A traveling wave has a wavelength of 0.50 m and a speed of 20 m/s. Find the wave frequency.
Answer (3)
f = λ v where f is frequency, v is speed and λ is wavelength. So f=20/0.5=40. The unit is 1/s or Hz.
This question can be easily answered by having basic knowledge of waves and its frequency in general and formula that is used to calculate wave frequency when when soeed and wavelength is given in particular.
The frequency of a wave can be calculated using the formula:
frequency = speed / wavelength
For example, if given wavelength is 0.75 and speed is 30 m/s then wave frequency = 30/0.75 = 3000/75 (removing zeroes for ease of calculation) which gives wave frequency = 40Hz
In this case, the speed of the wave is given as 20 m/s and the wavelength is 0.50 m. Plugging these values into the formula, we get:
frequency = 20 m/s / 0.50 m = 40 Hz
Therefore, the required wave frequency is 40 Hz.
The frequency of the traveling wave is 40 Hz. This is calculated using the formula frequency equals speed divided by wavelength. Given a speed of 20 m/s and a wavelength of 0.50 m, the calculation results in a frequency of 40 Hz.
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