Question:
In the given progressive waves y = 5 sin (100 πt – 0.4 πx) where y and x are in m, t is in s. What is the
(a) amplitude
(b) wavelength
(c) frequency
(d) wave velocity
(e) particle velocity amplitude
Solution:
Given,
The wave is travelling in +x direction
The equation is
y = 5 sin (100 πt – 0.4 πx)
(a) amplitude, a = 5 m
(b) wavelength, λ = 2π/ λ = 5 m
(c) frequency, v = 50 Hz
(d) wave velocity, v = 250 m/s
(e) particle velocity amplitude = 500 π m/s
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