23.2 Waves A wave is an oscillation that travels from one place to another. If you poke a floating ball, it oscillates up and down. 23.2 Waves When you drop a ball into water, some of the water is pushed aside and raised by the ball. The oscillation spreads outward from where it started. 23.2 Waves Waves are a traveling form of energy because they can change motion. 23.2 Frequency, amplitude, and wavelength You can think of a wave as a moving series of high points and low points. A crest is the high point of the wave. A trough is the low point. Waves also carry information, such as sound, pictures, or even numbers. 23.2 Frequency 23.2 Wavelength The frequency of a wave is the rate at which every point on the wave moves up and down. Wavelength is the distance from any point on a wave to the same point on the next cycle of the wave. Frequency means “how often”. The distance between one crest and the next crest is a wavelength. Measured in hertz (Hz) A crest is the high point of the wave. Carried to every place the wave goes A trough is the low point. 1 Motion 23.2 Amplitude The amplitude of a water wave is the maximum height the wave rises above the level surface. Also determined by one-half the distance between the crest and trough of a wave 23.2 The speed of waves The speed of a water wave is how fast the wave spreads from where it begins, NOT how fast the water surface moves up and down or how fast the dropped ball moves in the water. The wave front is the leading edge of a moving wave. A plane wave – moving waves with crests in parallel straight lines A circular wave has crests forming a circle around a point where the wave began 23.2 The speed of waves A wave moves one wavelength in each cycle. Since a cycle takes one period, the speed of the wave is the wavelength divided by the period. How do we measure the wave speed? 23.2 The speed of waves The speed is the distance traveled (one wavelength) divided by the time it takes (one period). We usually calculate the speed of a wave by multiplying wavelength by frequency. Copy equation into bottom box on the right 2 Solving Problems The wavelength of a wave on a string is 1 meter and its speed is 5 m/s. Calculate the frequency and the period of the wave. 3. Relationships: 1. Looking for: v = f x λ or f = v / λ …frequency in hertz f = 1/T or T = 1/f …period in seconds 4. Solution 2. Given f = 5 m/s ÷1 m = 5 cycles/s …λ = 1 m; v = 5 m/s T = 1/5 cycles/s = 0.2 s f = 5 Hz T = 0.2 s 3
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