod, for...

Homework Statement If a solution of a weak acid contains more HA than A-, then Homework Equations - The Attempt at a Solution the answer is pH > pKa. Okay my question is why is this the answer. I'm trying to understand in what situation you would have the pH greater or less...

Dear all, How can I show that: The boundary of a set S is equal to the intersection of the closure and the closure of the complement of S ? Thanks a lot in advance

Frequency is the time derivative of phase? But how? Can someone explain?

Homework Statement A model rocket is launched at 50m/s, 35 degrees above horizontal. What is the horizontal displacement when its velocity vector is at 25 degrees. Homework Equations Kinematic equations, the relationship between sin cos and tan. The Attempt at a Solution tan(25)=...

Homework Statement Give an argument for there being a connection between scale length and frequency Homework Equations scale length = (wave length) / (Length)The Attempt at a Solution So from only my physical intuition I'm coming up with the longer the scale length the longer the wave length...

1. Well, we want to find the relationship between resistance and temperature. We asked the lab techie and he said to use some Nichrome wire in a coil and test the potential difference, current and temperature of the wire. We're having a problem getting it set up. We're not sure how to set up...

Homework Statement Show that: \frac{dc}{d\omega}=\frac{1}{k}\left(1-\frac{c}{v_{g}}\right) The Attempt at a Solution...

Hello i just got a question from school regarding (Part 1) the relationship between mass and acceleration, and Part 2: force and acceleration. i have gathered all the data regarding the velocity, these were recorded by using tickertimers. My questioin is how can u graph Part 1: a mass...

It is my understanding that there is evidence from the red shift/distance relationship that while the rate of universal expansion was once decreasing (from the Big Bang until about 6-7 billion years ago -BYA for short), at about 6-7 BYA it began increasing. This, as I understand it, is the main...

So here we have the simple equation: E\uparrow T\downarrow This can also be stated by saying that the more massive (energetic) an object in space is, the less time it will exist for. But if time passes slower in areas of space near more massive bodies, wouldn't an observer near...

Apologies in advance if this question is either stupid or has been asked frequently. I have googled and googled but cannot find a answer. Special relativity says that when a body accelerates its mass increases and its length decreases. This continues until the body approaches the speed of...

Homework Statement In dielectric, homogeneous media show that: i\textbf{k} \times \tilde{\textbf{E}} = i\omega\tilde{\textbf{B}} (1) k is the wave vector, and E-tilda is complex constant vector. Homework Equations \textbf{E} = \textbf{\tilde{E}}e^{i(k.r - \omega t)} + c.c...

Hi guys, working a project where I need to guess the damping ratio (used for a numerical analysis) based on other properties of a material. We're looking to use an RTV as a vibration damper (we don't need a lot) but I can't seem to get any vibrational properties (called Honeywell, Dupond...

...from a sociological survey conducted in Jefferson High school. http://researchnews.osu.edu/archive/chainspix.htm Does the big circle represent their football team? :)

Question I was wondering how the concept of work can have units of volts? I mean work has the units of N/m = J =/ J/(A*S) = Volts? Yet I am reading they are equal? Can someone enlighten me?

I find that there are two ways in which the relationship between electric field intensity and potential are expressed as mentioned hereunder: (A) E = - dV / dx (V = potential and x is the direction along which V varies) (B) E = - Delta V / Delta x My understanding of the application of...

Homework Statement I am trying to understand physics in terms of relationships rather than just equations, hoping this site would help me, thanks! So... You can expect lots of questions from me lol. Okay so right now it is momentum and acceleration. Trying to understand what could be a...

Are time and space independent of an object, or are they properties of an object?

Is there a general relationship that can be used for LED lights tying togethor Cadella output and Wattage required?

"Mathematics holds a vital place in a wide variety of fields, including the sciences and finance. Number calculations have proved the viability of countless scientific phenomenon. Money lenders generally need statistical data to evaluate a consumer’s financial situation before granting them a...

Homework Statement What is the relationship between the weight (N) vs mass (g)? Homework Equations The Attempt at a Solution I am suppose to predict the relationship between the weight vs mass. I'm guessing it's directly proportional but I can't explain why in simple terms? I...

Hi, How are the resistance of a conductor and frequency of an AC current related? If frequency goes up, does resistance go down or vice versa? Is this relationship constant for all types of material? Are some materials more frequency sensitive than others? For instance in an...

My book states: "Power is proportional to amplitude squared" How can this be derived? Thank you!

How are they related? Can you derive one from another, or are they separate fields of study?

First off, mad props to berkeman for suggesting Art of Electronics. It's the first textbook that has actually connected with me. I'll be buying myself a copy. Homework Statement Please refer to the images that I've attached below. I had copied down the images from the textbook, since it...

Homework Statement A 140 kg hoop rolls along a horizontal floor so that the hoop's center of mass has a speed of 0.150 m/s. How much work must be done on the hoop to stop it? Homework Equations K = 1/2Iomega^2 + 1/2mv^2 The Attempt at a Solution K translational = 1/2mv^2 =...

Hi, Below is a very simple answer as to what happens to a beam when it has a load applied. "When a load is applied to a beam, delfection occours. If not much deflection, then object is stiff. Linear relationship." How could i further explain this, or is this simple enough?

I am working on my lab report for the simple pendulum and we did an experiment where we increased the max theta in increments of 5 degrees, while keeping the length of the sting the same. We started from 5 degrees and went to 45 degrees. For some reason the periods seem to increase slighty as...

We use a 10v a.c. signal through to a small steel sensor (SMO 254) in wastewater - and the control device looks for a conductive path to ground to determine that the level of liquid is over the sensor. We don't use d.c. because of the electrolysis effect - but the circuit we use could have a...

How do pressure, density, state of matter, and temperature relate? these are my points, are they right?: 1. Higher temperature makes an object less dense 2. Density governs the state of matter for the object, hence as water becomes less and less dense, it becomes gas (water vapour) 3...

Hey, first of all, I wanted to know that if you pass an electric current through an iron rod, for example, then what would be the relationship of it's electric field and magnetic field? Will they be parallel to each other or perpendicular?:confused: Second: suppose to fire a particle, let it...

i was wondering if someone could explain the relationship between distance/velocity/acceleration? I don't have a clear understanding how they are related.. especially when they are plotted on a graph. Ill give you a specific example: so there was a velocity-time graph where the average...

Homework Statement A block of ice slides down a frictionless ramp at angle q = 50° while an ice worker pulls on the block (via a rope) with a force that has a magnitude of 50 N and is directed up the ramp. As the block slides through distance d = 0.50 m along the ramp, its kinetic energy...

Can someone explain in detail the relationship between mass and energy? Apparently there's not much of a difference...

Hi All! Im a bit confused regarding the relationship between focal length and the thickness of a lense. In the lab that we performed, my data seems to be skewed and I am unable to decipher the trend. Can someone explainwhat happens to the focal length as the thickness of the lenses...

I'm not sure if this belongs in the HW section but I'm not doing HW so I'll post it here. My book mentions the auto-ionization constant of water( Kw = [H+][OH-] = 1.0 E-7 ) and shows us how we can use it to find the pH if a strong base is added by solving for [H+]. Later on in the book it...

Homework Statement I learned this relationship of Capacitance and Inductance. But I am not able to understand the theory behind the equation or the derivation. Homework Equations The equation is [L]=\mu \epsilon [C]^-1 The Attempt at a Solution Can you explain me the theory...

Homework Statement Show the mathematical relationship between magnetism and electricity by looking at constants Homework Equations I have several equations but in don´t really know which one I have to use and I don´t see any big similarities except that there is force, charge, velocity...

Is there a way to relate flux Density with capacitance (Parallel plate capacitor). Yes/ No... I will be thankful if you tell me the equation is there is a relationship. In case we cannot relate them, then is there a way to relate any electromagnetic parameter with parallel plate...