Examples of wave speed in the following topics:
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- The speed of a wave on a string can be found by multiplying the wavelength by the frequency or by dividing the wavelength by the period.
- Find the speed of a wave on a string with the following properties: frequency:10 Hzwavelength:0.25 mSolution:$v=f\lambda\\ v=10 Hz* 0.25m\\ v=2.5 \frac ms$
- The wave that occurs due to this motion is called a transverse wave.
- The speed of a wave on this kind of string is proportional to the square root of the tension in the string and inversely proportional to the square root of the linear density of the string:$v=\sqrt{\frac{T}{\mu}}$
- In transverse waves, the media the wave is traveling in moves perpendicular to the direction of the wave.
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- Waves are defined by its frequency, wavelength, and amplitude among others.
- Frequency and wavelength can also be related-* with respects to a "speed" of a wave.
- where v is called the wave speed, or more commonly,the phase velocity, the rate at which the phase of the wave propagates in space.
- Finally, the group velocity of a wave is the velocity with which the overall shape of the waves' amplitudes — known as the modulation or envelope of the wave — propagates through space.
- Conversely we say that the purple wave has a high frequency.
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- The speed of sound is is the distance traveled in a unit of time by a sound wave through an elastic medium, and is usually given as 344 m/s.
- The speed of sound is is the distance traveled in a unit of time by a sound wave through an elastic medium.
- The general value given for the speed of sound is the speed of a sound wave in air, at sea level, at normal atmospheric pressure; that number is 344 m/s.
- There are two different kinds of sound waves: compression waves and shear waves.
- The speed of a compression wave is determined by the media's compression capacity, shear modulus, and density, while the speed of the shear wave is only determined by the shear modulus and density.
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- Water waves can be commonly observed in daily life, and comprise both transverse and longitudinal wave motion.
- The uniqueness of water waves is found in the observation that they comprise both transverse and longitudinal wave motion.
- As long as the waves propagate slower than the wind speed just above the waves, there is an energy transfer from the wind to the waves.
- Since water waves transport energy, attempts to generate power from them have been made by utilizing the physical motion of such waves.
- Although larger waves are more powerful, wave power is also determined by wave speed, wavelength, and water density.
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- A sonic boom is the sound associated with the shock waves created by an object traveling through the air faster than the speed of sound.
- A sonic boom is the sound associated with the shock waves created by an object traveling through the air faster than the speed of sound.
- These waves are travelling at the speed of sound, and as the speed of the sound source increases, the waves, not being able to get out of each other's way, are forced together.
- They eventually merge into a single shock wave traveling at the speed of sound.
- Since the source is moving faster (with a speed ) than the sound waves it creates, it actually leads the advancing wavefront.
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- Transverse waves propagate through media with a speed $\vec{v}_w$ orthogonally to the direction of energy transfer.
- When a wave travels through a medium--i.e., air, water, etc., or the standard reference medium (vacuum)--it does so at a given speed: this is called the speed of propagation.
- The speed at which the wave propagates is denoted and can be found using the following formula:
- where v is the speed of the wave, f is the frequency, and is the wavelength .
- Therefore an electromagnetic wave consists of two transverse waves, visible light being an example of an electromagnetic wave.
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- It is also the speed of gravity (i.e., of gravitational waves) predicted by current theories.
- Such particles and waves (including light) travel at c regardless of the motion of the source or the inertial frame of reference of the observer.
- The first quantitative estimate of the speed of light was made in 1676 by Rømer.
- The speed at which light waves propagate in vacuum is independent both of the motion of the wave source and of the inertial frame of reference of the observer.
- Discuss the invariance of the speed of light and identify the value of that speed in vacuum
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- When vibrations in the string are simple harmonic motion, waves are described by harmonic wave functions.
- The particle attains the greatest speed at the mean position and reduces to zero at extreme positions.
- We can determine speed of the wave by noting that wave travels a linear distance " in one period (T).
- Thus, speed of wave is given by :
- Express relationship between the wave number and the wavelength, and frequency and period, of the harmonic wave function
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- A standing wave is one in which two waves superimpose to produce a wave that varies in amplitude but does not propagate.
- These waves are formed by the superposition of two or more moving waves for two identical waves moving in opposite directions .
- The resultant looks like a wave standing in place and, thus, is called a standing wave.
- Standing waves on strings have a frequency that is related to the propagation speed vw of the disturbance on the string.
- A standing wave (black) depicted as the sum of two propagating waves traveling in opposite directions (red and blue).
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- Its effects can be observed in all types of waves (for example, light, acoustic waves and water waves).
- Destructive interference occurs when the crest of one wave meets a trough of another wave.
- A simple form of wave interference is observed when two waves of the same frequency (also called a plane wave) intersect at an angle , as shown in .
- When light goes from a vacuum to some medium (like water) its speed and wavelength change, but its frequency f remains the same.
- The speed of light in a medium is v = c/n, where n is the index of refraction.