WavesChapter Problems

Wave speed, frequency and wavelength

Class work

  1. A fisherman noticed that a float makes 30 oscillations in 15 seconds. The distance between two consecutive crests is 2 m. What is the period and frequency of the wave? What is the wave speed?
  2. What is the wave speed if the period is 4.0 seconds and the wavelength is 1.8 m?
  3. What is the period of a wave traveling with a speed of 1.6 m/s and the wavelength is 0.50 m?
  4. What is the wavelength of a wave traveling with a speed of 3.0 m/s and the period of 6.0 s?
  5. A fisherman noticed that a wave strikes the boat side every 5 seconds. The distance between two consecutive crests is 1.5 m. What is the period and frequency of the wave? What is the wave speed?
  6. What is the wave speed if the period is 7.0 seconds and the wavelength is 2.1 m?
  7. What is the period of a wave traveling with a speed of 20 m/s and the wavelength is 4.0 m?
  8. What is the wavelength of a wave traveling with a speed of 6.0 m/s and the period of 3.0 s?
  9. 1. What is the speed of a wave with a frequency of 357 Hz and a wavelength of 0.37 m?
  10. 2. What is the frequency of a wave with a period of 6 s?
  11. 3. What is the velocity of a wave with a period of 3 s and a wavelength of 4.6 m?
  12. 4. What is the speed of a sound wave traveling through air at 16oC?
  13. 5. What is the wavelength of a wave with a velocity of 290 m/s and a frequency of 356 Hz?
  14. 6. A ship receives the echo of its fog horn from an iceberg 5 s after it is sounded. If the air temperature is 5oC, How far away is the iceberg?

Wave Graphs

Class work

  1. A “snapshot” of a wave is given above. The frequency of oscillations is 240 Hz.
  2. What is the amplitude of the wave?
  3. What is the wavelength of the wave?
  4. What is the wave speed?
  5. What is the wave period?
  1. A “snapshot” of a wave is given above. The frequency of oscillations is 120 Hz.
  2. What is the amplitude of the wave?
  3. What is the wavelength of the wave?
  4. What is the wave speed?
  5. What is the wave period?

Homework

  1. A “snapshot” of a wave is given above. The frequency of oscillations is 160 Hz.
  2. What is the amplitude of the wave?
  3. What is the wavelength of the wave?
  4. What is the wave speed?
  5. What is the wave period?
  1. A “snapshot” of a wave is given above. The frequency of oscillations is 100 Hz.
  2. What is the amplitude of the wave?
  3. What is the wavelength of the wave?
  4. What is the wave speed?
  5. What is the wave period?

1. 132 m/s; 2.0.167 Hz; 3.1.53 m/s; 4.341.1 m/s; 5.0.81 m; 6. 836 m

Waves

Chapter Problems

  1. 4 m/s, 2 Hz, .5 s
  2. .45 m/s
  3. .3125 s
  4. 18 m
  5. .3 m/s, .2 Hz, 5 s
  6. .3 m/s
  7. .133 s
  8. 18 m
  9. 5 m/s
  10. 98000 N
  11. 4 m/s, 5 Hz
  12. 6.13 m/s
  13. 230400 N
  14. 4.08 m/s, 10.2 Hz
  15. 330 Hz, 660 Hz, 990 Hz, 1320 Hz
  16. 60 Hz, 120 Hz, 180 Hz, 240 Hz
  17. 2 m, 30 Hz, 60 Hz, 90 Hz
  18. 450 Hz, 900 Hz, 1350 Hz, 1800 Hz
  19. 50 Hz, 100 Hz, 150 Hz, 200 Hz
  20. .2 m, 200 Hz, 400 Hz, 600 Hz
  21. a. 10 cm

b. 65 cm

c. 156 m/s

d. .0041 s

  1. a. 3 m

b. 7 m

c. 840 m/s

d..00833 s

  1. a. 1 m

b. 1.5 m

c. 240 m/s

d. .00625 s

  1. a. 4 m

b. 3 m

c. 300 m/s

d. .01 s

General Problems

  1. a. 1 m

b. 9.89 m/s

c. 9.89 Hz

d. more loops

  1. a. 1 m

b. 19.79 m/s

c. 19.79 m/s

d. more loops

  1. a. 2.4 m

b. 1.2 m

c. destructive

d. constructive

e. partially destructive

  1. a. .8 m

b. .4 m

c. destructive

d. constructive

e. destructive