Question

# Thermal infrared (IR) satellites measure cloud top temperatures with a high degree of accuracy. On the morning of

February 7, 2018, a satellite measured a radiance of 3.648 W/m^{2}/micrometer at the top of thunderstorm clouds over west-central Georgia. Use this value and the equation below to solve for the temperature at the top of these thunderstorm clouds. Then, use the sounding on the next page to find the height of the top of the clouds by finding the altitude (on the y-axis of the sounding) that matches the temperature in °Cyou solved for using the equation below. Convert the height from km to feet.__How high above the ground were to tops of these thunderstorm clouds? Show all your work.__

E = radiance measured by the satellite = 3.648 W/m^{2}/micrometer

*λ *= infrared wavelength of the satellite channel = 10.5 micrometers

*T*= temperature (K), this is what you are solving for.

*c*_{1}= 3.74*10^{8}W/m^{2}/micrometer^{4}

*c*_{2}= 1.44*10^{4}micrometer K

### Recently Asked Questions

- Calculate the maturity value of end-of-quarter payments of $3,000 made at 6.59% compounded monthly for 6 years.

- let g be a cubic graph with q edges and girth >=4, how many paths of length 3are in G

- The position of a body at time t sec is s = t 3 - 6t 2 + 9t m. Find the body's acceleration each time the velocity is zero. show all work