Question

A 12 kg hanging sculpture is suspended by a 80-cm-long, 6.0 g steel wire. When the wind blows hard, the wire hums at its fundamental frequency. What is the frequency of the hum

Answer 1

Answer:

$F=78.3hz$

Explanation:

From the question we are told that:

Mass $m=12$

Length $l=80cm=0.8m$

Linear density $\mu= 6.0g$

Generally the equation for Frequency is mathematically given by

 $F=\frac{1}{2l}\sqrt{\frac{T}{K}}$

 $F=\frac{1}{2(0.8)}\sqrt{\frac{12*9.8*0.8}{6*10^{-3}}}$

 $F=78.3hz$