Transverse Velocity of Wave

$v = omega * A *sin( k * x - omega * t )$

$(A)"Amplitude"$

$(omega)"Angular Frequency"$

$(x)"Location"$

$(k)"Wave Number"$

$(t)"Time"$

Tags

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

Peak amplitude
Peak-to-peak amplitude
Root mean square amplitude
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:

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