Question

What is the drag force exerted on a runner running at 7 min/mi pace (3.83 m/s) on a day with no wind? Assume a coefficient of drag of 0.8, an air density of 1.204 kg/m3, and a frontal surface area of 1.0 m2.

Answer 1

Answer:

7.06454224 Newtons

Explanation:

C = Drag coefficient = 0.8

ρ = Density of air = 1.204 kg/m³

A = Surface area = 1 m²

v = Velocity of wind = 7 min/mi = 3.83 m/s

The Drag force is given by

$F_d=\frac{1}{2}\rho CAv^2 \\\Rightarrow F_d=\frac{1}{2}\times 1.204 \times 0.8\times 1\times 3.83^2\\\Rightarrow F_d=7.06454224\ N$

The drag force exerted on the runner is 7.06454224 Newtons