The wavelength of the wave is approximately 0.2303 meters. This can be calculated by dividing the speed of the wave (0.3 m/s) by the frequency of the wave (1.3030 Hz).
To find the wavelength of the wave, we can use the formula:
Wavelength = Speed / Frequency
Here are the steps to calculate the wavelength:
1. First, we need to find the frequency of the wave. The frequency is the number of vibrations completed by the oscillator in a given time.
- Frequency = Number of vibrations / Time
- Frequency = 43.0 vibrations / 33.0 s
2. Calculate the frequency by dividing the number of vibrations by the time.
- Frequency = 1.3030 Hz
3. Next, we need to find the speed of the wave. The speed of a wave is the distance traveled by a wave crest in a given time.
- Speed = Distance / Time
- Speed = 420 cm / 14.0 s
4. Convert the speed from cm/s to m/s by dividing by 100.
- Speed = 4.2 m / 14.0 s
5. Calculate the speed by dividing the distance by the time.
- Speed = 0.3 m/s
6. Now, we can calculate the wavelength using the formula:
- Wavelength = Speed / Frequency
- Wavelength = 0.3 m/s / 1.3030 Hz
7. Calculate the wavelength by dividing the speed by the frequency.
- Wavelength ≈ 0.2303 m