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A harmonic wave is traveling along a rope. It is observed that the oscillator that generates the wave completes 37.6 vibrations in 27.9 s. Also, a given maximum travels 450 cm along the rope in 11.3 s. What is the wavelength? Answer in units of cm.

Respuesta :

Answer:

[tex]\lambda = 25.79\ cm[/tex]

Explanation:

given,

Wave vibrates = 37.6

time = 27.9 s

maximum distance travel = 450 cm

time = 11.3 s

wavelength = ?

frequency of wave

[tex]f=\dfrac{37.6}{27.9}[/tex]

f = 1.35 Hz

Speed of wave

[tex]v = \dfrac{450}{11.3}[/tex]

v = 39.82 cm/s

wavelength of wave

v = fλ

[tex]\lambda =\dfrac{v}{f}[/tex]

[tex]\lambda =\dfrac{34.82}{1.35}[/tex]

[tex]\lambda = 25.79\ cm[/tex]

Hence, wavelength of the wave is equal to 25.79 cm.

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