Question

The equation of progressive wave is y=0.01sin(100t-x) where x,y are in meter and t in second,then

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Answer 1

Given: The equation of progressive wave is y = 0.01 sin (100t - x)

To find:  The wave speed?

Solution:

• Now we have given the equation y = 0.01 sin (100t - x)

• Now the standard form is

                    y (x,t) = A sin (wt - kx )

• So comparing both the equations, we get:

                    k = 2π/0.3

• Now comparing the wave equations, we get:

                    w = 2π/0.01

• Now v = w/k so:

                    v = 2π/0.01 / 2π/0.3

                    v = 0.3 / 0.01

                    v = 30 m / s

Answer:

             So the wave speed id 30 m/s