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
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