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The feasibility of a one-passenger VTOL (vertical takeoff and landing) craft is under review. The preliminary design calls for a small engine with a high power-to-weight ratio driving an air pump that draws in air through the 62° ducts with an inlet velocity v = 45 m/s at a static gage pressure of -1.246 kPa across the inlet areas totaling 0.1355 m². The air is exhausted vertically down with a velocity u = 408 m/s. For a 82-kg passenger, calculate the maximum net mass m of the machine for which it can take off and hover. (See Table D/1 for air density.)

The feasibility of a one-passenger VTOL (vertical takeoff and landing) craft is under review. The preliminary design calls for a small engine with a high power-to-weight ratio driving an air pump that draws in air through the 62° ducts with an inlet velocity v = 45 m/s at a static gage pressure of -1.246 kPa across the inlet areas totaling 0.1355 m². The air is exhausted vertically down with a velocity u = 408 m/s. For a 82-kg passenger, calculate the maximum net mass m of the machine for which it can take off and hover. (See Table D/1 for air density.)

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Table D/1 Physical Properties Density (kg/m3) and specific weight (lb/ft³) lb/ft3 0.07530 168 Air Aluminum Concrete (av.) Copper Earth (wet, av.) (dry, av.) Glass Gold Ice Iron (cast) Lead Mercury Oil (av.) Steel kg/m³ 1.2062 2 690 2 400 8 910 1760 1280 2 590 19 300 900 7210 11 370 13 570 900 7 830 4 510 1 000 Titanium Water (fresh) (salt) Wood (soft pine) (hard oak) * At 20°C (68°F) and atmospheric pressure 1030 480 800 150 556 110 80 162 1205 56 450 710 847 56 489 281 62.4 64 30 50
Transcribed Image Text:Table D/1 Physical Properties Density (kg/m3) and specific weight (lb/ft³) lb/ft3 0.07530 168 Air Aluminum Concrete (av.) Copper Earth (wet, av.) (dry, av.) Glass Gold Ice Iron (cast) Lead Mercury Oil (av.) Steel kg/m³ 1.2062 2 690 2 400 8 910 1760 1280 2 590 19 300 900 7210 11 370 13 570 900 7 830 4 510 1 000 Titanium Water (fresh) (salt) Wood (soft pine) (hard oak) * At 20°C (68°F) and atmospheric pressure 1030 480 800 150 556 110 80 162 1205 56 450 710 847 56 489 281 62.4 64 30 50
The feasibility of a one-passenger VTOL (vertical takeoff and landing) craft is under review. The preliminary design calls for a small engine with a high power-to-weight ratio driving an air pump that draws in air through the 62° ducts with an inlet velocity v = 45 m/s at a static gage pressure of -1.246 kPa across the inlet areas totaling 0.1355 m². The air is exhausted vertically down with a velocity u = 408 m/s. For a 82-kg passenger, calculate the maximum net mass m of the machine for which it can take off and hover. (See Table D/1 for air density.) 62 F Answer: m = Ti TYP 6274 kg
Transcribed Image Text:The feasibility of a one-passenger VTOL (vertical takeoff and landing) craft is under review. The preliminary design calls for a small engine with a high power-to-weight ratio driving an air pump that draws in air through the 62° ducts with an inlet velocity v = 45 m/s at a static gage pressure of -1.246 kPa across the inlet areas totaling 0.1355 m². The air is exhausted vertically down with a velocity u = 408 m/s. For a 82-kg passenger, calculate the maximum net mass m of the machine for which it can take off and hover. (See Table D/1 for air density.) 62 F Answer: m = Ti TYP 6274 kg
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