# Waves and Sounds

Selected questions

## Waves

What do ocean waves and light have in common? Explore the mechanics behind wave motion, the difference between transverse and longitudinal waves, and the mathematical descriptions that govern waves. Calculate properties of waves (like power and speed) and determine how they behave during interference and resonance.

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### Transverse Waves

Become familiar with the characteristics of transverse waves including wavelength, frequency, amplitude, phase, period, wave number, and wave speed.
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### Wave Speed

The speed of a traveling wave is one wavelength per period. Learn how wave patterns vary with displacement and time to move this distance each oscillation.
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### Energy and Power of a Wave

Study how the material characteristics of strings and the amplitude and frequency of traveling waves affect the energy they transport and the power they produce.
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### The Wave Equation

The wave equation is a general differential equation that dictates the travel of every type of wave. Use this equation to identify wave characteristics such as wave speed.
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### Interference of Waves

Predict the combined wave that results from the interaction of two or more waves using the superposition principle. Investigate the role phase plays in constructive or deconstructive interference.
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### Phasors

Phasors are vector representations of waves where the magnitude of the vector represents the amplitude of the wave. Solve for resultant waves using the unique mathematical properties of vectors.
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### Standing Waves and Resonance

Standing waves are produced when, at certain resonant frequencies, a continuous wave reflects and overlaps with itself. Learn how the wavelength, harmonic, and length of the string contribute to the standing wave pattern.
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## Sound

Why do certain combinations of notes sound so harmonious while others sound downright irritating? Discover the amazing properties of sound in various media, how sound travels from one point to another, and what makes one noise louder than another. Learn how interference patterns and beats create beautiful music, while sonic booms can cause major damage.

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### Speed of Sound

Find values for the speed of sound in different materials and solve for the time required for waves to travel various distances.
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### Traveling Sound Waves

Learn about the mathematical tools used to describe the oscillation, shape, and motion of waves as they move.
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### Interference of Sound Waves

Waves obey superposition, allowing them to occupy the same space at the same time as they pass through each other, causing interference. Apply this concept as you work through an interactive series of problems.
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### Intensity and Sound Levels

Dive into the decibel, a logarithmic scale used to measure the loudness of sound sources at various distances.
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### Beats

Examine similar wave sources as you solve for beat frequencies.
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### The Doppler Effect

Learn how pitch changes based on the position and velocity of both the source and receiver of sound waves.
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### Supersonic Speeds and Shock Waves

Use your knowledge of the speed of sound to analyze shock waves formed by supersonic objects.
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