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Question

An emergency braking parachute system on a military aircraft consists of a large parachute of diameter 6 m. If the airplane mass is 8500 kg, and it lands at 400 km/hr, find the time and distance at which the airplane is slowed to 100 km/hr by the parachute alone. Plot the aircraft speed versus distance and versus time. What is the maximum “g-force” experienced? An engineer proposes that less space would be taken up by replacing the large parachute with three noninterfering parachutes each of diameter 3.75 m. What effect would this have on the time and distance to slow to 100 km/hr?

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VerifiedAnswered 1 year ago

Answered 1 year ago

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1 of 12**Data:**

- $m=8500 \mathrm{\,kg}$ Mass of aircraft.
- $D=6 \mathrm{\,m}$ Parachute of diameter.
- $D=3.75 \mathrm{\,m}$ Parachute of diameter.
- $U_0=400 \mathrm{\,\dfrac{km}{h}}$ -Velocity of aircraft.
- $U=100 \mathrm{\,\dfrac{km}{h}}$ -Velocity of aircraft.

It is necessary to determine the time and distance and draw a graphical speed in relation to the distance and time. What is the force $g$?

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