Part 3: Real-Life Examples Example 1: Ocean Waves Ocean waves are a common real-life example of waves. Let's assume the following characteristics for an ocean wave: - The distance between two consecutive crests is 10 meters. - The amplitude of the wave is 2 meters. Questions: 1. Whe wave passes a point every 5 seconds 2. What is the wamplitude of the ocean wave? 3. What is the frequency of the ocean wave?

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UpStudy AI · Accepted Answer

Certainly! Let's address each of the questions based on the provided information about ocean waves.

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### **Example 1: Ocean Waves**

**Given Characteristics:**
- **Wavelength (λ):** 10 meters (distance between two consecutive crests)
- **Amplitude (A):** 2 meters
- **Wave Passing Time:** A wave passes a point every 5 seconds

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### **Questions and Answers**

1. **A wave passes a point every 5 seconds. What is the period of the wave?**

- **Period (T):** The period is the time it takes for one complete wave to pass a given point.
   - **Answer:** The period $$ T $$ is **5 seconds**.

2. **What is the amplitude of the ocean wave?**

- **Amplitude (A):** The amplitude is the maximum displacement of the wave from its rest position.
   - **Answer:** The amplitude of the ocean wave is **2 meters**.

3. **What is the frequency of the ocean wave?**

- **Frequency (f):** Frequency is the number of waves passing a point per unit time. It is the reciprocal of the period.
   
     $$
     f = \frac{1}{T}
     $$
   
   - **Calculation:**
     $$
     f = \frac{1}{5 \text{ seconds}} = 0.2 \text{ Hz}
     $$
   
   - **Answer:** The frequency of the ocean wave is **0.2 Hertz (Hz)**.

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### **Additional Insights (Optional)**

While not asked, it's often useful to know the **wave speed (v)**, which can be calculated using the relationship:

$$
v = \lambda \times f
$$

- **Calculation:**
  $$
  v = 10 \text{ meters} \times 0.2 \text{ Hz} = 2 \text{ meters/second}
  $$

- **Result:** The wave travels at a speed of **2 meters per second**.

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Feel free to ask if you have any more questions or need further clarification!
- **Period:** 5 seconds - **Amplitude:** 2 meters - **Frequency:** 0.2 Hz

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