If a peridoic wave has a frequency of 81 Hz, what is the wave's speed?
To find the wave's speed, you need to know the wavelength of the wave. The relationship between frequency, wavelength, and wave speed is given by the equation:
Wave speed = Frequency × Wavelength
Given that the frequency is 81 Hz, we need the wavelength to calculate the wave's speed. However, the wavelength is not given in the question. To find the wavelength, we can use another equation that relates frequency, wavelength, and the speed of light (c):
c = Frequency × Wavelength
The speed of light in a vacuum is approximately 3 × 10^8 meters per second (m/s). Rearranging the equation, we can solve for the wavelength:
Wavelength = c / Frequency
Substituting the known values, we get:
Wavelength = (3 × 10^8 m/s) / 81 Hz
After calculating, we find that the wavelength is approximately 3.7 meters. Now we can substitute this value of wavelength back into the original equation to determine the wave's speed:
Wave speed = Frequency × Wavelength
Wave speed = 81 Hz × 3.7 meters
After calculating, we find that the wave's speed is approximately 300 meters per second (m/s).