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The reciprocal of the Period is the Frequency, f. Thus, f = 1/T. The frequency indicates how many cycles exist in one second. To honor one of the 19th century researchers in the field, instead of calling the unit “cycles per second”, we use hertz, named after Heinrich Hertz and abbreviated Hz.
Frequency signals are usually sine waves, but can also be pulses or square waves. If the frequency signal is an oscillating sine wave, it might look like the one shown in Fig. 17.1.
1. One of the most important examples of periodic motion is simple harmonic motion (SHM), in which some physical quantity varies sinusoidally. Suppose a function of time has the form of a sine wave function, y(t) = Asin(2πt / T ) (23.1.1) where A > 0 is the amplitude (maximum value).
Frequency and Period of a Sine Curve. Step 1: Carefully and neatly transfer your sine curve onto the axes below. Next to the graph define the terms period, frequency and cycles per minute. Step 2: In the space below show how you determined the period, frequency and cycles per minute for your graph.
Objectives Given an equation, find the period (wavelength) and frequency. Given a graph, find the period (wavelength) and frequency. Graph waves of the form y =. sin(Bx).
The period of the sinusoid is length of one full cycle of the wave. The phase shift is a measure of how the sinusoid is horizontally shifted from the original sine function. Since the sine function sin is periodic with period 2ˇ, it completes one entire wave if 0 2ˇ.
EXAMPLES: For each of the following sine waves, sketch the graph of the trigonometric function and use it to calculate, explain and describe amplitude, periodic time and frequency.
