Apiano wire of length 2.5 m vibrates so that one-half wavelength is contained on the string. if the frequency of vibration is 35 hz, the amplitude of vibration is 3.0 mm, and the density is 20 g/m, how much energy is transmitted per second down the wire?

The energy transmitted per second down the wire is 0.761 watt.

Explanation:

Given that,

Length = 2.5 m

Amplitude = 3.0 mm

Density = 20 g/m

Frequency = 35 Hz

We need to calculate the wavelength

Using formula of wavelength

Put the value into the formula

We need to calculate the speed

Using formula of speed

Put the value into the formula

We need to calculate the energy is transmitted per second down the wire

Using formula of the energy is transmitted per second

Put the value into the formula

Hence, The energy transmitted per second down the wire is 0.761 watt.

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s