Answer to Question #184978 in Civil and Environmental Engineering for John Prats

Question

Standing waves are established in a string. The frequency of the wave is 512 Hz and the distance between two successive nodes is 8 cm. Calculate the velocity of the wave in the string.

Answer 1

velocity of wave = frequency $\times$ wavelength

wavelength = 8 cm or 0.08 m

Frequency= 512 Hz

$\nu=\digamma\lambda$

the distance between two nodes represents half wavelength = 0.5 $\lambda$

wavelength = $2\times 0.08 = 0.16 m$

$\nu= 512 \times 0.16 = 81.92 m/s$