Physics: 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?

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Apiano wire of length 2.5 m vibrates so that one-half

Ответ:

jpdagle6921

02.01.2022

Physics

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

$L = \dfrac{\lambda}{2}$

$\lambda=2L$

Put the value into the formula

$\lambda=2\times2.5$

$\lambda=5\ m$

We need to calculate the speed

Using formula of speed

$v = f\lambda$

Put the value into the formula

$v =35\times5$

$v =175\ m/s$

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

Using formula of the energy is transmitted per second

$P=\dfrac{1}{2}\mu A^2\omega^2\times v$

$P=\dfrac{1}{2}\mu\times A^2\times(2\pi f)^2\times v$

Put the value into the formula

$P=\dfrac{1}{2}\times20\times10^{-3}\times(3.0\times10^{-3})^2\times4\times\pi^2\times(35)^2\times175$

$P=0.761\ watt$

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

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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?

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