Question

A wire with mass 75.0 g is stretched so that its ends are tied down at points 88.0 cm apart. The wire vibrates in its fundamental mode with frequency 80.0 Hz and with an amplitude of 0.300 cm at the antinodes.

1. What is the speed of propagation of transverse waves in the wire?

2. Compute the tension in the wire.

Answer 1

SOLUTION;

m= mass = 75 g = 0.075 kg

L = 88 cm = 0.88 m

f = frequency = 80 Hz

Let's the speed of propagation of transverse wave wire is = v

And tension of wire is = T

= wave length

Now, the wire ends are tied so we can say

a) we knw that the spped wavelength formula

  

The speed of propagation of transverse wave is = 140.8 m/s

b)

m= 0.075 kg

   = linear mass density

We know that

The tension of wire is = 1689.6 N