Imagine people breathing on the length of a 40,000-km steel pipe that forms a ring to fit snugly entirely around the circumference of Earth so as to raise its temperature by 1°C. The pipe gets longer—and is no longer snug. How high does it then stand above ground level? Show that the answer is an astounding 70 m higher! (To simplify, consider only the expansion of its radial distance from the center of Earth, and apply the geometry formula that relates circumference C and radius r —that is, C = 27 πr )
Imagine people breathing on the length of a 40,000-km steel pipe that forms a ring to fit snugly entirely around the circumference of Earth so as to raise its temperature by 1°C. The pipe gets longer—and is no longer snug. How high does it then stand above ground level? Show that the answer is an astounding 70 m higher! (To simplify, consider only the expansion of its radial distance from the center of Earth, and apply the geometry formula that relates circumference C and radius r —that is, C = 27 πr )
Imagine people breathing on the length of a 40,000-km steel pipe that forms a ring to fit snugly entirely around the circumference of Earth so as to raise its temperature by 1°C. The pipe gets longer—and is no longer snug. How high does it then stand above ground level? Show that the answer is an astounding 70 m higher! (To simplify, consider only the expansion of its radial distance from the center of Earth, and apply the geometry formula that relates circumference C and radius r—that is, C = 27πr)
Imagine a 40,000-km steel pipe that forms a ring to fit snugly entirely around the circumference of Earth. Suppose that people along its length breathe on it so as to raise its temperature by 1°C. The pipe gets longer—and is also no longer snug. How high does it stand above ground level? Show that the answer is an astounding 70 m higher! (To simplify, consider only the expansion of its radial distance from the center of Earth, and apply the geometry formula that relates circumference
Suppose that the Earth wore a snug steel belt around its equator (r = 6378 km). If everyone on Earth breathed on this steel belt simultaneously so that the belt's temperature increased by 2°C, how high off of the Earth would the belt be lifted?
Hint: the coefficient of linear expansion of steel is 0.000012
Convert your answer from km to feet.
1 km = 1000 m
1 meter = 3.28 feet
your cooler was 50 cm wide, 35 cm long, and 40 cm high and IS
manufactured from two layers of 2 mm thick polished aluminum that sandwich
a 1/2 inch (1.27 cm) thick layer of rigid urethane foam. Your weather app
showed an outside temperature of 35° C and you expertly estimated the sand
to be at 55° C as it was too hot to walk barefoot in the sand.
Calculate the rate of heat transfer by conduction from the hot sand to the
cooler.
If
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
The Laws of Thermodynamics, Entropy, and Gibbs Free Energy; Author: Professor Dave Explains;https://www.youtube.com/watch?v=8N1BxHgsoOw;License: Standard YouTube License, CC-BY