Check Your Understanding We know horn Figure 1.4 that the diameter of Earth is on the order of 10 7 m , so the order of magnitude of its surface area is 10 14 m 2 . What is that in square kilometers (that is, km2)? (Try doing this both by converting 10 7 m to km and then squaring it and then by converting 10 14 m 2 directly to square kilometers. You should get the same answer both ways.)
Check Your Understanding We know horn Figure 1.4 that the diameter of Earth is on the order of 10 7 m , so the order of magnitude of its surface area is 10 14 m 2 . What is that in square kilometers (that is, km2)? (Try doing this both by converting 10 7 m to km and then squaring it and then by converting 10 14 m 2 directly to square kilometers. You should get the same answer both ways.)
Check Your Understanding We know horn Figure 1.4 that the diameter of Earth is on the order of
10
7
m
, so the order of magnitude of its surface area is
10
14
m
2
. What is that in square kilometers (that is, km2)? (Try doing this both by converting
10
7
m
to km and then squaring it and then by converting
10
14
m
2
directly to square kilometers. You should get the same answer both ways.)
The density of atmospheric air varies with elevation (2), decreasing with increasing altitude. a) Using the date given in Table 2, obtain a relation for the variation of density (p) with elevation (2). Assume the earth to be a perfect sphere with a radius (r) of 6377 km and the thickness of the atmosphere is 25 km as illustrated in Figure 1. b) Calculate the density of atmosphere air at an elevation of 7000 m. Atmosphere thickness = 25 km Earth radius, r= 6377 km www 6381 were 6382 Table 2: Density of atmosphere related to earth radius. Radius r, km 6377 6378 6379 6380 6383 6385 6387 6392 6397 6402 *r=z+6377 km Find density of air a Earth surface Density p. kg/m³ 1.225 1.112 7 km 1.007 0.9093 0.8194 0.7364 0.6601 0.5258 0.4135 0.1948 0.08891 0.04008
You encounter a large sink hole and you need to report it to the authorities. When you call they ask you its diameter. Being a hole you can not measure the diameter directly but it takes 150 steps to walk its circumference. What is the hole's diameter? Assume your steps are 0.8 m
The Earth is about 12,000 km in diameter. It is therefore how many orders of magnitude wider than you are tall? (i.e., the Earth’s diameter is how many times larger than your height (give an order-of-magnitude estimate)?)
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