Question
Physics Question on Waves
The equation of progressive wave is y=5sin(6t + 0.03x). Find the speed of wave
Answer
The standard equation of the progressive is given by
y = A sin (ωt + kx)
Where
A = maximum amplitude of the wave
ω = angular frequency
k = angular wave number
Comparing given equation of progressive wave y = 5sin(6t + 0.03x) with the standard equation, we get
A = 5 unit, ω = 6 unit, and k = 0.03 unit
Now speed of the progressive wave is given by
v=k=60.03=200 unit
Answer. 200