A standing wave moves back and forth in a 150 cm long container with a frequency of 0.3 HZ. What is the velocity of the wave?
0.90m/s
To find the velocity of the wave, we need to use the formula:
Velocity (v) = frequency (f) × wavelength (λ)
In the case of a standing wave, the wavelength is equal to twice the length of the container, since a complete wave consists of two halves.
Given:
Frequency (f) = 0.3 Hz
Length of container (L) = 150 cm
First, let's convert the length of the container to meters, as the SI unit for velocity is meters per second (m/s).
150 cm = 1.5 meters (since 1 meter = 100 cm)
Now we can calculate the wavelength:
Wavelength (λ) = 2 × Length of container = 2 × 1.5 meters = 3 meters
Finally, substitute the values into the formula to find the velocity of the wave:
v = f × λ = 0.3 Hz × 3 meters = 0.9 m/s
Therefore, the velocity of the wave is 0.9 m/s.