The distance between adjacent nodes of the standing wave created by the tuning fork in the air is 38.6 cm

The distance between adjacent nodes of the standing wave created by the tuning fork in the air is 38.6 cm. Determine the frequency of the tuning fork, the speed of sound is 340 m / s.

From the condition it is known that the distance between adjacent nodes of the standing wave created by the tuning fork in the air is 38.6 cm, let’s immediately convert the value into meters 38.6 cm = 0.386 m.And we need to find the vibration frequency of the tuning fork if it is known that the speed of sound is equal to 340 m / s.

Let us apply the formula for finding the wave velocity to solve the problem:

ν = V / λ.

We have all the values to calculate. It remains to substitute the values into the formula and calculate:

ν = 340 m / s / 0.386 m = 881 Hz.

Answer: 881 Hz.



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