PHY26041/102/0/2026 iQ Level: 0793226427
UNISA
PHY2606 Assignment 5 full solutions 2026
Assignment 5
Due Date: 24th August 2026 at 09:00
Assignment Unique number: 209219
Instruction
- This assignment consists of five (3) questions.
ASSIGNMENT 5 2026 PHY26206 UNISA
, ASSIGNMENT 5
Question 1 — Water wave parameters
Given: time between successive crests 𝑇 = 0.5s, crest travels boat length (4.5 m) in 1.5 s.
Frequency:
1 1
𝜈= = = 2 Hz
𝑇 0.5
Angular frequency:
𝜔 = 2𝜋𝜈 = 2𝜋 × 2 = 4𝜋 ≈ 12.57 rad/s
Phase velocity:
4.5
𝑣𝑝 = = 3 m/s
1.5
Wavelength:
𝑣𝑝 3
𝜆= = = 1.5 m
𝜈 2
Wavenumber:
2𝜋 2𝜋 4𝜋
𝑘= = = ≈ 4.19 rad/m
𝜆 1.5 3
Question 2 — Damped SHO
𝑟 𝑟2 𝑠 𝑟 𝑟2 𝑠
𝑥 = 𝐴exp [(− + √ 2 − ) 𝑡] + 𝐵exp [( − 2𝑚 −√ 2 − 𝑚) 𝑡]
2𝑚 4𝑚 𝑚 4𝑚
(a) Physical meaning of the two terms under the square root
𝑟2 𝑠
The expression 4𝑚2 − 𝑚contains:
2
UNISA
PHY2606 Assignment 5 full solutions 2026
Assignment 5
Due Date: 24th August 2026 at 09:00
Assignment Unique number: 209219
Instruction
- This assignment consists of five (3) questions.
ASSIGNMENT 5 2026 PHY26206 UNISA
, ASSIGNMENT 5
Question 1 — Water wave parameters
Given: time between successive crests 𝑇 = 0.5s, crest travels boat length (4.5 m) in 1.5 s.
Frequency:
1 1
𝜈= = = 2 Hz
𝑇 0.5
Angular frequency:
𝜔 = 2𝜋𝜈 = 2𝜋 × 2 = 4𝜋 ≈ 12.57 rad/s
Phase velocity:
4.5
𝑣𝑝 = = 3 m/s
1.5
Wavelength:
𝑣𝑝 3
𝜆= = = 1.5 m
𝜈 2
Wavenumber:
2𝜋 2𝜋 4𝜋
𝑘= = = ≈ 4.19 rad/m
𝜆 1.5 3
Question 2 — Damped SHO
𝑟 𝑟2 𝑠 𝑟 𝑟2 𝑠
𝑥 = 𝐴exp [(− + √ 2 − ) 𝑡] + 𝐵exp [( − 2𝑚 −√ 2 − 𝑚) 𝑡]
2𝑚 4𝑚 𝑚 4𝑚
(a) Physical meaning of the two terms under the square root
𝑟2 𝑠
The expression 4𝑚2 − 𝑚contains:
2
