The wavelength of the wave is 23.55 rad/s.
What is a wavelength simple definition?
Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
Distance b/w one crest and one trough is λ/2 and b/w two crests or two trough it is λ.
Therefore from 2nd crest to 6th trough the total distance
= 4 λ + λ /2 => 9 λ/2
that is given as:
9 λ/2 = 24 cm
λ= 16/3 cm
V = w/k => w × λ /2pi => w = 2 × 3.14 × 20 × 3/16 => 23.55 rad/s
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