a harmonic wave is represented by wave function (3cm)sin( 0.6x-2.2t+pi) determine amplitude, frequency, wavelength and velocity
Answer (1)
20th Dec, 2019
For any general wave in sinusoidal form,
y=A sin(kx−ωt+)
The meaning of the symbols are as follows :
A
= Amplitude
k=2π/λ
= wave number, where
λ
is wavelength
ω=2πf
= angular frequency, where
f=1/T
is frequency, and T is time period
= phase angle shift.
Equating this with your question, we directly get amplitude A as 3cm.
2.2 is 2πf. So frequency f = 2.2/2π = 0.35
0.6 is 2π/ λ. So wavelength λ = 2π/ 0.6 = 10.47
Now velocity = λ.f = 10.47 x 0.35 = 3.66
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