Answer :
To determine how long it will take the wave to travel 3000 meters in the w-direction, follow these steps:
1. Understand the Wave Properties:
- The wave has a frequency of 125 Hz.
2. Assume a Common Wave Speed:
- Typically, transverse waves in air travel at speeds similar to the speed of sound, which is approximately 340 meters per second. This speed is a reasonable assumption since it frequently applies to such scenarios unless another speed is specified.
3. Calculate the Time Taken:
- Use the formula for time: [tex]\( \text{Time} = \frac{\text{Distance}}{\text{Speed}} \)[/tex].
- Substitute the given values into the formula:
- Distance = 3000 meters
- Speed = 340 meters/second
[tex]\( \text{Time} = \frac{3000 \, \text{meters}}{340 \, \text{meters/second}} \)[/tex]
4. Compute the Result:
- Performing the calculation will give you approximately 8.82 seconds.
With these calculations, you can determine that the wave will take about 8.82 seconds to travel 3000 meters in the w-direction. The choices provided in the question do not contain this result, which might indicate that additional details or different conditions should have been applied.
1. Understand the Wave Properties:
- The wave has a frequency of 125 Hz.
2. Assume a Common Wave Speed:
- Typically, transverse waves in air travel at speeds similar to the speed of sound, which is approximately 340 meters per second. This speed is a reasonable assumption since it frequently applies to such scenarios unless another speed is specified.
3. Calculate the Time Taken:
- Use the formula for time: [tex]\( \text{Time} = \frac{\text{Distance}}{\text{Speed}} \)[/tex].
- Substitute the given values into the formula:
- Distance = 3000 meters
- Speed = 340 meters/second
[tex]\( \text{Time} = \frac{3000 \, \text{meters}}{340 \, \text{meters/second}} \)[/tex]
4. Compute the Result:
- Performing the calculation will give you approximately 8.82 seconds.
With these calculations, you can determine that the wave will take about 8.82 seconds to travel 3000 meters in the w-direction. The choices provided in the question do not contain this result, which might indicate that additional details or different conditions should have been applied.
