# A transverse wave propagates along the positive direction of the axis x. Calculate??

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A transverse wave propagates along the positive direction of the

axis x being the maximum value of y = 6 cm, λ = 8π cm, v = 48 cm / s and the

displacement at x = 0, t = 0 is 2 cm. Calculate:

a) the wave number

b) the angular frequency

c) The phase count

d) write the expression of this wave and that of another wave with the same

frequency, wavelength and amplitude but such that when added

to the previous one of a similar amplitude equal to 9.6cm

A transverse wave propagates along the positive direction of the

axis x being the maximum value of y = 6 cm, λ = 8π cm, v = 48 cm / s and the

displacement at x = 0, t = 0 is 2 cm. Calculate:

a) the wave number

b) the angular frequency

c) The phase count

d) write the expression of this wave and that of another wave with the same

frequency, wavelength and amplitude but such that when added

to the previous one of a similar amplitude equal to 9.6cm

##### 1 Answer

OK, quite involved, but we’ll have a go, and have a stab at (d)

#### Explanation:

Assuming the y = 6 cm refers to the amplitude of the wave, and that the wave is sinusoïdal I get:

(a) the wavenumber,

(b) the angular frequency,

So

(c) the phase constant, or phase angle,

(d)

The final part is ambiguous to me, is the total amplitude when summing the waves equal to 9.6cm? If so it will be of the form

Apologies if I have sent you down the wrong track here - I’ll request a check before I post this answer.