Constants Definition and 458 Threads

  1. Z

    Dielectric Constant of Poly(allylamine hydrochloride)

    I am currently in a research lab working with various polymers. I have been searching for a while, with no luck, to locate the dielectric constant of PAH poly(allylamine hydrochloride). Can anyone provide me with this constant? Thanks.
  2. S

    Summing reactions/rate constants

    Hi! I have a couple of reactions whose rate constants are known: A + B -> C + D (reaction 1) C + B -> E + F (reaction 2) and I want to know the rate constants of the sum of these reactions. That is: A + 2B -> D + E + F (reaction 3) How may I know the rate constant for reaction 3...
  3. J

    Gravitational force and constants

    Homework Statement Three identical masses of 570 kg each are placed on the x axis. One mass is at x_1 = -10.0 cm, one is at the origin, and one is at x_2 = 43.0 cm. What is the magnitude of the net gravitational force F_grav on the mass at the origin due to the other two masses? Take the...
  4. J

    Calculating Time Constants for RC and RL Circuits | Simple Physics Homework Help

    Homework Statement Calculate the time constants of the following circuits I drew them in the attachment Homework Equations t=RC in a RC Circuit t= L/R in a RL Circuit The Attempt at a Solution Im not sure if in the first one, I would simply add the two...
  5. T

    Calculating elastic constants Cijkl

    Homework Statement Longnitudal and transverse soundwaves in nickel (FCC lattice) moves at velocities 5300m/s 3800m/s. Determine the elastic constants Cijkl Homework Equations v =\sqrt{C_{ij}/\rho} The Attempt at a Solution I guess I can calculate Cij with that equation...but I...
  6. M

    Static and dynamic spring constants

    Should the static spring constant and dynamic spring constant of the same spring be the same value (or very close to the same value)? I know the difference between the two is that static is found by measuring the displacement from equilibrium by adding different weights and dynamic is found by...
  7. E

    Finding Constants given certain constraints.

    1.Find a such that y=x2 - 2(x)1/2 + 1 is perpendicular to ay + 2x =2 when x=4 3.I have gotten as far as getting the slope of the normal line. I then rearranged the equation to y = (-2x+2)/ (a) and That is where I am stuck I am having a lot of trouble with these types of...
  8. A

    When working out the Uncertainties, what to do with the constants?

    Q=mcT, variables with uncertainties are m and T. If it were only Q=mT, the %uncertainty of Q would be %uncertainty of m + % uncertainty of T. But c=constant (no uncertainties), so what is the uncertainty of Q when Q=mcT? Do you just multiply the constant to the %uncertainties of m and T...
  9. R

    Equation for a circle in terms of constants A and B

    [Homework Statement If 0<a<b, find the radius R and center (h,k) of the circle that passes through the points (0,a) and (0,b) and is tangent to the x-axis at a point to the right of the origin. Homework Equations ((x-h)^2) + ((y-k)^2)=R^2 (equation of the circle centered around (h,k))...
  10. S

    Differential equations - finding constants

    Find values of the constants a and k so that y(x) = ax^k solves the differential equation; (dy/dx)^2 + [(3y^2)/(x^2)] + [(2y)/(x^4)] I tried substituiting ax^k into the DE but it did not work. I need to separate x and y but I cannot do it then I need to integrate it I think. I just...
  11. L

    Constants and multiverse possibilities

    Scientists have discovered that they are about 20 constants in nature that if they varied by more than 1% we would not exist. It's like the universe is finely tuned for life to exist. Now there's two possibilities, 1. the universe is intelligent, aware of itself,manages its evolution and plans...
  12. T

    How to calculate section constants for rectangular tubes?

    Hi. I was wondering how to calculate I and W for rectangular and quadratic tubes. I have formulas for massive rectangular and square sections and for circular tubes. I tried to make a formula for a square tube section, based on how the formula for the circular tube looks - but I didn't get...
  13. M

    Mathematica How can I vary physical constants in Mathematica plots?

    I have a function which depends on several physical constants, which I want to be able to vary each time I make a plot. What is the best way to do this?
  14. R

    Relation between torsional and linear spring constants for a cantilever beam?

    Hello, This should be a straight one for most of you. Given a cantilevered beam that has a force F applied across it (or at one end), causing a displacement d and deflection \theta , what is the relationship between the torsional spring constant k_{theta} and the linear spring constant k...
  15. M

    Understanding the Parabola's Constants: a, b, c

    Homework Statement The general equation for a parabola is y=ax²+bx+c, where a, b, c are constants. What are the units of each constant? Homework Equations y=ax²+bx+c The Attempt at a Solution The answer is a: 1/m; b: dimensionless; c: m How exactly did they get that answer in the book...
  16. E

    Unitless constants and unitized forces

    Coupling constants are unitized or unitless. Forces are associated to unitized coupling constants like charge (e), gravity (G), etc. All unitless coupling constants that I know of, like the fine structure constant (\alpha), or the Lorentzian \beta, etc are ratios where the units cancel out...
  17. L

    Why are the electric and magnetic constants where they are?

    Epsilon0, the electric constant, and Mu0, the magnetic constant, were introduced in Coulomb's Constant and Ampere's Constant in order to make units and magnitudes match, in Coulomb's Law and Ampere's Force Law, respectively. But Coulomb's Constant is: 1/4 pi Epsilon0 and Ampere's Constant...
  18. apeiron

    Dimensionful vs dimensionless constants

    In describing physical reality, we have two classes of constants, the dimensionless and the dimensionful. http://en.wikipedia.org/wiki/Physical_constant Which is the more fundamental and why? And exactly what is the meaning of their difference? I have my own take of course. My feeling...
  19. M

    Ion exchange and stability constants

    Homework Statement In natural water containing 0.9 mmol/L calcium and 12 ug/L fulvic acid, determine the fraction of the fulvic acid that is bound to calcium (i.e. the ratio between the concentration of Ca-FA and total concentration of FA binding sites), assuming that calcium is the only metal...
  20. C

    Relating electric constants to the speed of light ?

    1/sqrt(EP)=c where E= Permittivity constant P= permeability constant . My teacher wanted us to think about this result that Maxwell got and how it would lead to problems and eventually lead to relativity can some one give me a hint what he is getting at this is not a home work...
  21. Z

    Differentiating y= Acosαx + Bsinαx and finding Constants

    Homework Statement Don't really know what to do with this one, any help welcome If A, B and α are constants, independent of x, and y= Acosαx + Bsinαx Evaluate the derivates y'=dy/dx y^n=d^2y/dx^2 Determine values of A, B and α such that y satisfies y^n+y=0 and y(0)=0, y'(0)=1...
  22. L

    Harmonic motion, finding analytic expressions for constants

    1. Find analytic expressions for the arbitrary constants A and phi in Equation 1 (found in Part A) in terms of the constants C and S in Equation 2 (found in Part B), which are now considered as given parameters. Express the amplitude A and phase phi (separated by a comma) in terms of C and S...
  23. Z

    Incompressiblitiy and unit length implies constants

    Let u,v\in C^1(R^2), and (u)^1+(v)^2=1,\partial_x u+ \partial_y v=0. Then u,v are constants. Is it right? How to prove?
  24. P

    Disoersion relation and lattice constants

    Dispersion relation and lattice constants I need to be able to calculate the period (which I believe is the lattice constant) for a 1D crystal given the energy wavevector relation. Is this possible? I also have to find the Bravais lattice of a 2D crystal give a similar relation. What is it...
  25. W

    Special invariants with few constants of motion

    Ordinarily, a system of N particles in d dimensions has 2Nd constants of motion, but there are certain invariants, like energy and angular momentum, that have a lot fewer. What's so special about these? Why do they have so few constants of motion?
  26. F

    Finding the Constants in a Motion Equation

    Homework Statement If s(0) = 0, v(1) = 24 and a(t) = 24t+6 find s(t) Homework Equations The Attempt at a Solution I know a(t) is s''(t) and v(t) is s'(t). however, How can I find s(t)?
  27. C

    Limit of an unknown constant expression

    Homework Statement find limit of x as it approaches infinite sqrt(x^2+ax)-sqrt(x^2+bx) a and b are not given Homework Equations The Attempt at a Solution Looking at this equation I first eliminated the square roots. After simplifying i ended up with ax-bx/sqrt(x^2+ax)+sqrt(x^2+bx)...
  28. P

    Rate of reaction, rate constants, and Arrhenius' Equation

    Homework Statement The effect of temperature on the rate of a reaction was studied and the following data obtained: k (s-1) T (°C) 3.06×10-4 10 4.84×10-4 16 6.50×10-4 20 1.40×10-3 31 2.87×10-3 42 4.16×10-3 48 5.94×10-3 54 7.92×10-3 59 It is known that...
  29. Z

    Inequality with negative constants

    Homework Statement Solve each of the following inequalities; give your answers in interval notation. i) ax + b < c, where a, b, c are negative constants Homework Equations The Attempt at a Solution ax < c - b x > c - b / a because I'm dividing by a negative constant...
  30. S

    Finding Spring Constants After Cutting a Spring

    Homework Statement A spring with spring constant 8 N m-1 is cut into 2 equal parts. Find the spring constant of each part? Homework Equations The Attempt at a Solution Spring constant of each part = 16 N m-1 Above is the answer given. 1. Why should we times 2? 2. If the...
  31. K

    General solution to PDEs-arbitrary constants

    Homework Statement Claim: For the partial differential equation ∂u/∂x + ∂u/∂y = 0, the general solution is u(x,y) = f(x-y) Homework Equations N/A The Attempt at a Solution I remember that the number of arbitrary constants in the general solution should be the same as the order of the...
  32. R

    The shape of space-time and physical constants

    I am wondering if anyone knows of research being done, or theories that are related to the actual structure of space-time as they are related to physical constants such as the speed of light, Planck's constant, and the cosmological constant. I'm far from being a expert, but I've been playing...
  33. R

    Which are the constants needed for the universe to exist?

    I heard a http://www.youtube.com/watch?v=YtdE662eY_M"by Brian Greene where he states that there are over 20 constants needed for the universe to exist, Which are those constants?
  34. S

    Can Spring Constants Be Negative?

    Homework Statement can spring constants ever be negative??
  35. U

    Does + C melt together ALL constants?

    Does "+ C" melt together ALL constants? I had this integral \int \frac{dy}{-2y + 6}. I realize you can let u = -2y + 6 so that du = -2dy, and adjusting: -0.5 du = dy. The integral becomes -0.5 \int \frac{du}{u} = -0.5 \ln{|-2y + 6|} + C However, there is another way. Factor out the...
  36. D

    Solving Spring Constants with 7.50-kg Ball & 2 Springs

    Homework Statement A 7.50-kg ball is placed on top of a spring with a spring constant of 475 N/m that has an initial length of 35.0 cm (h1). When the ball has reached its equilibrium position, it is supported by both springs at a height of 20.0 cm above the table (h3). If the shorter spring...
  37. H

    Understanding H NMR Coupling Constants: Matching J-Values vs. Peak Alignment

    background: I have a HNMR spectra and I am trying to figure out what is coupled to what. There is a set of 4 doublets where it is know that there 2 sets of coupled doublets. the doublets have j-values of 8.8 @ 8.04ppm, 8.8@ 7.58ppm, 8.4@7.39ppm and 8.4@7.00ppm. While I may have assumed that...
  38. D

    Calculating Gravitational Field Constants for Mars, Jupiter, and Mercury

    1. Calculate the gravitational field constants for the following: Mars (r=3.43 x 10^6m , m= 6.37 x 10^23 kg) Jupiter (r= 7.18 x 10^7 , m = 1.90 x 10^27kg) Mercury (r=2.57 x 10^6m , m= 3.28 x 10^23 kg) 2. F = mg Fg = Gm1m2 r^2 3. So i tried subbing these given masses into the second...
  39. J

    Structure constants of a group antisymmetric?

    First, how do you put in spaces without them being deleted when i post? How does one show that the structure constants, c^{k}_{ij} of a group are antisymmetric? The context is from page 12 of Anderson's "Principles of Relativity Physics", with the statement right at the bottom: Thanks for...
  40. G

    Constants in a system of equations that makes the system consistent

    Homework Statement The Attempt at a Solution For a) I just solved simultaneous equations, a link to a resource that solves a system more efficiently would be nice but augmented matrices are taught in the syllabus, or atleast not in the official text. Although I've seen solutions in...
  41. W

    Parameters, Arguments, Variables, Constants I`m confused,

    First of all, I understand what a constant is, what a variable is, and somewhat what a Parameter is. For parameters, as much as I know they are variables but of a specific type, for exmaple:- a^2= B, where B is the area of the square..now "a" is a variable, but its also a parameter, since...
  42. I

    Λa+µb+vc =0 constants not all zero c.(axb)=0

    Homework Statement past paper qu... λa + µb + vc = 0 for some λ, µ, v not all zero show c.(axb)=0 consider cases v not equal to 0 and v = 0 The Attempt at a Solution not sure how to start so if someone could just point me in the right direction or offer another hint it may help me get...
  43. N

    Measuring the magnetic and electric constants

    Has the permeability and permittivity of vacuum ever been measured in a vacuum or space?
  44. F

    Calculating RC & LC Time Constants: Series vs. Parallel

    How does the relative position(series or parallel) of a resistor affect the calculation of the RC and LC time constants. In other words is a RC time constant still R\timesC requardless of whether or not R and C are parallel or if R and C are in series. Same question with LC time constants, is...
  45. B

    Calculating Constants for Conservative Vector Field F

    We are told that the force field F=(\muz + y -x)i + (x-\lambdaz)j + (z+(\lambda-2)y - \mux)k Having already calculated in the previous parts of the question 1:the line integral (F.dx) along the straight line from (0,0,0) to (1,1,1) 2:the line integral (F.dx) along the path x(t)=(t,t,t^2)...
  46. C

    Unwanted constants after integration

    While integrating a rational function I stumbled upon the following problem (In the calculation of the integral the substitution u=x+1, du=d(x+1)=dx was used). \begin{align} \int \frac{x^2}{(1+x)^2}\,dx &= \int \frac{(u-1)^2}{u^2}\,du \\ &= \int du+\int \frac{du}{u^2}\ -2 \int...
  47. Y

    Where i can find complete data for material elastic constants?

    Where i can find complete data for material elastic constants?? I need elastic constants, piezoelectric coefficients & permittivity for different semiconductor alloy? Someone could kindly help...
  48. E

    Finding the constants of a function

    Homework Statement Suppose f(x)=ax^3+bx^2+cx+d has stationary points at (1,3) and (3,-3). Find the constants, a, b, c, d and sketch the graph of f(x). Homework Equations The Attempt at a Solution No idea where to start with this one. I know I have to eliminate 3 of the variables...
  49. Y

    Understanding Equilibrium Constants With No Denominator

    Lets say you have something like CaSO4 (s) <-----> Ca (aq) + SO4(aq) The equilibrium constant would then have no denominator. That makes no sense to me! K would equal [ Ca ][ SO4 ]. Wouldn't that then represent a constant amount of moles no matter how much CaSO4 is present...
  50. C

    What is the effect of arranging two springs in series?

    I have two springs arranged in series (remember circuit diagrams from physics class!). One has a low stiffness constant (K1 = 5) and the other connected to it has a much higher contant (K2 = 100). According to the equation (as used in wikipedia)...
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