Wave Properties: Speed, Amplitude, Frequency, and Period Quiz

PDF page 408: • Period—time it takes for one wave cycle to complete

PDF page 408: In addition to amplitude, frequency, and period, their wavelength and wave velocity also characterize waves. The wavelength is the distance between adjacent identical parts of a wave, parallel to the direction of propagation. The wave velocity is the speed at which the disturbance moves.

PDF page 408: Wave velocity is sometimes also called the propagation velocity or propagation speed because the disturbance propagates from one location to another.

PDF page 409: velocity vw. Its amplitude X is the distance between the resting position and the maximum displacement—either the crest or the trough—of the wave. It is important to note that this movement of the wave is actually the disturbance moving to the right, not the water itself; otherwise, the bird would move to the right. Instead, the seagull bobs up and down in place as waves pass underneath, traveling a total distance of 2X in one cycle. However, as mentioned in the text feature on surfing, actual ocean waves are more complex than this simplified example.

PDF page 409: just as in the case of harmonic motion of an object. We can see from this relationship that a higher frequency means a shorter period. Recall that the unit for frequency is hertz (Hz), and that 1 Hz is one cycle—or one wave—per second. The speed of propagation vw is the distance the wave travels in a given time, which is one wavelength in a time of one period. In

PDF page 409: just as in the case of harmonic motion of an object. We can see from this relationship that a higher frequency means a shorter period. Recall that the unit for frequency is hertz (Hz), and that 1 Hz is one cycle—or one wave—per second. The speed of propagation vw is the distance the wave travels in a given time, which is one wavelength in a time of one period. In

PDF page 409: just as in the case of harmonic motion of an object. We can see from this relationship that a higher frequency means a shorter period. Recall that the unit for frequency is hertz (Hz), and that 1 Hz is one cycle—or one wave—per second. The speed of propagation vw is the distance the wave travels in a given time, which is one wavelength in a time of one period. In

PDF page 410: or 13.4 From this relationship, we see that in a medium where vw is constant, the higher the frequency, the smaller the wavelength. See

PDF page 410: Figure 13.8 Because they travel at the same speed in a given medium, low-frequency sounds must have a greater wavelength than high-

PDF page 410: frequency sounds. Here, the lower-frequency sounds are emitted by the large speaker, called a woofer, while the higher-frequency sounds are emitted by the small speaker, called a tweeter. These fundamental relationships hold true for all types of waves. As an example, for water waves, vw is the speed of a surface wave; for sound, vw is the speed of sound; and for visible light, vw is the speed of light. The amplitude X is completely independent of the speed of propagation vw and depends only on the amount of energy in the wave.

PDF page 412: Calculate the wave velocity of the ocean wave in the previous figure if the distance between wave crests is 10.0 m and the time for a seagull to bob up and down is 5.00 s. STRATEGY and the period are given and we are asked to find Therefore, we The values for the wavelength to find the wave velocity. can use

PDF page 412: Discussion This slow speed seems reasonable for an ocean wave. Note that in the figure, the wave moves to the right at this speed, which is different from the varying speed at which the seagull bobs up and down.

PDF page 412: The woman in creates two waves every second by shaking the toy spring up and down. (a)What is the period of each wave? (b) If each wave travels 0.9 meters after one complete wave cycle, what is the velocity of wave propagation? STRATEGY FOR (A) , given the value of the frequency To find the period, we solve for

PDF page 413: a. The period of the wave is 100 s.

PDF page 413: b. The period of the wave is 10 s.