Question 9 of 13 Map a Sapling Learning macmillan learning A sinusoidal transver

Question

Question 9 of 13 Map a Sapling Learning macmillan learning A sinusoidal transverse wave travels along a long stretched string. The amplitude of this wave is 0.0919 m, its frequency is 3.47 Hz, and its wavelength is 1.55 m. (a) What is the shortest transverse distance between a maximum and a minimum of the wave? Number (b) How much time is required for 57.1 cycles of the wave to pass a stationary observer? Number Viewing the whole wave at any instant, how many cycles are there in a 38.1-m length of string? Number cycles

Explanation / Answer

Amplitude, A=0.0919 m

frequency, f=3.47 Hz

wavelength, lambda=1.55 m

a)

shortest transverse distance, d=lambda/2

d=1.55/2

d=0.775 m

b)

time, t=no cycle/f

=57.1/3.47

=16.45 sec

c)

no of cycles, n=L/lambda

n=38.1/1.55

n=24.6 cycles

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