# How Do You Calculate Wave Speed and Frequency in Water and Sound Waves?

• ahrog
In summary, the speed of the water waves in a lake is 2.4m/s and the period is 1.2s. The waves are moving at a speed of 4.2m/s. The frequency of the tuning fork is 128Hz and the period is 0.00781s.
ahrog

## Homework Statement

1. Water waves in a lake travel 4.4m in 1.8s. The period of oscillation is 1.2 s.
a) What is the speed of the water waves?
b) What is the period of the water waves?
2. A group of swimmers is resting in the sun on an off-shore raft. They estimate that 2.0m separates a trough and an adjacent crest of the surface waves on the lake. They count 14 crests that pass by the raft in 20s. How fast are the waves moving?
3. a) A tuning fork vibrates 192 times in 1.50 s. What is its frequency?
b) What is it's period?

## Homework Equations

v=wavelength x frequency
frequency=1/ T

## The Attempt at a Solution

1. a) v=d/t
4.4m/1.8s
=2.4m/s

b) f=1/T
=1/1.2s
=0.83 Hz

2.) v= wf
=(6m)(14 crests/20s)
=4.2m/s

3. a) f=1/T =1/(1.5s/192) = 128Hz
b) T=192vibrations/1.50 seconds
=0.00781 s

I just need someone to check these over, as they are worth a portion of my grade, and I don't want to make stupid mistakes.

Question 1b

Question 2
Fourteen crests corresponds to how many wavelengths?

Your calculations for 1a and 1b are correct. For 2, you should use the formula v = λf, where λ is the wavelength. You can find the wavelength by dividing the distance between the trough and crest (2.0m) by the number of crests (14). So the correct calculation would be:

v = (2.0m)/(14 crests/20s)
= 2.9m/s

For 3a and 3b, your calculations are correct. Just make sure to include the units in your final answers (Hz for frequency and seconds for period).

Overall, your solutions are correct and well-explained. Good job!

## 1. What are water waves and how are they formed?

Water waves are disturbances that travel through a body of water, caused by the transfer of energy from wind, earthquakes, or even the pull of the moon's gravity. They are formed when the surface of the water is disturbed, creating a ripple effect that spreads outward.

## 2. How does a tuning fork produce sound waves?

A tuning fork is a metal instrument with two prongs that vibrate at a specific frequency when struck. When the prongs vibrate, they create compressions and rarefactions in the surrounding air, which travel as sound waves to our ears and are interpreted as sound.

## 3. What is the relationship between the wavelength and frequency of water waves?

The wavelength of a water wave is directly proportional to its frequency. This means that as the frequency increases, so does the wavelength. This relationship can be described by the equation: wavelength = speed/frequency.

## 4. Can sound waves travel through water?

Yes, sound waves can travel through water. In fact, sound travels about 4.3 times faster in water than in air. This is because water is denser and can transmit the vibrations of sound more effectively.

## 5. How are the properties of water waves and sound waves similar?

Both water waves and sound waves are types of mechanical waves, meaning they require a medium to travel through. They both also exhibit properties such as wavelength, frequency, and amplitude. Additionally, both types of waves can be reflected, refracted, and diffracted.

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