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

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

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.