The Acceleration of a Wave  calculator computes the acceleration of a wave (y) based on the amplitude (A), angular frequency (ω), location (x), wave number (k) and time (t).

INSTRUCTIONS: Choose the preferred units and enter the following:

• (A) This is the amplitude
• (ω) This is the angular frequency
• (x) This is the location
• (k) This is the wave number
• (t) This is the time

Wave Acceleration(y): The velocity is returned in meters per second squared (m/s²).  However this can be automatically converted into other acceleration units via the pull-down menu.

The Math / Science

The Acceleration of a Wave equation is:

y  = -ω²•A•cos(k•x-ω•t)

where:

• y is the acceleration of the wave
• A is the amplitude
• ω is the angular frequency
• x is the location
• k is the wave number
• t is the time

Reference

Young, Hugh and Freeman, Roger.  University Physics With Modern Physics.  Addison-Wesley, 2008. 12th Edition, (ISBN-13: 978-0321500625 ISBN-10: 0321500628 ) Pg 496, eq 15.10