Question

macmillan learning im Hamm at big bend Coty Conege A 1.30-m-long rope is stretched between two points with a tension that makes the speed of transverse waves 61.4 m/s. What are the wavelength and frequency of the the third harmonic? Number Wavelength = 1 Number Frequency = Hz

Answer 1

Answer:

0.87 m

70.6 Hz

Explanation:

$L$ = length of the rope = 1.30 m

$n$ = order of the harmonic = 3

$\lambda$ = Wavelength

Wavelength is given as

$\lambda = \frac{2L}{n}$

$\lambda = \frac{2(1.30)}{3}$

$\lambda$ = 0.87 m

$v$ = Speed of transverse wave = 61.4 m/s

$f$ = frequency of the third harmonic

frequency is given as

$f = \frac{v}{\lambda }$

$f = \frac{61.4}{0.87}$

$f$ = 70.6 Hz