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- wont the radius be 2 cm?The Radius is in metersFor this problem, we want to estimate the answer, so our assumptions may be a little unrealistic. Suppose we want to estimate how much air we need to send to a space station, assuming we cannot recycle air. Suppose four astronauts are in a spherical space station. If each of them typically breathes about 500 cm³of air with each breathe, and take 15 breathes per minute (average resting value): a. What is the volume of air you would need in the space station if these four astronauts stayed for a full year? b. If the density of air is 1.25 kg/m³ and it costs (thanks to SpaceX) a mere $100/kg to send objects to the space station, how much money would the astronaut air supply cost?
- 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 0.04008Example 3: How many one-gallon milk jugs would need to be emptied in order to fill up a shallow rectangular lake that is 4.00 km long, 1.88 km wide, and 226 cm deep? One gallon is 3760 cm³.how to find the radius with v=30 cm/s and w=10 rad/s