Transverse wave amplitude wavelength relationship

Travelling Waves

transverse wave amplitude wavelength relationship

The Relationship between Wave Frequency, Period, Wavelength, and Velocity . pressure waves (P-waves) and the transverse waves are called shear waves. The amplitude of a wave is the maximum disturbance or displacement of the The symbol for the wavelength is λ (the Greek letter lambda) and wavelength is. A transverse wave is a wave in which the particles of the medium are displaced in and transverse waves, the wavelength-frequency-period relationship, sound .

If a pulse is introduced into two different slinkies by imparting the same amount of energy, then the amplitudes of the pulses will not necessarily be the same. In a situation such as this, the actual amplitude assumed by the pulse is dependent upon two types of factors: Two different materials have different mass densities.

The imparting of energy to the first coil of a slinky is done by the application of a force to this coil.

The Anatomy of a Wave

More massive slinkies have a greater inertia and thus tend to resist the force; this increased resistance by the greater mass tends to cause a reduction in the amplitude of the pulse. Different materials also have differing degrees of springiness or elasticity. A more elastic medium will tend to offer less resistance to the force and allow a greater amplitude pulse to travel through it; being less rigid and therefore more elasticthe same force causes a greater amplitude.

Energy-Amplitude Mathematical Relationship The energy transported by a wave is directly proportional to the square of the amplitude of the wave. This energy-amplitude relationship is sometimes expressed in the following manner. This means that a doubling of the amplitude of a wave is indicative of a quadrupling of the energy transported by the wave.

The Anatomy of a Wave

A tripling of the amplitude of a wave is indicative of a nine-fold increase in the amount of energy transported by the wave. And a quadrupling of the amplitude of a wave is indicative of a fold increase in the amount of energy transported by the wave. The table at the right further expresses this energy-amplitude relationship. Observe that whenever the amplitude increased by a given factor, the energy value is increased by the same factor squared.

For example, changing the amplitude from 1 unit to 2 units represents a 2-fold increase in the amplitude and is accompanied by a 4-fold 22 increase in the energy; thus 2 units of energy becomes 4 times bigger - 8 units. As another example, changing the amplitude from 1 unit to 4 units represents a 4-fold increase in the amplitude and is accompanied by a fold 42 increase in the energy; thus 2 units of energy becomes 16 times bigger - 32 units.

Wave motion - Waves - Physics - FuseSchool

Both transverse and longitudinal waves are produced when an earthquake occurs. Only longitudinal waves can travel through a fluid, because any transverse motion would experience zero restoring force since a fluid is readily deformable.

These waves are mainly responsible for the damage caused by earthquakes. Water waves A water wave is a surface wave that moves along the boundary between the water and the air. The motion of each water molecule at the surface is elliptical and so is a combination of transverse and longitudinal motions. Below the surface, the motion is only longitudinal. Tsunami Tsunami is the name given to the very long waves on the ocean generated by earthquakes or other events which suddenly displace a large volume of water.

transverse wave amplitude wavelength relationship

Knowing the period of a wave is fine, but we often need to talk about waves in terms of how often the wave cycles are coming. In other words, we want to know the frequency of a wave. A wave's frequency is the number of cycles that are completed in a certain amount of time.

The symbol for frequency is the lowercase f, and we measure it in cycles per second, which is the same as the unit hertz. A wave with a frequency of 20 Hz completes 20 wave cycles every second. Be careful that you don't confuse frequency with period. This is a common mistake. Frequency and period are actually opposites. While period is measured in seconds per cycle, frequency is measured in cycles per second.

  • Wave parameters and behaviours
  • Wave Parameters: Wavelength, Amplitude, Period, Frequency & Speed
  • Energy Transport and the Amplitude of a Wave

Consider our wave with a period of 2 seconds. Since the wave completes one cycle every two seconds, then its frequency is one half or 0.

transverse wave amplitude wavelength relationship

So, you see - period and frequency are reciprocals of each other. We can represent their relationship with a simple equation: This equation represents the relationship between frequency and period.

transverse wave amplitude wavelength relationship

The greater the period is for a wave, the less wave cycles can fit within a second, and so the lower the frequency gets.

Likewise, a wave with a larger frequency would have to fit more wave cycles into every second, meaning the period of each cycle would have to be smaller.

BBC Bitesize - National 5 Physics - Wave parameters and behaviours - Revision 1

No matter what kind of wave you're looking at, the period and frequency will always be inversely proportional to each other. Amplitude and Energy So, now we know how to measure a wave based on cycles and time, but what about the height of a wave? Can we measure how high a wave's crest reaches or how low the trough dips down?