College

5. During a fishing trip offshore, you spend a lot of time enjoying your surroundings. You can hear birds squawking overhead, feel the warmth of the sun on your skin, and experience the boat periodically rising and lowering 3 meters every 20 seconds.

(a) Identify three different waves you experience during your boat trip. Draw each wave and state if the wave is longitudinal or transverse.

(b) Calculate the frequency of the boat's oscillations.

(c) Once each wave crest passes the boat, you record that it takes 3.0 minutes to break on the shore 900 meters away. Calculate the speed of the wave.

(d) Calculate the wavelength (\(\lambda\)) of the wave.

(e) Express the wave in the following form: \(y(x,t) = A\sin(kx \pm \omega t)\), assuming that the ocean wave travels in the positive x direction towards the shore.

Answer :

Final answer:

During the boat trip, you experience sound waves, electromagnetic waves, and water waves. The sound waves are longitudinal, while the electromagnetic waves and water waves are transverse. The frequency of the boat's oscillations is 0.05 Hz. The speed of the wave is 5 meters per second. The wavelength of the wave is 100 meters. The wave can be expressed in the form y(x,t) = Asin(kx ± ωt).

Explanation:

Identifying the waves:

During the boat trip, you experience three different waves:

  1. Sound waves: These waves are longitudinal in nature. They are responsible for the birds squawking overhead, which you can hear.
  2. Electromagnetic waves: These waves are transverse in nature. They are responsible for the warmth of the sun on your skin.
  3. Water waves: These waves are also transverse in nature. They are responsible for the boat periodically rising and lowering.

Calculating the frequency of the boat's oscillations:

The boat rises and lowers 3 meters every 20 seconds. The frequency of oscillation can be calculated using the formula:

Frequency = 1 / Time period

Time period = 20 seconds

Frequency = 1 / 20 = 0.05 Hz

Calculating the speed of the wave:

Once each wave crest passes the boat, it takes 3.0 minutes to break on the shore 900 meters away. The speed of the wave can be calculated using the formula:

Speed = Distance / Time

Distance = 900 meters

Time = 3.0 minutes = 3.0 * 60 seconds = 180 seconds

Speed = 900 / 180 = 5 meters per second

Calculating the wavelength (λ) of the wave:

The wavelength of the wave can be calculated using the formula:

Wavelength = Speed / Frequency

Speed = 5 meters per second

Frequency = 0.05 Hz

Wavelength = 5 / 0.05 = 100 meters

Expressing the wave in the form y(x,t) = Asin(kx ± ωt):

The given wave can be expressed in the form y(x,t) = Asin(kx ± ωt), assuming that the ocean wave travels in the positive x direction towards the shore.

Learn more about waves and oscillations here:

https://brainly.com/question/1404505

#SPJ14

Other Questions