What is the best way to derive the frequency response of a system when having the time response?
405837
You need to have recorded the power over a range of frequencies and ploted the Output over the Input. If the chirp signal can be extrapolated into its freqency components possibly you can compare the output to this, otherwise a new set of data points are required.
380248
Firstly I'd like to explain what is frequency weighting used for: Frequency weighting improves correlation between any noise effect and fuzzy responses (like human responses). In fact, it improves REALIZATION of a simplified model of hard physical actions like vibrations, explosions, expansions, etc. In this case, a noise with frequency element vector of N(0), which is not zero at any frequency, is convolved with the model response. If you'd like to take a more accurate mean value of the freq. response, then you can extract RMS from this convolution, which is named frequency weighted RMS.
894747
Set the string vibrating. Use a variable frequency xenon lamp, and keep changing the rate until the string appears to be a static wave. Then you know the frequency of vibration. At this stage you can also measure the wavelength of the vibration. The velocity is then wavelength*frequency.
892848
One of the most frequently used is E=IR    ;E =voltage    I=current   R= resistance. U can change this every way depending on the unknown.\n    Good luck
795446
f = (1/2pi)sqrt(k/m); where f = frequency of oscillation, m = mass, and k = spring coefficient\n\nThus f' = f [sqrt(k/2m)/sqrt(k/m)] = f sqrt(m/2m) = f sqrt(1/2); where f' is the frequency of the spring with 2m mass.\n\nThe physics lesson is that spring frequencies vary as the square root of the masses. [See source.]
283860
Frequency = speed of light/wavelength.\n\nMake sure you keep the units straight when performing the calculations or it may not make sense.\n\nSo for your problem its (3 x 10^17 )/200 = 1.5 x 10^15 Hz
808431
.  Electrical resonance is not generally related to mechanical resonance.  It would be possible, with considerable calculation and inventiveness to put together a device which vibrated in time with or at a harmonic fraction of its electrical resonant frequency, but it would be a real academic undertaking.\n.  There is no single equation to calculate the resonant frequency of "an object".  If you narrowly define the object as say "a taut string" or "a circular plate", equations of only a few terms can be derived for each of those cases, but the equations would not be the same for different cases.  There would be similarities, but they would have diffent constants and different variables.  Most objects would require the development of a complicated mathematical description of the interelatedness of the masses, elastic properties, dimensions, stiffnesses and coupling mechanics of the various components of the object in order to calculate a resonant frequency.  For some complex objects, which are dominated by a single large and simple structure, like say the cylindrical fuselage of an airplane, there are formulae to calculate the resonant frequency.  For objects like suspension bridges, or cable stayed bridges or skyscrapers, it is necessary to go through the pains of developing a mathematical model to find a range within which the object will resonate.  For most objects, you just build it, test it and then do something to eliminate undesirable resonances.\n.  Pretty much the same can be said about calculating the electrical resonance of an object.\n.  For simple resonant circuits there are straightforward formulae for calculating their resonant frequencies, but the formulae are different for different types of resonant circuits.  Whatever text I might have on resonance of electrical circuits is buried in a box somewhere, but should be able to find a book which includes these formuale and other electrical formulae at a college library, online or maybe even at some place like Radio Shack®.
887961
Use the general equation for Doppler effect from here( http://en.wikipedia.org/wiki/Doppler_effect ). f'/f = .86 and v0 =0 for you since the observer isn't moving. Note that since the frequency is lower that it must be moving away from you.
486296
s(n) =  [1-r^n]*a/(1-r) + [(1-n)r^n]*d/(1-r) + [1-r^(n-1)]*dr/(1-r)^2\nfor n > 0\n\ns(infinity) = (a + r(d-a))/(1-r)^2\nfor |r| < 1\n\nSee simulation\nhttp://www.geocities.com/derekcowley/public/agp.xls\n\nproof:\n\ncompute the difference equation:\ny(n) = [a + (n - 1)d]*r^(n-1) = a*r^(n-1) + (n-1)d*r^(n-1)\ny(n+1) = [a+nd]*r^n = a*r^n + nd*r^n = y(n)*r  + d*r^n\ny(n+1) = y(n)*r  + d*r^n\n\ngenerate the LTI discrete time system state space:\n\nx2(n) = r^(n-1)\nx2(n+1) = r*x2(n)\nx1(n+1) = r*x1(n) + d*x2(n) \nx1(1) = a\nx2(1) = r\n\nX(n+1) = A*X(n) + B*delta(n)\ny(n+1) = C*X(n)\n\nwhere A is a 2x2 matrix [r,d;0,r]\nB is column vector [a;r]\nC is a row vector [1,0]\ndelta(n) = 1 for n=0, 0 otherwise\n\nCompute the Z-transform:\n\nH(z) = C*[(zI-A)^(-1)]*B = a/(z-r) + dr/(z-r)^2\n\ncompute running sum:\n\nAccumulator U(z) = z/(z-1)\nS(z) = H(z)*U(z) = az/(z-1)(z-r) + drz/(z-1)(z-r)^2\n\nCompute partial sum (partial fraction expansion):\n\nS(z) = e/(z-1) + f/(z-r) + g/(z-r)^2\n\ne = a/(1-r) + dr/(1-r)^2\nf = -ar/(1-r) - dr/(1-r)^2\ng = -dr^2/(1-r)\n\nInverse Z-transform\n\ns(n) = e  + f*r^(n-1) + g*(n-1)r^(n-2) [n>0]\n= see top line above\n\nTo see a spectral analysis of the sequence based on pole/zero locations see\nhttp://www.geocities.com/derekcowley/public/agp2.xls\nYou will need the "Analysis ToolPak" add-in in Excel to properly see this file.
85181
The real pendulum is not described by sines and cosines, or even damped sines and cosines, but matheiu functions. \n\nLd/dt(dA/dt)+g sin A=0\n\nwhere L is the length of pendulum, A is the angle of displacement, t is time, g is the acceleration of gravity.\n\nFor small A, this is approximated as\n\nLd/dt(dA/dt)+gA=0\n\nHowever, this still does not take a lot of other factors into account, that would produce a loss of energy. The quality factor is only relevant if energy is lost as the pendulum oscillates. (If there is no energy loss, you will have an infinite quality factor, since quality factor is inversely proportional to damping factor, and if there is no damping, then the Q must be infinite). You have to add frictional terms, and then solve or approximate the solution to the equation for small angular displacement, or do a brute force exact solution. \n\nThe second reference describes how to relate the parameters of the solution to your equation to the quality factor. \n\nA simple version would be to solve the equation\n\nLd/dt(dA/dt)+bdA/dt+gA=0\n\nwhere b is some sort of frictional factor, that can contain the effects of energy loss in the string, frictional force in the air, and so on. The references show how to relate this to the quality factor.
572734
Frequency is measured in Hertz, or inverse seconds.  So take the inverse of 6, which would be 1/6, which is your frequency.  Tada!
164646
You mean a 'frequency of 5.10^12Hz'\n\nCan you work it out yourself?:\n\nRemember that the speed (v) of the wave is 3×10^8 m/s,\nand that the wavelength is given by v/f\n\n[Edit: Darn, Kirchwey - don't do Glow's homework for her! ;-) ]
584010
E = 1/2 M x v^2 x F x H \n \nWhere v is the velocity of the load hitting the surface and H is the time period in which the frequency continues.
163726
It is Parseval's theorem you seek. "The total energy contained in a waveform x(t) summed across all of time t is equal to the total energy of the waveform's Fourier Transform X(f) summed across all of its frequency components f."\n\nFor a periodic signal, take the energy in each frequency for one period.  Sum those and you have the total energy.  The maximum amplitude during the period would be if all of that energy occured at once (i.e. an  impulse).  Convert that to dBm or DBW and you have your answer in dB.\n\nLook at the last equation in the link in "sources".
957687
you would hear the resultant of the two frequencies both in frequencie and amplitude.
365798
http://physics.nist.gov/GenInt/Time/time.html
450183
this might prove to be useful:\nhttp://islab.oregonstate.edu/koc/ece575/02Project/Mor/