A traveling wave on a rope has a frequency of 2.5 Hz. If the speed of the wave is 1.5 m/s, what are its period and wavelenght
- 0.4 s, 0.6 m
- 1.5 s, 1.5 m
- 2.0 s, 2.5 m
- 3.0 s, 4 m
- 4.5 s, 7 m
Explanation
To find the period and wavelength of a wave, we can use the formulas:
Period (T) = 1 / Frequency (f)
Wavelength (λ) = Speed (v) / Frequency (f)
Given:
Frequency (f) = 2.5 Hz
Speed (v) = 1.5 m/s
Step 1: Calculate the period (T):
Using the formula, T = 1 / f, we can substitute the given frequency to find the period:
T = 1 / 2.5 Hz
T = 0.4 s
Therefore, the period of the wave is 0.4 seconds.
Step 2: Calculate the wavelength (λ):
Using the formula, λ = v / f, we can substitute the given speed and frequency to find the wavelength:
λ = 1.5 m/s / 2.5 Hz
λ = 0.6 m
Therefore, the wavelength of the wave is 0.6 meters.
In summary, the wave has a period of 0.4 seconds and a wavelength of 0.6 meters.
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