Final answer:
To find the wavelength of a wave in a rope, use the formula λ = v / f and plug in the values of wave speed (150 m/s) and frequency (15 Hz), yielding a wavelength of 10 meters.
Step-by-step explanation:
The question involves calculating the wavelength of a wave in a rope when given the speed (often referred to as velocity) of the wave and its frequency. The formula to use is Wave Speed (v) = Wavelength (λ) × Frequency (f). In this case, we are given a rope snapped with a velocity (wave speed) of 150 m/s and a frequency of 15 Hz. To find the wavelength, we rearrange the formula to λ = v / f.
Using the information provided:
- Wave Speed, v = 150 m/s
- Frequency, f = 15 Hz
we calculate the wavelength as follows:
λ = 150 m/s / 15 Hz = 10 m
Therefore, the wavelength of the wave in the rope is 10 meters.