A wave on a rope is 6.1m .
a.) What is the wavelength of this
wave?
b.) If the frequency of the wave is
6.2Hz, what is the wave velocity?
a. depends on how many nodes are on the string. If only one at each end, wavelength is 12.2m
b. depends on a above, but freq*wavelength=wave velocity
0.0075m
To answer these questions, we need to understand the relationship between wavelength, frequency, and wave velocity.
The formula that relates these three quantities is as follows:
v = λ * f
Where:
v is the wave velocity,
λ is the wavelength,
f is the frequency.
Now let's solve the questions step by step:
a) To find the wavelength of the wave, we already know the wave length is 6.1m, so we don't need any calculations. The wavelength is simply 6.1m.
b) To find the wave velocity, we'll use the formula v = λ * f.
Given:
λ = 6.1m (as found in the previous question)
f = 6.2Hz
Substituting these values into the formula, we can calculate the wave velocity (v).
v = 6.1m * 6.2Hz
v = 37.82 m/s (rounded to two decimal places)
Therefore, the wave velocity is approximately 37.82 m/s.