PHY2606
Assignment 5
Unique No: 685131
Due 18th August 2025
, Question 1
Problem Statement:
A fisherman in a boat on a lake counts crests of a wave passing the boat at
1
a time interval of 2
s between successive crests. Each crest takes 1.5 s to
travel the length of the boat (4.5 m). Determine the frequency, angular
frequency, phase velocity, wavelength, and wavenumber of the water wave.
Step 1: Determine frequency
The period is T = 0.5 s.
1
f=
T
1
f= = 2 Hz
0.5
Step 2: Determine angular frequency
ω = 2πf
ω = 2π × 2 = 4π ≈ 12.57 rad/s
Step 3: Determine wavelength and phase velocity
Speed of wave:
4.5
v= = 3 m/s
1.5
1
Assignment 5
Unique No: 685131
Due 18th August 2025
, Question 1
Problem Statement:
A fisherman in a boat on a lake counts crests of a wave passing the boat at
1
a time interval of 2
s between successive crests. Each crest takes 1.5 s to
travel the length of the boat (4.5 m). Determine the frequency, angular
frequency, phase velocity, wavelength, and wavenumber of the water wave.
Step 1: Determine frequency
The period is T = 0.5 s.
1
f=
T
1
f= = 2 Hz
0.5
Step 2: Determine angular frequency
ω = 2πf
ω = 2π × 2 = 4π ≈ 12.57 rad/s
Step 3: Determine wavelength and phase velocity
Speed of wave:
4.5
v= = 3 m/s
1.5
1
