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3. Suppose that the windows on the top floor of a thirty-story building will shatter in 200 mile-per- hour winds. Under which of the following circumstances does the passage suggest that the windows would be most likely to break?
A. The building is in the outer reaches of a hurricane when surface-level winds reach 180 miles per hour.
B. The building is in the outer reaches of a hurricane when flight-level winds reach 200 miles per hour.
C. The building is in the eyewall of a hurricane when surface-level winds reach 150 miles per hour.
D. The building is in the eyewall of a hurricane when flight-level winds reach 200 miles per hour.
E. The building is in the eyewall of a hurricane when winds at 1,600 feet reach 200 miles per hour.
A. Building is in outer reaches when surface level winds reach 180.
From the passage, let's find out about outer area speed and what's it relation at various heights.
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estimate eyewall surface-level winds at about 90 percent of flight-level winds, with surface-level winds in the outer reaches at about 78 percent. So, outer area speeds at surface level it is approximately 80% of speeds at flight level which is 10000 feet.
At 10000 feet outer area speeds would be around 180/0.8 = 225.
So, in the outer area, wind speeds vary from 225 at 10000 feet to 180 at surface level. So, outer speed should be 200 at around 5000 feet (midway between flight and surface level). Building with 30 floors (basic world knowledge can be used to estimate that per story height can be around 10-15 feet, so 30 story < 500 feet) is much closer to the surface than 10000 feet. So, building should not be hit with 200 speed outer winds. Most likely reject, but keep in mind in case we don't get a better answer, this might be the one we will pick as the building at least falls in the 180-225 speed range.
B. Outer area speed is 200 at flight level.
Using same information as above we can see that the wind speed is going to be lesser than 200 at the building and surface level. Not enough to break windows.
C. Eyewall speed at surface is 150.
Using same information as in option A, we can figure out that at flight level, eyewall speeds are approximately 150/0.9 = 167.
But the passage tells us another information about eyewall speeds:
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Near the eyewall the strongest winds are usually found at around 1,600 feet, about 20 percent stronger than at flight level. So, at 1600 feet, eyewall is strongest = 167 + 20% = 200.
But if it's maximum is 200 at 1600 feet (height of a 30-story building < 500 feet) and at surface it is 150, then at 30 story level it will be lesser than 200 - not enough to break windows.
D. Eyewall speed is 200 at flight level.
Max is at 1600 feet = 200 + 20% = 240, at surface it is 200 * 0.9 = 180.
If building is around 500 feet, then building's height is around 1/3rd of 1600 feet. Wind loses speed of 60 between 1600 to 0 feet, so at 1/3rd height, it will lose 2/3rd speed i.e. 40. So, at around 1/3rd height, speed of wind = 240 - 40 = 200. Enough to break windows - should be our answer.
E. Eyewall speed is 200 at 1600 feet. This is the max speed. At building level or surface level, the eyewall speed will be much lesser. Not enough.
Between A and D, D has a range of 240 to 180 at 1600 feet to surface respectively, while A has a range of 225 to 180 at 10000 feet to surface respectively.
D is more likely to have winds at around 200 or more at 500 feet height. Maybe drawing it out will help visualise it better - 4 height levels (10000, 1600, 500, and 0) and speeds marked for various scenarios.
Answer D.