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?

1 Answer
Mar 3, 2017

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

Explanation:

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