Question

Assignment: Waves Math Exploration

Answer 1

Remember the formula for Wave Equation: Speed =  Wavelength x Frequency.

1. What is the wave speed of a wave that has a frequency of 100 Hz and a wavelength of 0.30 m?
S = 0.30 m x 100 Hz 
S = 30 m/s

2. What is the wave speed of a wave that has a frequency of 50 Hz and a wavelength of 0.10 m?
S = 0.10 m x 50 Hz
S = 5 m/s

3. What is the frequency of a wave that has a wave speed of 20 m/s and a wavelength of 0.50 m?
F = 20 m/s / 0.50 m
F = 40 Hz

4. What is the frequency of a wave that has a wave speed of 80 m/s and a wavelength of 0.20 m?
F = 80 m/s / 0.20 m
F = 400 Hz

5. What is the frequency of a wave that has a wave speed of 120 m/s and a wavelength of 0.40 m?
F = 120 m/s / 0.40 m
F = 300 Hz

6. What is the wavelength of a sound wave that has a speed of 340 m/s and a frequency of 440 Hz?
W = 340 m/s / 440 Hz
W = 0.77 m

7. What is the wavelength of a sound wave that has a speed of 340 m/s and a frequency of 880 Hz?
W = 340 m/s / 880 Hz
W = 0.39 m

8. What is the wavelength of a sound wave that has a speed of 250 m/s and a frequency of 400 Hz?
W =  250 m/s / 400 Hz
W = 0.63 m

9. What is the wave speed of a wave that has a frequency of 50 Hz and a wavelength of 2.0 m?
S = 2.0 m x 50 Hz
S = 100 m/s

10. What is the wave speed of a wave that has a frequency of 100 Hz and a wavelength of 0.50 m?
S = 0.50 m x 100 Hz
S = 50 m/s

Hope this helps. :)