A transverse harmonic wave on a string is described by y (x,t) = 3.0 sin (36t + 0.018x + π/4) where x and y are in cm and t is in s. The positive direction of x is from left to right

contexto.120

3 years ago

a) the wave is travelling from right to left

b) the speed of the wave is 20 m/s

c) frequency of the wave is 5.7 Hz

d) the least distance between two successive crests in the wave is 2.5 cm

Answer:

The correct options are

a) the wave is traveling from right to left

b) the speed of the wave is 20 m/s

c) frequency of the wave is 5.7 Hz

Explanation:

(A) The plus sign implies that the wave moves from +x direction to -x direction.

(B)Now, we have

$v = ω/k$

$= 36/0.018 c m / s$

$= 2000 c m / s = 20 m / s$

$= ω / 2π$

$= 36$

$= 5.7 H z$