Flag Mechanics> The hydrogen-filled airship Hindenburg (s...
question mark

The hydrogen-filled airship Hindenburg (see Fig. 11-24) could cruise at 77 knots with the engines providing 4800 hp. Calculate the air drag force in newtons on the airship at this speed.
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

Shane Macguire , 9 Years ago
Grade upto college level
anser 1 Answers
Deepak Patra

Last Activity: 9 Years ago

To obtain air drag force in newtons, substitute 77 knots for v and 4800 hp for P in the equation F = P/v,
F = P/v
= 4800 hp/77 knots
= (4800 hp/77 knots) (745.7 W/1 hp) (1 knot/1.688 ft/s) (1 ft/s/0.3048 m/s)
= 9.0×104 W/m/s
= (9.0×104 W/m/s) (1 N/1 W/m/s)
=9.0×104 N …… (3)
From the above observation we conclude that, air drag force in newtons on the airship at this speed will be 9.0×104 N.

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