A wave having a wavelength of 4.0 meters and an amplitude of 25 meters travels a distance of 24 meters in 8.0 seconds. What is the frequency and the period of the wave?

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Answer 1 · 2017-03-03T03:48:53

# T (Period) = 1.33 s #
# f (Frequency) = 0.75 Hz # (cycles/second)

Given:

#λ = 4.0 m#

#Amplitude = 25 m#

# d = 24 m #

# s = 8.0 s #

Required:

#f = ?#
#T = ?#

Analysis:

#v = λf#

# f = N/t #

# T = 1/f #

#v = d/t#

Solve:

#v = d/t = 24 / 8.0 -> v = 3.0 m/s #

# v = λf -> f = v/λ = 3.0/4.0 -> f = 0.75 Hz#

# T = 1/f = 1 / 0.75 -> T = 1.33 s#