Question

the frequency of a vibrating guitar string varies inversely as its length. Suppose a guitar string 0.65 meters long vibrates 4.3 times per second. What frequency would a string 0.5 meters long have?

Answer 1

Question :-

The frequency of a vibrating guitar string varies inversely as its length. Suppose a guitar string 0.65 meters long vibrates 4.3 times per second. What frequency would a string 0.5 meters long have?

↦Step - 1

Y = $\frac{K}{X}$

= F = $\frac{K}{1}$

↦Step - 2

4.3 = $\frac{K}{0.65}$

2.795 = K

↦Step - 3

F = $\frac{2.795}{1}$

↦Step - 4

F = $\frac{2.795}{0.5}$

★ F = 5.59 Times per Second ★