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Transverse Velocity of Wave

Last modified by
on
Oct 7, 2022, 7:53:16 PM
Created by
on
Apr 18, 2015, 8:47:47 PM
v=ω⋅A⋅sin(k⋅x−ω⋅t)
(A)Amplitude
(ω)Angular Frequency
(x)Location
(k)Wave Number
(t)Time
Tags
Physics UniPhys acceleration wave amplitude
UUID
2be88e0f-e60c-11e4-a3bb-bc764e2038f2

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.

/attachments/2be88e0f-e60c-11e4-a3bb-bc764e2038f2/330px-Sine_voltage.svg.png A sinusoidal curve

  1. Peak amplitude
  2. Peak-to-peak amplitude
  3. Root mean square amplitude
  4. Wave period

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:

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
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