Waves - calculations

Waves are caused by vibrations.

True

transverse wave

A wave that moves the medium in a direction perpendicular to the direction in which the wave travels

compression wave

Wave that the particles move backwards and forwards in the same direction as the energy transfer
- sound wave

wave frequency (Hz)

cycles per second (f=cycles/sec)

wave speed (m/sec)

v=f�? (frequency x wavelength)

waves transfer energy without transferring matter

true

The frequency of a wave is 40 Hz and speed it 100 m/s. What is the wavelength of this wave

2.5 meters per cycle

If you double the frequency of a wave, what is the effect on its wavelength (assuming speed does not change)?

The wavelength is cut in 1/2.

An electric toothbrush completes 90 cycles every second. What are its frequency?

90 Hz

A sound wave travels through air at 343 m/s with a frequency of 100 Hz. What are its wavelength?

3.43 meters

A string carries a wave with a velocity of 285 m/s. If the frequency of the wave is 4 Hz, what is its wavelength?

71.25 meters

A skipper on a boat notices wave crests passing his anchor
chain. He estimates the distance between
wave crests to be 15 meters. What is the wavelength of each wave?

15 m

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

4 m/s

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 0.1 m. What is the
speed of the wave?

0.4 m/s

What is the wavelength of an earthquake wave if it has a speed of 5000 m/s and a frequency of 10 Hz?

500 meters

If a train of freight cars, each 10 meters long, rolls by you at the rate of three cars each second, what is the speed of the train?

30 m/s

A deep-water wave has a wavelength of 10.0 meters. If it
travels at 3.9 m/s, what is the wave's frequency?

0.39 Hz

On a calm day ocean waves are about 0.1 meter high. However, during a hurricane, ocean waves might be as
much as 14 meters high. If both waves have the same frequency, during which set of conditions do the waves
have more energy?

During a hurricane, waves have more energy as indicated by their higher amplitude.

The loudness of sound is related to its amplitude. Which sound wave would have the least energy: a low volume
wave at 1,000 Hz or a high-volume (loud) wave at 1,000 Hz?

The low-volume sound has the least amount of energy.

The frequency of microwaves is less than that of visible light waves. Which type of wave is likely to have greater energy?

visible light waves

Sound cannot travel through a vacuum. Therefore, sound is a _______ wave.

mechanical

The pitch of the buzzer increases as it gets closer to your ears and decreases as it moves away. This phenomena is explained by the ______.

Doppler Effect

At the stands of a race track you notice smoke from the starter's gun before you hear it fire. Why?

Light travels about a million times faster than sound in air, so you see a distant event a million times sooner than you hear it.

A railroad locomotive is at rest with its whistle shrieking, and then it starts moving toward you.
(a) Does the frequency that you hear increase, decrease, or stay the same? (b) How about the wavelength reaching your ear?
(c) How about the speed of sound

(a) The frequency increases.
(b) The wavelength decreases.
(c) The speed is unchanged
(because the air remains motionless relative to you).

Which has the shorter wavelengths, ultraviolet or infrared? Which has the higher frequencies?

Ultraviolet has shorter waves than infrared. Correspondingly, ultraviolet also has the higher frequencies.