For sound waves, the period and the frequency of a pitch are...

For sound waves, the period and the frequency of a pitch are reciprocals of each other: period $=\frac{\text { seconds }}{\text { cycle }}$ and frequency $=\frac{\text { cycles }}{\text { second }} .$ Write an equation for each pitch. Let $\theta=$ time in seconds, Use $a=1$. the lowest pitch easily heard by humans: 30 cycles per second

For sound waves, the period and the frequency of a pitch are reciprocals of each other: period $=\frac{\text { seconds }}{\text { cycle }}$ and frequency $=\frac{\text { cycles }}{\text { second }} .$ Write an equation for each pitch. Let $\theta=$ time in seconds, Use $a=1$.
the lowest pitch easily heard by humans: 30 cycles per second

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Key Concepts

Frequency

Frequency refers to the number of cycles a wave completes per second. It is measured in Hertz (Hz) and directly correlates with the pitch of a sound. A higher frequency corresponds to a higher pitch and vice versa.

Period

The period is the time interval required for one complete cycle of the wave, measured in seconds. It is the reciprocal of the frequency, meaning that as the frequency increases, the period decreases.

Reciprocal Relationship

This concept emphasizes that frequency and period are inversely related: frequency is equal to 1 divided by the period. This relationship is fundamental in understanding the behavior of oscillatory systems, including sound waves.

Trigonometric Wave Equation

The trigonometric wave equation uses sinusoidal functions (sine or cosine) to represent periodic motions, such as sound waves. The equation typically takes the form y = a sin(2?ft) when there is no phase shift, where 'a' is the amplitude, 'f' is the frequency, and '?' (or t) is time.

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