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# Calculating Drag Coefficient by Varying Parachute Area

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## Keb Doak

on 6 December 2012

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#### Transcript of Calculating Drag Coefficient by Varying Parachute Area

Introduction As seen above, not all parachutes are created equal. Our goal is to determine the minimum diameter of a parachute in order to avoid injury or death.

Terminal velocity is when the drag force from air resistance equals the force of a person’s weight.

A person can safely fall from a maximum of 25 ft. (7.62m) without serious injury. A fall from 50ft. (15.24m) or higher will most likely result in death.

The purpose of a parachute is to keep one from accelerating and aid in a safe landing. We scaled down the procedure to toy paratrooper size dropping from different levels in the CCB lobby while measuring flight time.

We constructed 5 new parachutes around the factory-issued parachute radius. These were attached to the paratroopers and flight times were recorded for each new radius at the different fall heights to determine terminal velocity for each specific radius. Determining the Minimum Parachute Size to Avoid Injury by Calculating the Drag Coefficient of a Round Parachute Keb Doak, Brie English, Corey Howard and Hayley Presthus Parachutes that don't work... What size parachute are you wearing? Let's jump. with this in mind... Did you make it? Methods At the beginning of each drop, we ensured the parachute was open so that the time measured was disregarding initial acceleration required to reach terminal velocity. The Physics!! Hooray!! Discussion -"Air-ror" -What is safe? -Shape of the parachute -Petitioning Hasbro Q: A: -6.6 Percent Error -20.5m^2 to avoid death
and 49.5m^2 to avoid injury -Formed by air and
flapped like a jellyfish. - Inhuman treatment of our heros The Math... Drag Formula (only works when using terminal velocity) Kinematics References:

The AFU and Urban Legend Archive Death - Falling Terminal Velocity Date Accessed: 12/1/12
http://www.urbanlegends.com/death/falling_terminal_velocity.html

Keith Stein, Richard Benney, Vinay Kalro, Tayfun E. Tezduyar, John Leonard, Michael Accorsi, Parachute fluid–structure interactions: 3-D computation, Computer Methods in Applied Mechanics and Engineering, Volume 190, Issues 3–4, 27 October 2000, Pages 373-386, ISSN 0045-7825, 10.1016/S0045-7825(00)00208-5. (http://www.sciencedirect.com/science/article/pii/S0045782500002085)

Lyle N. Long and Howard Weiss. The American Mathematical Monthly, Vol. 106, No. 2 (Feb., 1999), pp. 127-135 Published by: Mathematical Association of America. Article Stable URL: http://www.jstor.org/stable/2589049

Physics Forum. Date Accessed: 12/1/12
http://www.physicsforums.com/topic.asp?TOPIC_ID=7318

Speed of a Skydiver (Terminal Velocity) Date Accessed: 12/1/12
http://hypertextbook.com/facts/JianHuang.shtml
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