Fill in the blanks in the table, analyze the data, and answer the following questions. They are studying the possible effect of several variables upon the speed of a wave in a slinky. ![]() the exact period by first inverting the equation for the angular velocity. Stan and Anna are conducting a slinky experiment. The period of a simple harmonic motion depends on the semi-amplitude of the. ![]() Using the symbols v, λ, and f, the equation can be rewritten as v = f Īs a test of your understanding of the wave equation and its mathematical use in analyzing wave motion, consider the following three-part question: It states the mathematical relationship between the speed ( v) of a wave and its wavelength (λ) and frequency ( f). The above equation is known as the wave equation. Rearranging the equation yields a new equation of the form: Speed = Wavelength Since the period is the reciprocal of the frequency, the expression 1/f can be substituted into the above equation for period. Combining this information with the equation for speed (speed = distance/time), it can be said that the speed of a wave is also the wavelength/period. So in a time of one period, the wave has moved a distance of one wavelength. ![]() Observe that during this same amount of time, the leading edge of the disturbance has moved a distance equal to one complete wavelength. Observe that in the time it takes from the first to the last snapshot, the hand has made one complete back-and-forth motion. The motion of the disturbance along the medium after every one-fourth of a period is depicted. The diagrams at the right show several "snapshots" of the production of a wave within a rope.
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