what is progressive wave? does it also called harmonic wave too?
Answers
Explanation:
Progressive Wave
A progressive wave is defined as the onward transmission of the vibratory motion of a body in an elastic medium from one particle to the successive particle.
Equation of a plane progressive wave
An equation can be formed to represent generally the displacement of a vibrating particle in a medium through which a wave passes. Thus each particle of a progressive wave executes simple harmonic motion of the same period and amplitude differing in phase from each other.
Let us assume that a progressive wave travels from the origin O along the positive direction of X axis, from left to right (Fig. 7.6). The displacement of a particle at a given instant is
y = a sin ωt …... (1)
where a is the amplitude of the vibration of the particle and ω = 2πn.
The displacement of the particle P at a distance x from O at a given instant is given by,
y = a sin (ωt - φ) …... (2)
If the two particles are separated by a distance λ, they will differ by a phase of 2π. Therefore, the phase φ of the particle P at a distance
x is φ = (2π/λ) x
y = a sin (ωt - 2πx/λ) …... (3)
Since ω = 2πn = 2π (v/λ), the equation is given by,
y = a sin [(2πvt/λ) - (2πx/λ)]
y = a sin 2π/λ (vt – x) …... (4)
Since, ω = 2π/T, the equation (3) can also be written as,
y = a sin 2π (t/T – x/λ) …... (5)
If the wave travels in opposite direction, the equation becomes,
y = a sin 2π (t/T + x/λ) …... (6)
Answer:
Progressive Waves. Waves move energy from one place to another. In a progressive wave the wave front moves through the medium. There are two types of waves, transverse and longitudinal. ... Longitudinal waves are waves where the displacement of the particles in the the same direction as the wave is travelling in.