What is the wavelength and 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

The wavelength, λ, is twice the distance between nodes, so λ = 0.08 m.

 

The traveling wave equation is   v = f λ ,   so

 

   84 =  f  0.08        and thus f =  1050 Hz.