The Transverse Velocity of a Wave calculator computes the transverse velocity of a wave (v) based on the amplitude (A), angular frequency (ω), location (x), wave number (k) and time (t).

INSTRUCTIONS: Choose units and enter the following:

• (A) Amplitude
• (ω) Angular Frequency
• (x) Location
• (k) Wave Number (units of radians per meter)
• (t) Time

Transverse Velocity(v): The velocity is returned in meters per second (m/s).  However this can be automatically converted into other velocity units via the pull-down menu.

The Math / Science

The transverse velocity of a wave equation is:

v = ω•A•sin(k•x-ω•t)

where:

• v is the transverse velocity 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

Related Calculators:

• Acceleration of a Wave

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 15.9