Wave Speed - Weebly



Wave Speed- Practice

V= λ x f

V= speed or velocity

λ = wavelength (measured in meters)

f = frequency (measured in hertz)

1. Earthquakes generate shock waves that travel through Earth’s interior to other parts of the world. The fastest of these waves are longitudinal waves, like sound waves, and are called primary waves, or just p-waves. A p-wave has a very low frequency, typically around 0.050 Hz. If the speed of a p-wave with this frequency is 8.0 km/s, what is its wavelength?

2. A dolphin can typically hear sounds with frequencies up to 150 kHz. What is the speed of sound in water if a wave with this frequency has a wavelength of 1.0 cm?

3. A ship anchored at sea is rocked by waves that have crests 14 m apart. The waves travel at 7.0 m/s. How often do the wave crests reach the ship?

Waves Worksheet

1. One end of a rope is vibrated to produce a wave with a wavelength of 0.25 meters. The frequency of the wave is 3.0 hertz. What is the speed of the wave?

2. A wave on a rope has a wavelength of 2.0 m and a frequency of 2.0 hertz. What is the speed of the wave?

3. A motorboat is tied to a dock with its motor running. The spinning propeller makes a surface wave in the water with a frequency of 4 Hz and a wavelength of 0.1m. What is the speed of the wave?

4. What is the speed of a wave in a spring if it has a wavelength of 10cm and a period of 2.0s? (use the equation speed=wavelength/period)

5. What is the wavelength of an earthquake wave if it has a speed of 5km.s and a frequency of 10 Hz?

6. A wave on a rope has a frequency of 3.3 Hz and a wavelength of 1.2m. What is the speed of the wave?

7. A deep-water wave has a wavelength of 10.0m. If it travels at 3.9m/s, what is the wave’s period? (use equation period = wavelength/speed)

8. A ship anchored at sea is rocked by waves that have crests 8.5 m apart. The waves travel at 3.3 m/s. How often do the wave crests reach the ship?

9. The lowest pitch that the average human can hear has a frequency of 20.0 Hz. If sound with this frequency travels through air with a speed of 331 m/s, what is its wavelength?

10. A dog whistle is designed to produce a sound with a frequency beyond that which can be heard by humans (between 20 000 Hz and 27 000 Hz). If a particular whistle produces a sound with a frequency of 2.5 × 104 Hz, what is the sound’s wavelength? Assume the speed of sound in air is 331 m/s.

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