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# Wave Speed Study Guide

The distance traveled by a wave in a particular length of time is referred to as wave speed.

# INTRODUCTION

The distance a wave travels in a particular amount of time, such as the number of meters a wave travels per second, is called the velocity of the wave.

Plucking a guitar string is an example of wave speed.

If someone plucks a guitar string, the strings appear to move in a transverse wave pattern. Although the sound wave is a longitudinal wave, the wave on the guitar is transverse. The particles in the string travel perpendicular to the wave's propagation direction.

## WAVE SPEED FORMULA Source

Wave speed equation (Speed = Wavelength x Frequency) relates wave speed to wavelength and frequency. When the wavelength and frequency are known, this equation can be used to calculate wave speed.

Wave frequency is the number of waves that move per second. In addition, the duration is calculated as the reciprocal of the frequency of the wave. Wave wavelength is the distance between the corresponding points of two consecutive waves.

## VARIABLES AFFECTING WAVE SPEED

• Wavelength
• Speed
• Distance
• Frequency

The above given four variables are affecting wave speed.

## THE MEDIUM'S DEPENDENCE

• The speed of most waves depends on the medium through which the wave travels.
• Waves generally pass through solids fastest and gas slowest.
• This is because the particles are closest to each other in a solid, while the particles are the closest to each other in a gas.
• If the particles are further apart, the energy distribution will take longer to pass through the medium from one particle to another.

## WAVE SPEED EXAMPLE source

## SUMMARY

• Wave speed equation (Speed = Wavelength x Frequency) relates wave speed to wavelength and frequency.
• When the wavelength and frequency are known, this equation can be used to calculate wave speed.
• The frequency of a wave is the number of waves that move in one second.
• In addition, the time period is calculated as the reciprocal of the wave frequency.
• The wavelength of a wave is the distance between any two consecutive waves' corresponding points.

## FAQs

Q. What is wave speed?

The distance traveled by a given point (e.g., the summit) of a wave at a given time interval is the velocity in the case of a wave.

Q. What is the speed of a wave that has a wavelength of 2 m and a frequency of 1.5 Hz?

Speed = Wavelength x Frequency

Speed = 2 x 1.5

Speed = 3 m/sec.

Q. Sound energy travels through matter in waves. Do sound waves travel faster through air or water? Explain your answer.

Liquids are not as densely packed. Gasses, on the other hand, are relatively loosely packed. This allows sound to travel much more quickly through a solid than through a gas. In water, sound travels four times quicker and farther than it does in air.

Q. What is the formula for the speed of a wave?

Wave Speed = Wavelength x Frequency

We hope you enjoyed studying this lesson and learned something cool about Wave Speed! Join our Discord community to get any questions you may have answered and to engage with other students just like you! We promise, it makes studying much more fun!😎

## REFERENCE

1. Wave Speed: https://byjus.com/physics/wave-speed/ Accessed 19th April 2022.
2. The Speed of Wave: https://www.physicsclassroom.com/class/waves/Lesson-2/The-Speed-of-a-Wave#:~:text=If%20the%20crest%20of%20an,wave%20is%202.5%20m%2Fs. Accessed 19th April 2022.
3. Wave Speed Formula: https://www.toppr.com/guides/physics-formulas/wave-speed-formula/ Accessed 19th April 2022.
4. Real-life Examples of Transverse Waves: https://studiousguy.com/real-life-examples-of-transverse-wave/ Accessed 19th April 2022.