Originally posted by cipher
could someone tell me how to derive the equation for drag or send me a site that can do it.
Fd = [Coefficient of drag * density * Area (cross-sectional)*v^2 ] / 2
Originally posted by PrudensOptimus
Fd(Density) = Coeficient of Drag*Density*Area∫v dv
The equation for drag is FD = ½ρAv2CD, where FD is the drag force, ρ is the density of the fluid, A is the projected area of the object, v is the velocity of the object, and CD is the drag coefficient.
The drag force is directly proportional to the square of the velocity of the object. This means that as the velocity increases, the drag force also increases.
The drag coefficient depends on various factors such as the shape and size of the object, the properties of the fluid, and the flow conditions. It is typically determined experimentally by measuring the drag force on an object at different velocities and using the equation to calculate the drag coefficient.
Yes, the equation for drag can be simplified for certain cases, such as when the object is moving at a low velocity or in a fluid with a constant density. In these cases, the equation can be simplified to FD = bv, where b is a constant value.
The equation for drag is important because it allows scientists and engineers to predict and understand the effects of drag on objects moving through fluids. This is crucial in fields such as aerodynamics, where reducing drag is essential for increasing efficiency and performance of aircraft and other vehicles.