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?

Question

9895 views around the world

You can reuse this answer
Creative Commons License

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#