Define Transverse Waves

Introduction of Transverse Waves:

A progression or travelling types of waves is a disturbance which carries energy from one place to another without transferring matter. There are two types, transverse and longitudinal waves.In define transverse waves; the direction of the disturbance is at right angles to the direction of travel of the waves. Let we see about the types and properties of the transverse waves with diagram. Example: Water waves.

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Properties and Types of Transverse Waves:

Properties of Transverse Waves:

Wavelength - Distance between two successive crest or trough and is represented as lambda λ.
Frequency – Number of complete waves generated per second and its unit is Hertz (HZ).
Amplitude – Height of a crest or the depth of a trough measured from the undisturbed position of what is carrying the wave. Example – a rope
Phase: The dot at A, B, C, D, E represents the end of the phase. Let we see about the types of transverse waves.


Types of Transverse Waves:

There are four types of define transverse waves. They are of the following.

Sine Wave – Transverse
Square Wave – Transverse:
Triangle Wave – Transverse:

Transverse Waves Equation:

When the rope is vibrated, the shorter the wavelength of the wave produced. That is, the higher the frequency of the wave, the smaller its wavelength. There is a useful connection between f, λ and v which is true for all type of wave. Therefore we get the define transverse equation is of follow.

Speed of the wave = frequency* (wavelength)

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Example Problems – Define Transverse Waves:

Example 1:

What will the speed of the wave v, when the wavelength of the wave λ is 20 cm travel on a long rope and three crests pass a certain point every second and its frequency is f = 3 HZ?

Solution:

To find: The speed of the wave.

v = f * λ

v = 3 * (20) = 60 cm per sec (60 cm / s).

Answer: v = 60 cm/s

Example 2:

What will be the frequency of define transverse wave, when the speed of the wave is 50 cm / s and the wavelength of wave is 25 cm?

Solution:

To find: The frequency (f) of the wave.

v = f * λ -> f = v / λ

f = 50 / 25 = 2 HZ.

Answer: the frequency of the wave is 2 HZ