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Parachute in the wind. In still air, a parachute with a payload would fall vertically at terminal speed of 4 m/s. Find the direction and magnitude of its terminal velocity relative to the ground if it falls in a stead wind blowing horizontally west to east at 10 m/s.
You are correct in drawing the right triangle and the magnitude calculation, but perhaps it would help to understand where the triangle is drawn to find the direction. Let us examine the right triangle with the eastward vector and a translation of the downward vector east as legs. Using basic trigonometry, we find the angle is $\arctan\left(\frac410\right),$ which is about $21.8$ degrees. Looking at the triangle, we see that this angle is below east, since the parachute is losing altitude.
Jordan Hatmaker was mid-air and halfway through her skydiving license training when her parachute malfunctioned. The pilot chute, a smaller parachute that pulls out the main canopy, wrapped around her leg. She plummeted toward the ground at 125 mph with nothing to slow her down.
Now in strategy mode, Jordan tried to free herself from the lines. Suddenly her reserve parachute fired, causing the main canopy to catapult out of its bag. This caused a downplane, which occurs when two parachutes are inflated simultaneously and both fly towards the ground. The descent rate of a downplane is very high, and landing one usually results in severe injuries or death.
In 1983, Booth received the Parachute Equipment Industry Association Achievement Award. The Federation Aeronautic International awarded him the 1984 Gold Medal for outstanding achievement in parachute safety design.
Booth's invention of the 3-ring release safety device enhanced skydiving safety. The device allows the rapid release of the skydiver's main parachute in the event of a malfunction. As of 2020, all sport skydiving equipment and some military systems employ the design.[3]
He also invented the pull-out and throw-out pilot chute.[4] A pilot chute is a small parachute used to extract and deploy a main parachute. The throw-out approach replaces the spring-loaded pilot chute which was released by a rip-cord. The throw-out system allows the skydiver to deploy his or her pilot chute directly into the air stream. Other inventions include the Skyhook RSL[5][6] safety device and the "Sigma System" for tandem drogue release.
Booth was also instrumental in obtaining FAA recognition of the tandem jump as a means of teaching skydiving. From 1984 to 2001, tandem skydiving was possible in the U.S. only as an "volunteer experimental test jumper" under exemptions to FAA rules, due to the "one person, two parachutes" definition of parachuting.[7]
At the National Scientific balloon Facility (NSBF), when operating stratospheric balloons with scientific payloads, the current practice for separating the payload from the parachute after descent requires the sending of commands, over a UHF uplink, from the chase airplane or the ground control site. While this generally works well, there have been occasions when, due to shadowing of the receive antenna or unfavorable aircraft attitude, the command has not been received and the parachute has failed to separate. In these circumstances the payload may be dragged for long distances before being recovered, with consequent danger of damage to expensive and sometimes irreplaceable scientific instrumentation. The NSBF has therefore proposed a system which would automatically separate the parachute without the necessity for commanding after touchdown. Such a system is now under development.. Mechanical automatic release systems have been tried in the past with only limited success. The current design uses an electronic system based on a tilt sensor which measures the angle that the suspension train subtends relative to the gravity vector. With the suspension vertical, there is minimum output from the sensor. When the payload touches down, the parachute tilts and in any tilt direction the sensor output increases until a predetermined threshold is reached. At this point, a threshold detector is activated which fires the pyrotechnic cutter to release the parachute. The threshold level is adjustable prior to the flight to enable the optimum tilt angle to be determined from flight experience. The system will not operate until armed by command. This command is sent during the descent when communication with the on-board systems is still normally reliable. A safety interlock is included to inhibit arming if the threshold is already high at the time the command is sent. While this is intended to be the primary system, the manual option would be retained as a back- up. A market survey was carried out to choose a suitable tilt sensor and three prototype systems were built for evaluation. These were installed in standard NSBF terminate units, and flown on routine operational flights throughout 2001 with the automatic pyrotechnic cutter active but off-line. A data logger was also installed to record system parameters during the descent phase. The results of these flights validated the system concept and it was found that the telemetry threshold monitor was also an asset to the operator in deciding when it was safe to send a manual parachute release command. However, the accumu lated test experience indicated that the originally- chosen tilt sensor, which uses a liquid electrolyte and requires an in-flight microprocessor, was not sufficiently rugged or reliable. A solid-state accelerometer, with encapsulated analog signal processing, was therefore selected as a replacement and the threshold electronics redesigned to match this sensor. This system is currently being evaluated on NSBF operation al flights during 2002. On completion of this phase, NASA will review the results and a decision will be made whether to use this design as the primary operational system on future flights. This paper discusses the requirements for such a system and describes the current design in detail. It reports on the evaluation flights of 2001 and 2002 and their results to date.
The inflation of a five-ring cone parachute with the airflow velocity of 18 m/s is studied based on the simplified arbitrary Lagrange Euler (SALE)/fluid-structure interaction (FSI) method. The numerical results of the canopy shape, stability, opening load, and drag area are obtained, and they are well consistent with the experimental data gained from wind tunnel tests. The method is then used to simulate the opening process under different velocities. It is found that the first load shock affected by the velocity often occurs at the end of the initial inflation stage. For the first time, the phenomena that the inflation distance proportion coefficient increases and the dynamic load coefficient decreases, respectively, with the increase in the velocity are revealed. The above proposed method is competent to solve the large deformation problem without empirical coefficients, and can collect more space-time details of fluid-structure-motion information when it is compared with the traditional method.
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