A wave is described by y = (2.05 cm) sin(kx - t), where k = 2.13 rad/m, = 3.58 rad/s, x is in meters, and t is in seconds, how do you determine the amplitude, wavelength, frequency, and speed of the wave?

1 Answer
Gió
Jun 25, 2015

I think there is something missing...
Try this:

Explanation:

I may be wrong but I think there is a bit missing from your wave:
#y=(2.05cm)sin(kx-color(red)(omega)t)#
Where #omega=3.58(rad)/s#

The amplitude is the number in front of #sin# so: #A=2.05cm=0.0205m#
You get the wavelength #lambda# from #k# as: #k=(2pi)/lambda# so #lambda=2.95m#;
Frequency is found from #omega=(2pi)/T=2pinu# where #T# is the period and #nu# is the frequency; so # nu=0.57s^(-1)=0.57Hz#;
Finally, speed will be #v=#distance/time#=lambda/T=lamdanu=1.7m/s#

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