Question

A traveling wave is described by equation y(x,t)=0.003(20x+200t) whereby y and x are measured in meters and t in second .what is the period of this wave?

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Answer 1

0.0314secs

Step-by-step explanation:

The standard equation of a wave is expressed as;

y(x,t) = Asin(2πx/λ+2πft)

compare and contrast with the equation y(x,t)=0.003(20x+200t)

2πft = 200t

2πf = 200

f = 200/2π

f = 100/π

Since period T = 1/f

T = π/100

T = 3.14/100

T = 0.0314secs

hence the period of the wave is 0.0314secs