Question

define velocity of a particle​

Answer 1

Particle velocity is the velocity of a particle (real or imagined) in a medium as it transmits a wave. The SI unit of particle velocity is the metre per second (m/s). In many cases this is a longitudinal wave of pressure as with sound, but it can also be a transverse wave as with the vibration of a taut string.

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Answer 2

Explanation:

Particle velocity is the velocity of a particle (real or imagined) in a medium as it transmits a wave. The SI unit of particle velocity is the metre per second (m/s). In many cases this is a longitudinal wave of pressure as with sound, but it can also be a transverse wave as with the vibration of a taut string.

Particle velocity, denoted

OR

${\displaystyle \mathbf {v} }\mathbf {v} , is \: defined \: by</p><p> \\ {\displaystyle \mathbf {v} ={\frac {\partial \mathbf {\delta } }{\partial t}}}\mathbf v = \frac{\partial \mathbf \delta}{\partial t}</p><p>where \: {\displaystyle \delta }\delta \: is \: the \: particle \: displacement.$

Sound velocity level (SVL) or acoustic velocity level or particle velocity level is a logarithmic measure of the effective particle velocity of a sound relative to a reference value.

Sound velocity level, denoted $L_{v}$and measured in dB, is defined by

$L_{v}=ln( \frac{v}{v_{0}} ) Np= 2log_{10}( \frac{v}{v_{0}} ) B=20log_{10}( \frac{v}{v_{0}} ) dB$

where

• v is the root mean square particle velocity;
• v_{0} is the reference particle velocity;
• 1 Np = 1 is the neper;
• 1 B = $\frac{1}{2)$ ln 10 is the bel;
• 1 dB =$\frac{1}{20}$ ln 10 is the decibel.

The commonly used reference particle velocity in air is

$v_{0}=5×{10}^{-8}m/s$

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