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particle acceleration : ウィキペディア英語版
particle acceleration

In a compressible sound transmission medium - mainly air - air particles get an accelerated motion: the particle acceleration or sound acceleration with the symbol a in metre/second². In acoustics or physics, acceleration (symbol: ''a'') is defined as the rate of change (or time derivative) of velocity. It is thus a vector quantity with dimension length/time². In SI units, this is m/s².
To accelerate an object (air particle) is to change its velocity over a period. Acceleration is defined technically as "the rate of change of velocity of an object with respect to time" and is given by the equation
:
\mathbf =

where
*''a'' is the acceleration vector
*''v'' is the velocity vector expressed in m/s
*''t'' is time expressed in seconds.
This equation gives ''a'' the units of m/(s·s), or m/s² (read as "metres per second per second", or "metres per second squared").
An alternative equation is:
:
\mathbf - \mathbf \over t}

where
:\mathbf is the initial velocity (m/s)
\mathbf is the final velocity (m/s)
t is the time interval (s)
Transverse acceleration (perpendicular to velocity) causes change in direction. If it is constant in magnitude and changing in direction with the velocity, we get a circular motion. For this centripetal acceleration we have
: \mathbf = - \frac \frac = - \omega^2 \mathbf
One common unit of acceleration is ''g-force'', one ''g'' being the acceleration caused by the gravity of Earth.
In classical mechanics, acceleration a \ is related to force F \ and mass m \ (assumed to be constant) by way of Newton's second law:
:
F = m \cdot a

== Equations in terms of other measurements ==
The Particle acceleration of the air particles ''a'' in m/s² of a plain sound wave is:
:
a = \delta \cdot \omega^2 = v \cdot \omega = \frac = \omega \sqrt \frac = \omega \sqrt \frac = \omega \sqrt \frac


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「particle acceleration」の詳細全文を読む



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