Two nearby nodes of a standing wave are separated by 4.5 m. If the frequency of the wave is 184 Hz, what is the speed of the wave?
To find the speed of the wave, we can use the formula:
Speed of wave (v) = Frequency (f) × Wavelength (λ)
The frequency of the wave is given as 184 Hz.
To find the wavelength, we can use the formula:
Wavelength (λ) = Distance between nodes (d) / Number of nodes (n)
Here, the distance between the nodes is given as 4.5 m.
Since the nodes are adjacent, there is one complete wavelength between them, so the number of nodes (n) is 1.
Substituting the values into the equation:
Wavelength (λ) = 4.5 m / 1 = 4.5 m
Now we can calculate the speed of the wave:
Speed of wave (v) = Frequency (f) × Wavelength (λ) = 184 Hz × 4.5 m = 828 m/s
Therefore, the speed of the wave is 828 m/s.