![]() ![]() These come in a few different acceleration ranges and can be used to acceleration between 0.1g and 2,000g and frequency ranges under 2,000 Hz. If you are interested in this tool you will likely be in need of some acceleration data! We have a product line of sensors and software called enDAQ to consider. We explain more about Nyquist frequency and aliasing in a blog post. At 99 cycles, due to the ineffectiveness of our sample rate, the data acquisition system would believe it cleanly measured 1 cycle. At 1/2 the "sample rate" or Nyquist frequency the signal "folds" in on itself. This same phenomenon occurs in your vibration testing - if you are not sampling fast enough you will miss important characteristics of your vibration profile.Īs the number of cycles increases to 1/2 the "sample rate" (100 data points), more and more information is missed in the waveform. When more cycles are plotted with only those 100 data points, the plots become increasingly jagged. For example, the waveforms look "clean" at 10 or fewer cycles (a sample rate that is 10x the frequency of interest). This was done on purpose to help illustrate the importance of sampling rate. Please note that there are only 100 data points plotted in the simple harmonic motion plots. ![]() These waveforms represent the displacement, velocity, and acceleration as a function of time given the provided or calculated amplitudes and frequency. These governing equations of motion are explained in more depth below in the Simple Harmonic Motion Equations section. The other plot displays a few cycles, as defined by the above dialog box, for displacement, velocity, and acceleration. The intersection of these two lines occur at the variable values defined by the user in the above number fields. The frequency, displacement, velocity, acceleration relationship plot above displays two lines that illustrate how velocity and frequency change if acceleration (blue line) or displacement (orange line) is kept constant. Displacement, Velocity, Acceleration, Frequency Plots Refer to the plots for more information on how these motion waves change over time. An important note is that they represent amplitude (zero-to-peak) not peak-to-peak values. These governing equations of motion are explained in more depth below in the Simple Harmonic Motion Equations section.Īll these values automatically update when changing any variable. When changing the frequency value, the calculator assumes acceleration to be constant and calculates velocity and displacement using this new value for frequency.When changing values for displacement, velocity or acceleration the calculator assumes the frequency stays constant to calculate the other two unknowns.This tool calculates the variables of simple harmonic motion (displacement amplitude, velocity amplitude, acceleration amplitude, and frequency) given any two of the four variables. Simple Harmonic Motion Calculator - How it Works Displacement, Velocity, Acceleration, Frequency Calculations ![]()
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