3 years ago

Which types of waves requires matter to carry energy?

Physics

1 answer:

fredd [130]3 years ago

7 0

Answer:

Mechanical waves

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anygoal [31]

The mass of the cylinder D is obtained by integrating the density function over D:

$\displaystyle\iiint_D\rho(r,\theta\,z)\,\mathrm dV$

With $\rho(r,\theta,z)=1+\frac z2$ , and

$D=\left\{(r,\theta,z)\mid 0\le r\le2,0\le z\le10\right\}$

the mass would be

$\displaystyle\int_0^{2\pi}\int_0^2\int_0^{10}1+\frac z2\,\mathrm dz\,\mathrm dr\,\mathrm d\theta=4\pi\int_0^{10}1+\frac z2\,\mathrm dz$

$4\pi\left(z+\dfrac{z^2}4\right)\bigg|_0^{10}$

$=4\pi\left(10+\dfrac{100}4\right)=\boxed{140\pi}$

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Answer:

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