Calculator · Fluid Mechanics

Drag Force Calculator

The drag on a body in a stream follows from its dynamic pressure, its reference area and a drag coefficient that comes from measurement. The coefficient is yours to supply: nothing here estimates it from a shape, a Reynolds number or a turbulence state.

Inputs

The speed of the body relative to the fluid far from it.

A coefficient is only meaningful with the area it was measured against.

Results

Drag force F_D = ½ ρ V_rel² C_D A_ref

122.5 N

A magnitude. With no stated direction of relative motion, none is invented.

Fluid density ρ1.225 kg/m³
Relative speed V_rel20 m/s
Dynamic pressure ½ρV²245 Pa
Drag coefficient C_D1
Reference area A_ref0.5 m²
Drag force F_D122.5 N

Assumptions

  • · Steady incompressible flow with a prescribed drag coefficient.
  • · The drag coefficient is supplied, not predicted from the Reynolds number.

Technical reference

F_D = ½ ρ V_rel² C_D A_ref

q = ½ ρ V_rel²

F_D
drag force magnitude on the body[N]
V_rel
speed of the body relative to the fluid[m/s]
C_D
prescribed drag coefficient[-]
A_ref
reference area the coefficient refers to[m²]

A zero relative speed gives exactly zero drag. A negative area, density or coefficient is not a valid state and is refused.

Lift, boundary layers and any prediction of C_D from geometry or Reynolds number are outside this version.

Reference case: ρ = 1.225 kg/m³, V = 20 m/s, C_D = 1, A = 0.5 m² gives F_D = 122.5 N.

Related tools