A woman is standing in the ocean, and she notices that after
awave crest passes by, five more crests pass in a time of 54.0
s.The distance between two successive crests is 39.257883151578
m.What is the wave's (a) period, (b) frequency, (c) wavelength,
and(d) speed?

Respuesta :

Answer:

Period, T = 10.86 seconds  

Frequency, f = 0.092 Hz  

Wavelength, [tex]\lambda=39.257883151578\ m[/tex]          

Speed, v = 3.61 m/s                                                        

Explanation:

It is given that,

A woman notices that a wave crest passes by, five more crests pass in a time of 54.0 .

The distance between two successive crests is, the wavelength of wave, [tex]\lambda=39.257883151578\ m[/tex]

(b)Frequency of a wave is given by number of oscillations per second such that,

[tex]f=\dfrac{n}{t}[/tex]

[tex]f=\dfrac{5}{54}[/tex]

f = 0.092 Hz

(a) Let T is the period of the wave. It is inverse of frequency of a wave such that,

[tex]T=\dfrac{1}{f}[/tex]

[tex]T=\dfrac{1}{0.092}[/tex]

T = 10.86 seconds

(c) The distance between two successive crest or trough is called wavelength of a wave, [tex]\lambda=39.257883151578\ m[/tex].

(d) The speed of a wave is given by :

[tex]v=f\lambda[/tex]

[tex]v=0.092\times 39.257883151578[/tex]

v = 3.61 m/s

Hence, this is the required solution.