A wave traveling in the positive x direction with a frequency of 27.0 Hz is shown in the figure below. A = 8.3 cm and B = 10 cm. Find the following values for this wave.

Question

(a) period:

(b) speed:

Answer 1

First, let's determine what values are given by the problem. In the graph, A represents the distance between the peak and the valley of a wave. In other words, half the wavelength or λ/2. B represents twice the amplitude, but that isn't relevant to what the problem is asking.

So, the necessary givens are:

1. frequency f = 27.0 Hz
2. wavelength λ = 2A = 16.6 cm

a) To find the period T, simply take the reciprocal of the frequency , T = 1/f.

T = 1 / f = 1 / 27.0Hz = 0.037s

b) We can use the equation v = λ*f to find the velocity of the wave.

v = λ * f = (16.6 cm)*(27.0 s^-1) = 448.2 cm/s

I hope this helps!