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Topic: Constant of proportionality


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In the News (Fri 18 Dec 09)

  
  Hubble constant concept from the Astronomy knowledge base   (Site not responding. Last check: 2007-10-13)
The larger the Hubble constant, the younger the universe.
Hubble's "constant" is independent of distance, but actually decreases slowly in time as the expansion is slowed by the gravitational pull of each galaxy on all the others.
The Hubble constant is generally used to mean the value of the Hubble parameter at the current epoch, and is somewhere between 50 and 100 km/s/Mpc with possibly a value close to 75 km/s/Mpc.
www.site.uottawa.ca:4321 /astronomy/Hubbleconstant.html   (353 words)

  
 Proportionality (mathematics) Summary
If you travel at a constant speed, then the distance traveled is proportional to the time spent traveling, with the speed being the constant of proportionality.
The circumference of a circle is proportional to its diameter, with the constant of proportionality equal to π.
The amount of force acting on a certain object from the gravity of the Earth at sea level is proportional to the object's mass, with the gravitational constant being the constant of proportionality.
www.bookrags.com /Proportionality_(mathematics)   (1793 words)

  
 Planck's constant Summary
Planck's constant (denoted h) is a physical constant that is used to describe the sizes of quanta.
Planck's constant and the reduced Planck's constant are used to describe quantization, a phenomenon occurring in subatomic particles such as electrons and photons in which certain physical properties occur in fixed amounts rather than assuming a continuous range of possible values.
The SI unit of measurement of Planck's constant is joule per hertz, or joule per (turn per second), while the unit of measurement of Dirac's constant is joule per (radian per second).
www.bookrags.com /Planck's_constant   (1147 words)

  
 universal constant concept from the Astronomy knowledge base   (Site not responding. Last check: 2007-10-13)
Gaussian gravitational constant (4 facts) (k) - The constant defining the astronomical system of units of length (astronomical unit), mass (solar mass) and time (day), by means of Kepler's third law.
Newtonian constant of gravitation (8 facts) (G) - The universal constant of proportionality in the attraction between two unit masses a unit distance apart.
Planck constant (7 facts) (h) - The universal constant of proportionality relating the frequency of a photon to its quantum of energy., Planck's constant is a fundamental parameter in quantum mechanics.
www.csi.uottawa.ca:4321 /astronomy/universalconstant.html   (290 words)

  
 constant of proportionality - Definition, Synonyms, and Reference from OnPedia.com
constant of proportionality - the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality
constant - a number representing a quantity assumed to have a fixed value in a specified mathematical context; "the velocity of light is a constant"
Planck's constant, h - the constant of proportionality relating the energy of a photon to its frequency; approximately 6.626 x 10\-34 joule-second
www.onpedia.com /dictionary/constant-of-proportionality   (101 words)

  
 Introduction to the Fundamental Physical Constants
The velocity of light (c) and Planck's constant (h) are examples of quantities that occur naturally in the mathematical formulation of certain fundamental physical theories, the former in James Clerk Maxwell's theory of electric and magnetic fields and Albert Einstein's theories of relativity, and the latter in the theory of atomic particles, or quantum theory.
The elementary charge (e) and the electron mass are examples of constants that characterize the basic, or elementary, particles that constitute matter, such as the electron, alpha particle, proton, neutron, muon, and pion.
For example, the fine-structure constant is the fundamental constant of quantum electrodynamics, the quantum theory of the interaction (mutual influence) among electrons, muons, and photons.
physics.nist.gov /cuu/Constants/introduction.html   (1216 words)

  
 DC Motors -- motor (mis)behavior
For DC motors operated at a constant voltage, the speed and torque produced are inversely related (the higher the torque, the lower the speed of the motor).
If one takes the reciprocal of the back EMF constant, the result is a proportionality constant which relates the voltage applied to the motor terminals to the rotational speed of the coil.
The differences between the torque constant and the back EMF constant are simply a matter of the units used, while the velocity constant is simply a useful form of the back EMF constant.
www.solarbotics.net /starting/200111_dcmotor/200111_dcmotor4.html   (747 words)

  
 constant of proportionality - definition of constant of proportionality - Labor Law Talk Dictionary (via CobWeb/3.1 ...   (Site not responding. Last check: 2007-10-13)
For example, if you travel at a constant speed, then the distance you cover and the time you spend are proportional, the proportionality constant being the speed.
Similarly, the amount of force acting on a certain object from the gravity of the Earth at sea level is proportional to the object's mass.
If the points lie on (or close to) a straight line passing through the origin (0,0), then the two variables are proportional, with the proportionality constant given by the line's slope.
dictionary.laborlawtalk.com.cob-web.org:8888 /constant_of_proportionality   (305 words)

  
 physics - Boltzmann constant
In principle, the Boltzmann constant could be a derived physical constant, as its value is determined by other physical constants and in the definition of unit of absolute temperature.
The universal gas constant R is simply the Boltzmann constant multiplied by Avogadro's number.
The constant of proportionality k is the Boltzmann constant.
www.physicsdaily.com /physics/Boltzmann%27s_constant   (434 words)

  
 Insights Into Algebra 1 . Workshop 7
The ratio between the quantities is constant; that is, as one quantity doubles, the other quantity also doubles.
The constant is the constant of proportionality and the ratio is a direct proportion.
The number c is the constant of proportionality (or factor of proportionality or constant of variation).
www.learner.org /channel/workshops/algebra/workshop7   (794 words)

  
 Formulas for Physics   (Site not responding. Last check: 2007-10-13)
If the acceleration is proportional to the position (with a negative constant of proportionality), a general solution for the position as a function of time is possible.
This relation is usually is expressed in equation form with the constant on the acceleration side of the equation.
Anticipating the result, the constant of proportionality is written as (minus) omega squared.
muweb.millersville.edu /~jdooley/formulas/SHM/SHMBSIC/SHMBSIC.HTM   (297 words)

  
 Introduction to the constants for nonexperts 1920­1940
The classic pre-World War II measurements of the constant c are associated with Albert A. Michelson, a physicist in the United States.
The universal, or Newtonian (after Isaac Newton), gravitational constant (G) is the constant of proportionality in the equation relating the gravitational force between two separated bodies to their respective masses.
In 1854 another astronomer, George Biddell Airy, of England, measured the gravitational constant by comparing the period of a pendulum's swing at the Earth's surface and at the bottom of a mine shaft of known depth.
physics.nist.gov /cuu/Constants/historical2.html   (672 words)

  
 Insights Into Algebra 1 . Workshop 7
An inverse variation is a situation in which one quantity increases while another quantity decreases -- such as the number of diners and serving size for a given amount of food, or speed and travel time for a given distance.
The length (l) varies inversely as the width (w) for a rectangle of constant area (A); that is, A = lw.
They should recognize that the constant of proportionality in the direct variation is a quotient of the variables, while the constant of proportionality in the inverse variation is a product.
www.learner.org /channel/workshops/algebra/workshop7/index2.html   (827 words)

  
 Variation - A complete course in algebra
When a varies directly as b, the constant of proportionality is the quotient of any observed or given values.
In this example, the constant of proportionality is the constant speed of the car: 57.5 miles per hour.
The surface area of a sphere is proportional to the surface area of the circumscribed cube.
www.themathpage.com /alg/variation.htm   (1225 words)

  
 Theories and Laws of physics
The ratio of the potential difference between the ends of a conductor to the current flowing through it is constant; the constant of proportionality is called the resistance, and is different for different materials.
The fundamental constant equal to the ratio of the energy of a quantum of energy to its frequency.
The radiated power P (rate of emission of electromagnetic energy) of a hot body is proportional to the radiating surface area, A, and the fourth power of the thermodynamic temperature, T. The constant of proportionality is the Stefan-Boltzmann constant.
library.thinkquest.org /26635/theories4.html   (3318 words)

  
 Hubble Constant   (Site not responding. Last check: 2007-10-13)
The constant of proportionality (designated H) between recession velocity and distance in the Hubble law.
It is a constant of proportionality but not a constant in time, because it can change over the history of the universe.
Measuring the Hubble constant is difficult and remains and important task for astronomers.
www.astro.virginia.edu /class/hawley/glossary/hubble.htm   (97 words)

  
 Study Questions: Mathematics & Proportionality
What is meant by "proportionality?" Be sure that you understand the example, "The cost of a bag of apples is proportional to the weight of the bag of apples." What happens to the cost of a bag of apples if you double its weight?
What is a "constant of proportionality?"  In the proportionality between the weight of a bag of apples and its cost, what is the constant of proportionality?
Keep a list of all of the proportionalities that we cover in class (e.g., the acceleration an object experiences is proportional to the force applied; the force of gravity is proportional to one divided by the square of the distance between two objects, etc.).
eagle.la.asu.edu /ast112/StudyQuestions_math.htm   (303 words)

  
 SUN
, the constant of proportionality depends on the radial mass distribution and the radial distance R (Schwarzschild 1958; Haubold and Mathai 1987, 1992).
, the constant of proportionality is determined by the radial distribution of mass in the Sun, and the particular radial distance R at which P is measured (Schwarzschild 1958; Haubold and Mathai 1987, 1992).
M/R, the constant of proportionality depends on the mass distribution and the radial distance R (Schwarzschild 1958; Haubold and Mathai 1987, 1992).
www.columbia.edu /~ah297/un-esa/sun/sun-chapter1.html   (2929 words)

  
 Ashmore's paradox - the relation between the Hubble constant and the electron
The planck constant, h, is the constant of proportionality between the energy of a photon anf its frequency (E = hf).
The Hubble constant is concerned with the increase in wavelength, or decrease in frequency and energy of a photon.
If, in the Big Bang Theory, the Hubble constant is not related to the electron then it is highly improbable that at the first time we measure the value of H accurately, it just happens to be hr/m for the electron in each cubic metre of space.
www.lyndonashmore.com /ashmores_paradox.htm   (1460 words)

  
 The Cosmic Distance Ladder, III: Measuring the Hubble Constant
So important is measurement of the Hubble constant that many of the century's greatest astronomers have spent their entire careers working on the topic, and a principal justification for the Hubble Space Telescope was to measure it.
Hence, if the constant of proportionality is known, the distance can be determined to any galaxy, provided is speed of recession.
The formula for using the Hubble Constant to calculate age of the universe is supposed to be
www.suite101.com /article.cfm/astronomy/13754   (568 words)

  
 Examples of Proportionality and Multiple Ratios or Proportions
In equivalent fractions, simple or compound, the numerators are proportional to the denominator with proportional constant be given by the fraction as is or in equivalent form.
The ingredients ratios for to serve N are equivalent to ingredient ratios to serve one or another number M. In mixing concrete from sand, water and powdered cement, the amount of each ingredient required is proportional to the total amount of concrete needed.
When X and Y have the same units of measurement, the proportionality constant K is a pure number and it provides the slope of the line.
whyslopes.com /etc/fractions/fractions17b_examples_of_proportionality_and_.html   (1364 words)

  
 Modeling Malaria
The constant r is the growth rate or instantaneous growth rate or continuous growth rate, while dP/dt is the rate of change of the population.
The constant of proportionality infection_rate can be broken into two factors, the probability that a human is bitten by a mosquito (prob_bit) and the probability that a mosquito is a vector (prob_vector).
Similar to the situation for humans, we break the constant of proportionality into two factors, the probability that the mosquito bites a human (prob_bite_human) and the probability that a human is a host (prob_host).
wofford.org /ecs/ScientificProgramming/ModelingMalaria/material.htm   (3980 words)

  
 Gravitational constant - Wikipedia, the free encyclopedia
The gravitational constant is a physical constant which appears in Newton's law of universal gravitation and in Einstein's theory of general relativity.
However, it is worth mentioning that the aim of Cavendish was not to measure the gravitational constant but rather to measure the mass of the Earth through the precise knowledge of the gravitational interaction.
However, these dimensions have fundamental significance in terms of Planck units: when expressed in SI units, the gravitational constant is dimensionally and numerically equal to the cube of the Planck length divided by the Planck mass and by the square of Planck time.
en.wikipedia.org /wiki/Gravitational_constant   (820 words)

  
 Hubble Constant
The value of the Hubble Constant is important for both observations of the objects in the Universe, as it allows us to convert their recession velocities into true distances, and for estimating the age of the Universe.
The value of the Hubble constant therefore determines the rate at which the Universe is expanding, and equivalently allows us to roughly estimate the length of time it has been expanding, since the Big Bang, and thus the age of the Universe.
Hubble Space Telescope were to use it to measure the sizes of distant galaxies and to detect the variations in the luminosity of variable stars in distant galaxies.
www.phys.unsw.edu.au /astro/wwwlabs/hdfSize/hdfSize_intro.html   (1451 words)

  
 [No title]
The variable A and B and the constant are determined by the process under study.
Notice that the proportionality does not imply that the constant of proportionality cannot be changed.
The ideal gas law is a proportionality of the form PV T, where P is the pressure, V is the volume, and T is the temperature of the gas.
www.udayton.edu /~physics/jee/mathintr.htm   (1024 words)

  
 Inverse Variation   (Site not responding. Last check: 2007-10-13)
A constant of proportionality will be defined and its effect on a graph investigated.
When quantities vary inversely, the constant k is called the constant of proportionality.
Features of the graph to notice are the characteristic shape sloping negatively and the fact that the graph approaches the x-axis as x gets large (end behavior).
www.algebralab.org /lessons/lesson.aspx?file=Algebra_conics_inverse.xml   (347 words)

  
 Chapter 3. Planck's Constant
Therefore, the term, fundamental, universal physical constant of nature, or FUPCON, is a misnomer for constant of proportionality, which, itself, is a misnomer for collection of quantum-attribute factors.
Plausibly, Planck's constant is composed of a combination of the already-known, quantum attributes of the electron.
In the past, whenever Planck's constant showed up in yet another equation that dealt with quantized phenomena, many were quick to state that this reconfirmed the central importance of Planck's constant.
www.writword.com /unituniv/c03.htm   (1146 words)

  
 Modeling Example
Since we have a proportional relationship we know there is a proportionality constant in the final equation, which is a parameter.
We let "T" be the dependent variable, "t" be the independent variable, "andagr;" is the proportionality constant, and "TS" can be used to represent the surrounding temperature, another example of a parameter.
We note that the proportionality constant is negative as we would expect because the temperature will cool.
www.utpb.edu /scimath/wkfield/mod1/Modex.html   (1257 words)

  
 WMAP Cosmology 101: Expansion of the Universe
Thus the units of the Hubble constant are (km/sec)/Mpc.
The key project determination of the Hubble constant is consistent with a number of independent efforts to estimate the Hubble constant: a recent statistical synthesis by G.F.R. Ellis and his collaborators of the published literature yields a value between 66 and 82 (km/sec)/Mpc.
However, there is still not complete consensus on the value of the Hubble constant: a recent analysis by Allan Sandage using Type Ia supernovae yields a value for the Hubble constant that is formally inconsistent with many of measurements: 47 (km/sec)/Mpc.
map.gsfc.nasa.gov /m_uni/uni_101expand.html   (1581 words)

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