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14.7 Exercise 10

Avg difficulty 2.5

A skydiver will reach a terminal velocity when the air drag equals their weight. For a skydiver with a large body, turbulence is a factor at high speeds. The drag force then is approximately proportional to the square of the velocity. Taking the drag force to be FD=12ρAv2,F_{\text{D}} = \frac{1}{2} \rho A v^{2} , and setting this equal to the skydiver’s weight, find the terminal speed for a person falling “spread eagle.”

OpenStax University Physics Volume 1, 14.7 Viscosity and Turbulence, exercise 10

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Adapted from University Physics Volume 1 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 1. Imported at revision db44eb9.