Absolutely! Let's solve each problem step by step using the wave equation:
>
Velocity = Wavelength × Frequency
> or rearranged:
>
Wavelength = Velocity / Frequency
>
Frequency = Velocity / Wavelength
Units:
- Velocity → m/s
- Wavelength → m
- Frequency → hertz (Hz)
---
Problem 1
Given:
Wavelength = 0.5 m
Frequency = 150 Hz
Find: Velocity
✔ Formula: Velocity = Wavelength × Frequency
→ Velocity = 0.5 m × 150 Hz =
75 m/s
---
Problem 2
Given:
Velocity = 600 m/s
Wavelength = 2.0 m
Find: Frequency
✔ Formula: Frequency = Velocity / Wavelength
→ Frequency = 600 m/s ÷ 2.0 m =
300 Hz
---
Problem 3
Given:
Velocity = 320 m/s
Wavelength = 80 m
Find: Frequency
✔ Formula: Frequency = Velocity / Wavelength
→ Frequency = 320 m/s ÷ 80 m =
4 Hz
---
Problem 4
Given:
Wavelength = 1.2 m
Frequency = 210 Hz
Find: Velocity
✔ Formula: Velocity = Wavelength × Frequency
→ Velocity = 1.2 m × 210 Hz =
252 m/s
---
Problem 5
Given:
Wavelength = 3.0 m
Frequency = 120 Hz
Find: Velocity
✔ Formula: Velocity = Wavelength × Frequency
→ Velocity = 3.0 m × 120 Hz =
360 m/s
---
Problem 6
Given:
Velocity = 12 m/s
Frequency = 600 Hz
Find: Wavelength
✔ Formula: Wavelength = Velocity / Frequency
→ Wavelength = 12 m/s ÷ 600 Hz =
0.02 m
---
Problem 7
Given:
Velocity = 190 m/s
Wavelength = 1.1875 m
Find: Frequency
✔ Formula: Frequency = Velocity / Wavelength
→ Frequency = 190 m/s ÷ 1.1875 m =
160 Hz
*(Check: 1.1875 × 160 = 190 — correct!)*
---
Problem 8
Given:
Velocity = 110 m/s
Frequency = 300 Hz
Find: Wavelength
✔ Formula: Wavelength = Velocity / Frequency
→ Wavelength = 110 m/s ÷ 300 Hz ≈
0.3667 m (or
0.37 m if rounded to two decimals)
---
Problem 9
Given:
Wavelength = 4.2 m
Frequency = 70 Hz
Find: Velocity
✔ Formula: Velocity = Wavelength × Frequency
→ Velocity = 4.2 m × 70 Hz =
294 m/s
---
Problem 10
Given:
Velocity = 65 m/s
Wavelength = 6.5 m
Find: Frequency
✔ Formula: Frequency = Velocity / Wavelength
→ Frequency = 65 m/s ÷ 6.5 m =
10 Hz
---
##
✔ Final Answers:
1.
75 m/s
2.
300 Hz
3.
4 Hz
4.
252 m/s
5.
360 m/s
6.
0.02 m
7.
160 Hz
8.
0.3667 m (or
0.37 m)
9.
294 m/s
10.
10 Hz
---
Let me know if you’d like to see the work shown for any specific problem on paper-style format!
Parent Tip: Review the logic above to help your child master the concept of calculating wave speed worksheet.
