The drag force pushes opposite your motion as you ride a bicycle. if you double your speed, what happens to your force?

Explanation:

The Drag Force equation is:

(1)

Where:

is the Drag Force

is the Drag coefficient, which depends on the material

is the density of the fluid where the bicycle is moving (air in this case)

is the transversal area of the body or object

the bicycle's velocity

Now, if we assume , and are constant (do not change) we can rewrite (1) as:

(2)

Where groups all these coefficients.

So, if we have a new velocity , which is the double of the former velocity:

(3)

Equation (2) is written as:

(4)

Comparing (2) and (4) we can conclude the Drag force is four times greater when the speed is doubled.