A sinusoidal transverse wave sapling leaning A sinusoidal transverse wave travel

Question

A sinusoidal transverse wave

sapling leaning A sinusoidal transverse wave travels along a long stretched string. The amplitude of this wave is 0.0919 m, its frequency is 2.69 Hz, and its wavelength is 1.11 m. (a) What is the shortest transverse distance between a maximum and a minimum of the wave? Number Im b) How much time is required for 55.1 cycles of the wave to pass a stationary observer? Number (c) Viewing the whole wave at any instant, how many cycles are there in a 39.5-m length of string? Number cycles

Explanation / Answer

given = 1.11 m , frequency f = 2.69 Hz and amplitude = 0.0919 m

a) in transverse distance between minimum and maximum is = 1/4 wavelength

= 1.11m

/4 = 1.11 / 4 = 0.2775 m

b)

time taken per cycle is t = 1/f

= 1 / 2.69

t = 0.37 sec

the time taken for 55.1 cycles is = 55.1 X 0.37

t = 20.38 s

c)

to calculate the number of cycles n = 39.5 / 1.11

n = 35.58 cycles

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