Enter the initial Cd value, area, drag force, air density, and velocity into the calculator to determine the Cd gain. This calculator helps in understanding the change in the drag coefficient (Cd) due to modifications or changes in conditions.
Cd Gain Formula
The following formula is used to calculate the Cd gain.
Cd_{gain} = frac{2 cdot F_d}{rho cdot A cdot v^2} - Cd_{initial}Variables:
- Cd_{gain} is the change in the drag coefficient
- F_d is the drag force (N)
- rho is the air density (kg/m³)
- A is the area (m²)
- v is the velocity (m/s)
- Cd_{initial} is the initial drag coefficient
To calculate the Cd gain, subtract the initial drag coefficient from the ratio of twice the drag force to the product of air density, area, and the square of velocity.
What is Cd Gain?
Cd gain represents the change in the drag coefficient, which is a dimensionless number that quantifies the drag or resistance of an object in a fluid environment, such as air or water. It is used in engineering to calculate the aerodynamic or hydrodynamic drag experienced by an object. The drag coefficient is influenced by factors such as shape, surface roughness, and flow conditions. Cd gain is particularly useful when assessing the impact of modifications to an object’s shape or surface characteristics on its aerodynamic efficiency.
How to Calculate Cd Gain?
The following steps outline how to calculate the Cd Gain.
- First, determine the initial drag coefficient (Cd_{initial}).
- Next, determine the drag force (F_d) in newtons (N).
- Next, determine the air density (rho) in kilograms per cubic meter (kg/m³).
- Next, determine the area (A) in square meters (m²).
- Next, determine the velocity (v) in meters per second (m/s).
- Next, gather the formula from above: Cd_{gain} = frac{2 cdot F_d}{rho cdot A cdot v^2} – Cd_{initial}.
- Finally, calculate the Cd Gain.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Initial drag coefficient (Cd_{initial}) = 0.30
Drag force (F_d) = 250 N
Air density (rho) = 1.225 kg/m³
Area (A) = 2.5 m²
Velocity (v) = 15 m/s
