A mosquito flaps its wings at a rate of 600 vibrations per...

A mosquito flaps its wings at a rate of 600 vibrations per second, which produces the annoying $600-\mathrm{H}_2$ buzz. Given that the speed of sound is $340 \mathrm{~m} / \mathrm{s}$, how far does the sound travel between wing beats? In other words, find the wavelength of the mosquito's sound.

Key Concepts

Frequency

Frequency refers to the number of complete cycles (or vibrations) that occur per unit time and is measured in Hertz (Hz). In the context of sound waves, the frequency determines the pitch of the sound, with higher frequencies corresponding to higher-pitched sounds. It plays a central role in determining the characteristics of the wave and is used directly in the calculation of wavelength.

Speed of Sound

The speed of sound is the rate at which sound waves propagate through a medium, typically measured in meters per second (m/s). This speed depends on the properties of the medium such as temperature and density. In wave-related calculations, the speed of sound is a crucial factor that links the frequency of a sound wave to its wavelength.

Wavelength

Wavelength is the distance between successive points of the same phase in a wave, such as crest to crest or trough to trough. It provides a spatial measure associated with the wave and is inversely related to frequency when the speed is constant. Understanding wavelength is essential for analyzing wave behavior in various physical contexts.

Wave Equation

The wave equation expresses the relationship between the speed of a wave, its frequency, and its wavelength, and is given by the formula: wavelength = speed ÷ frequency. This equation is fundamental for solving problems in wave physics, as it allows one to determine any one of these three quantities if the other two are known.

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