A longitudinal wave with a frequency of 3.0 Hz takes 1.2 seconds to travel the length of 2.5 m Stinky. Determine the wavelength of the wave.
v = fλ
2.5/1.2 = 3λ
Now finish it off
To determine the wavelength of a wave, we can use the formula:
wavelength (λ) = speed (v) / frequency (f)
In this case, we are given the frequency of the wave (f = 3.0 Hz) and the time it takes for the wave to travel a distance (t = 1.2 seconds) but we need to find the speed of the wave first.
To calculate the speed, we can use the formula:
speed (v) = distance (d) / time (t)
We are given the distance Stinky traveled, which is 2.5 m, and the time it took for the wave to travel that distance, which is 1.2 seconds. Plugging in these values, we get:
v = 2.5 m / 1.2 s
Simplifying this, we find:
v ≈ 2.08 m/s
Now that we know the speed of the wave is approximately 2.08 m/s and the frequency is 3.0 Hz, we can use the formula to find the wavelength:
λ = 2.08 m/s / 3.0 Hz
Evaluating this, we find:
λ ≈ 0.69 m
Therefore, the wavelength of the wave is approximately 0.69 meters.
To determine the wavelength of the wave, we can use the formula:
wavelength = speed / frequency
First, we need to calculate the speed of the wave. The speed of a wave can be calculated using the formula:
speed = distance / time
In this case, the distance is given as 2.5 m and the time is given as 1.2 seconds. Substituting these values into the formula, we have:
speed = 2.5 m / 1.2 s
Calculating this, we have:
speed = 2.0833 m/s (rounded to four decimal places)
Next, we substitute the frequency value of 3.0 Hz into the wavelength formula:
wavelength = speed / frequency
wavelength = 2.0833 m/s / 3.0 Hz
Calculating this, we have:
wavelength = 0.6944 m (rounded to four decimal places)
Therefore, the wavelength of the wave is approximately 0.6944 meters.