https://r2.erweima.ai/mathbot/image/1724816631205di1j23z5.jpg

de la imagen responde la siguiente pregunta ¿Cuál es el valor de la frecuencia de oscilación? 

To find the frequency of oscillation from the graph provided, we need to determine the period \( T \) of the wave. The period is the time it takes for one complete cycle of the oscillation.

### Step-by-Step Solution

1. **Identify the Period \( T \):** 
   - From the graph, look for the time it takes for the wave to complete one full cycle. A full cycle is from one peak to the next peak (or from one trough to the next trough).

   Observing the graph:
   - Peaks appear approximately at \( t = 0 \), \( t = 2 \), \( t = 4 \), \( t = 6 \), and \( t = 8 \) seconds.

   - The period \( T \) can be calculated as the difference in time between two successive peaks. 

   - From the graph, \( T = 2 \) seconds.

2. **Calculate the Frequency \( f \):**
   - The frequency is the reciprocal of the period:
   \[
   f = \frac{1}{T}
   \]

   - Substituting \( T = 2 \) seconds:

   \[
   f = \frac{1}{2} = 0.5 \text{ Hz}
   \]

### Conclusion
The frequency of oscillation is **0.5 Hz**.

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

1. How would the frequency change if the period were halved?
2. What is the amplitude of the oscillation shown in the graph?
3. How does frequency relate to angular frequency?
4. What would the graph look like if the frequency were doubled?
5. How can we calculate the wavelength if the speed of the wave is known?

**Tip:** The frequency of an oscillation is inversely related to its period. The shorter the period, the higher the frequency.

Learn how to calculate the frequency of oscillation from a waveform graph. Understand the relationship between period and frequency with a detailed step-by-step solution. Suitable for Grades 9-12 students studying periodic motion and waveforms.

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