What is the equation for the air resistance on an object?
The equation for the air resistance, also known as drag force, on an object depends on several factors, including the shape and velocity of the object, the density of the fluid (usually air), and the viscosity and temperature of the fluid.

A commonly used equation for drag force is the drag equation, which can be written as:

F_d = 1/2 * C_d * A * ρ * v^2

where:

F_d is the drag force
C_d is the drag coefficient, which depends on the shape of the object and the fluid it is moving through
A is the cross-sectional area of the object
ρ is the density of the fluid
v is the velocity of the object

Note that this equation is a simplified representation of drag force, and the actual drag experienced by an object can be much more complex. In many cases, computational fluid dynamics simulations are used to accurately predict the drag experienced by an object in a fluid.
Can you give me a concrete real life example where all the variables, such as C_d, A are given, and calculate the resultant drag force?
Sure! Let's consider a cylindrical object with a diameter of 0.1 meters and a velocity of 10 m/s moving through air with a density of 1.2 kg/m^3.

For the drag coefficient, we'll use a value of 0.5, which is a common value for a cylinder moving through air.

So, the cross-sectional area of the cylinder is:

A = π * (d/2)^2 = π * (0.1/2)^2 = 0.00785 m^2

And the velocity of the object is:

v = 10 m/s

Plugging in these values into the drag equation, we get:

F_d = 1/2 * C_d * A * ρ * v^2
F_d = 1/2 * 0.5 * 0.00785 * 1.2 * 10^2
F_d = 47.1 N

So the resultant drag force on the cylinder is 47.1 N.