First slide

Equation of wave

Question

A sinusoidal wave has an amplitude of 3cm. Time period is 1s. The wavelength is 1cm. And at x = 0, t=0 the particle is at its mean position & moving upwards. What is the equation of the wave if it is travelling along the positive x-axis?

Easy

A

y = 3sin(2πx – 2πt)
B

y = 3sin(2πt – 2πx)
C

x = 3sin(2πt – 2πy)
D

y = 3cos(π + 2πt – 2πx)

Solution

The wave number k = 2π/1 = 2π.
The angular frequency w = 2π/1 = 2π.
The particle at x=0, t=0 is moving up from its mean position, & the wave travels towards the positive x-axis so the equation will be:
y = 3sin(2πt – 2πx).

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