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These are the waves: Wave 1: wavelength = 100 m- water depth = 4000 m ----- wave height = 10 m Wave 2: wavelength = 64 m - - water depth = 16 m -------- wave height = 5 m Wave 3: wavelength = 100 km (100,000 m) ---- water depth = 3600 m ------ wave height = 10 m (Note - look at the long wavelength of this wave. It is a tsunami.) Wave 4: wavelength = 100 m- -wave period = 20 sec ------- wave height = 10 m (Note: shallow/deep water is not applicable for this wave) Wave 5: wave period 10 sec ---- --water depth = 4000 m ------ wave height = 10 m (Note: assume that this one is a deep water wave) Answer the following questions: Wave 1: wavelength = 100 m ----- 1. Is this a shallow or deep water wave? 2.-----------What is the speed of the wave in meters/second? type your answer... 3.----------- What is the equation you used? type your answer... -- water depth = 4000 m ----- wave height = 10 m type your answer...

These are the waves: Wave 1: wavelength = 100 m- water depth = 4000 m ----- wave height = 10 m Wave 2: wavelength = 64 m - - water depth = 16 m -------- wave height = 5 m Wave 3: wavelength = 100 km (100,000 m) ---- water depth = 3600 m ------ wave height = 10 m (Note - look at the long wavelength of this wave. It is a tsunami.) Wave 4: wavelength = 100 m- -wave period = 20 sec ------- wave height = 10 m (Note: shallow/deep water is not applicable for this wave) Wave 5: wave period 10 sec ---- --water depth = 4000 m ------ wave height = 10 m (Note: assume that this one is a deep water wave) Answer the following questions: Wave 1: wavelength = 100 m ----- 1. Is this a shallow or deep water wave? 2.-----------What is the speed of the wave in meters/second? type your answer... 3.----------- What is the equation you used? type your answer... -- water depth = 4000 m ----- wave height = 10 m type your answer...

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**Calculate the speed of these 5 waves.** Calculations: For the following waves, use the information listed below and the equations listed in the Waves web page to determine: a. Whether they are shallow water or deep water waves (if that is relevant). b. Their speed in meters/second. (Note: you may use a calculator, but these are designed so that a calculator is generally unnecessary). Use ONE digit after the decimal point. c. The equation you used.
Transcribed Image Text:**Calculate the speed of these 5 waves.** Calculations: For the following waves, use the information listed below and the equations listed in the Waves web page to determine: a. Whether they are shallow water or deep water waves (if that is relevant). b. Their speed in meters/second. (Note: you may use a calculator, but these are designed so that a calculator is generally unnecessary). Use ONE digit after the decimal point. c. The equation you used.
**Wave Characteristics and Speed Calculations** Below are the characteristics of various waves. Use the given information to understand wave behavior and calculate wave speed. ### These are the waves: - **Wave 1:** - Wavelength = 100 m - Water depth = 4000 m - Wave height = 10 m - **Wave 2:** - Wavelength = 64 m - Water depth = 16 m - Wave height = 5 m - **Wave 3:** - Wavelength = 100 km (100,000 m) - Water depth = 3600 m - Wave height = 10 m - *Note: This is a tsunami* - **Wave 4:** - Wavelength = 100 m - Wave period = 20 sec - Wave height = 10 m - *Note: Shallow/deep water is not applicable* - **Wave 5:** - Wave period = 10 sec - Water depth = 4000 m - Wave height = 10 m - *Note: This is a deep water wave* ### Answer the following questions: **Wave 1:** 1. Is this a shallow or deep water wave? - [Type your answer…] 2. What is the speed of the wave in meters/second? - [Type your answer…] 3. What is the equation you used? - [Type your answer…] **Wave 2:** 4. Is this a shallow or deep water wave? - [Type your answer…] 5. What is the speed of the wave in meters/second? - [Type your answer…] 6. What is the equation you used? - [Type your answer…] **Wave 3:** 7. Is this a shallow or deep water wave? - [Type your answer…] 8. What is the speed of the wave in meters/second? - [Type your answer…] ### Explanation: - **Shallow vs. Deep Water Waves:** - **Deep Water Waves** occur where the water depth is greater than half the wavelength. - **Shallow Water Waves** occur where the water depth is less than 1/20 of the wavelength. - **Calculating Wave Speed:** - Use appropriate formulas to calculate the speed for each case:
Transcribed Image Text:**Wave Characteristics and Speed Calculations** Below are the characteristics of various waves. Use the given information to understand wave behavior and calculate wave speed. ### These are the waves: - **Wave 1:** - Wavelength = 100 m - Water depth = 4000 m - Wave height = 10 m - **Wave 2:** - Wavelength = 64 m - Water depth = 16 m - Wave height = 5 m - **Wave 3:** - Wavelength = 100 km (100,000 m) - Water depth = 3600 m - Wave height = 10 m - *Note: This is a tsunami* - **Wave 4:** - Wavelength = 100 m - Wave period = 20 sec - Wave height = 10 m - *Note: Shallow/deep water is not applicable* - **Wave 5:** - Wave period = 10 sec - Water depth = 4000 m - Wave height = 10 m - *Note: This is a deep water wave* ### Answer the following questions: **Wave 1:** 1. Is this a shallow or deep water wave? - [Type your answer…] 2. What is the speed of the wave in meters/second? - [Type your answer…] 3. What is the equation you used? - [Type your answer…] **Wave 2:** 4. Is this a shallow or deep water wave? - [Type your answer…] 5. What is the speed of the wave in meters/second? - [Type your answer…] 6. What is the equation you used? - [Type your answer…] **Wave 3:** 7. Is this a shallow or deep water wave? - [Type your answer…] 8. What is the speed of the wave in meters/second? - [Type your answer…] ### Explanation: - **Shallow vs. Deep Water Waves:** - **Deep Water Waves** occur where the water depth is greater than half the wavelength. - **Shallow Water Waves** occur where the water depth is less than 1/20 of the wavelength. - **Calculating Wave Speed:** - Use appropriate formulas to calculate the speed for each case:
Expert Solution
Step 1: The relative depth

For the wave 1 comma

Given,

The wavelength, lambda equals 100 m

Water depth, d equals 4000 m

The wave height, L equals 10 m

The relative depth,

d over lambda equals 4000 over 100 d over lambda equals 40

The wave is a deep water wave because,

d over lambda greater than 0.5 40 greater than 0.5


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