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G-Force Tolerance

SL Type II Mathematics Portfolio

G-force, measured in (g), is a force that acts on a body as a result of acceleration or gravity. Human tolerances of the g-force are depending on the magnitude of the g-force, and the length of time it is being applied, the direction it acts, and the location of application. The human body has a better chance at surviving horizontal g-force. Horizontal g-force is referred as "eyeballs-in". Vertical acceleration upwards is referred to as "blood towards feet". Research shows that humans have a much high tolerance for "eyeballs-in" than any other g-forces. The standard 1g on the Earth's surface is caused by gravity, and to prevent humans from free-falling. As the G-forces increases, the time that a human can tolerate it significantly decreases.

Human Tolerance vs. Horizontal G-force

+Gx (g)

Time (min.)

35

0.01

28

0.03

20

0.1

15

0.3

11

1

9

3

6

10

4.5

30

From the examination of human tolerance to horizontal G-force, a model function will be developed to represent the relationship