Question

Two sinusoidal waves travel in opposite direction along a string, the speed of each wave is 0.5cm/sec. Each wave has the same amlitude 3cm and wavelength 6cm. The equation of the resultant wave is

Answer 1

Explanation:

since y = 2A sinwt coskx

Given that,

v = 0.5 cm/sec

A = 3 cm

λ = 6 cm

since

k = 2π / λ

k = 2π / 6

k = π / 3

v = w / k

w = vk

w = 0.5 × π / 3

w = π / 6

So,

y = 2×3 sin(πt / 6) cos(πx / 3)