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fredd [130]
3 years ago
8

As the result of a thermal inversion the prevailing air temperature profile increases 1°C/100m above the ground level. To what m

aximum height will polluted air rise if it is released at ground level 15°C warmer than the atmosphere? The adiabatic lapse rate is −0.65°C/100m.
Physics
1 answer:
astra-53 [7]3 years ago
5 0

Answer:

909.1 m

Explanation:

Rate of temperature increase with 100 m elevation = 1°C

h = Maximum Height

Adiabatic lapse rate = -0.65°C/100 m

We have the relation

\dfrac{1^{\circ}C}{100}=\dfrac{15^{\circ}C}{h}+\left(-\frac{0.65}{100}\right)\\\Rightarrow \dfrac{1^{\circ}C}{100}+\left(-\frac{0.65}{100}\right)=\dfrac{15^{\circ}C}{h}\\\Rightarrow h=\dfrac{15^{\circ}C}{1.65^{\circ}C}\times 100\\\Rightarrow h=909.1\ m

The maximum height is 909.1 m

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As you know, a common example of a harmonic oscillator is a mass attached to a spring. In this problem, we will consider a horiz
Eddi Din [679]

a)E= U + K = \frac{1}{2}kx² +  \frac{1}{2}mv²

The total energy of the system at any point in the motion is equal to the sum of the elastic potential energy of the spring, U, and of the kinetic energy of the mass, K:

E= U + K = \frac{1}{2}kx² +  \frac{1}{2}mv²

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b) <em>A=</em>\sqrt{\frac{2E}{k}}<em> </em>

The amplitude of the motion compares to the most extreme displacement of the mass-spring system. The displacement of the system, x(t), at time t, for a simple harmonic oscillator is given by,

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<h2><u></u>v_{max}=\omega A<u></u></h2>
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Two children hang by their hands from the same tree branch. The branch is straight, and grows out from the tree trunk at an angl
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Answer:879.29 N-m

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