Practice Quizzes II 1. A machine tugs sideways on an elastic rope with a frequen

Question

Practice Quizzes II 1. A machine tugs sideways on an elastic rope with a frequency of 0 5 Hz. A graph of the transverse displacements of this rope wave at t 100 s as a function of position is shown. a) What is the velocity of waves on this rope? «?! -01 05 b) If the frequency of the machine tugging on the rope is doubled to fe 10 Hz, what is the new wavelength of waves on this rope? What is the new velocity of waves on this rope? 2 You are in a (very) small boat anchored in the bay Water waves are moving by you so that a six seconds, and you notice that these crests are spaced 20 m apart. What is the velocity of these water waves? and pressuro), and the velocity of sound in water is 1,500 m/'s at STP What are the wavelengt air and in water? a. The velocity of sound in air is 340 m/s at STP (standard temperat re speed of 2 nv's if the period of this wave is 4 s, what value nvs ifthe 4. A wave is moving to the loft with a must the wavelength be?

Explanation / Answer

1)Given,

f = 5 Hz ; t = 10 s ; lambda = 0.4 m (using graph)

a)We know that

v = f lambda

v = 5 x 0.4 = 2 m/s

Hence, v = 2 m/s

b)we know that

v = f lambda => lambda = v/f

lambda = 2/10 = 0.2 m

Hence, lambda = 0.2 m

2)Given,

lambda = 20 m ; f = 1/6 = 0.167 Hz

v = 0.167 x 20 = 3.34 m/s

Hence, v = 3.34 m/s

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