what is the frequency?

Question

Standing waves are produced in a stretched rope. If the distance between successive nodes is 0.04m, what is the wavelength? If the wave travels with a speed of 84m/s, what is the frequency?

Answer 1

To solve this you use the wave equation

v=λf

where λ is the Wavelength, Frequency (f) and v is the speed of the wave.

In a standing wave, the distance between successive nodes is half the wavelength.

We can calculate the wavelength as:

λ=2×0.04 m=0.08 m

1. Frequency (f): The speed of the wave (v) is given as 84 m/s. We can use the wave equation to find the frequency:

Rearranging to solve for f:

f=v/λ

Plugging in the values

f=84m/s/0.08m

= 1050 Hz