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# Force of Drag

vCalc.Force of Drag

The **Force of Drag** equation, F_{drag}= ½⋅(ρ⋅A⋅Cd⋅v²) , * Forces on motion in flight. *calculates the resisting force of drag on an object flowing through a medium (e.g. air).

**INSTRUCTIONS:** Choose your preferred units and enter the following:

- (
**ρ**) Density of air with a default cited below. - (
**C**) Drag Coefficient._{d} - (
**A**) Surface Area. - (
**V**) Velocity.

**Force of Drag (F _{drag})** The force of drag or air-resistance is returned in newtons. However, this can be automatically converted to other force units via the pull-down menu.

The default units are Pa - kg/m^{3}, Cd - N/A, A - m^{2}, V - m/s. However, vCalc provides automatic unit conversions in many cases.

#### The Math / Science

The formula for the force of drag is:

where:

- F
_{drag}is the force of drag - ρ is the density of the medium (e.g. density of air)
- A is the cross-section area
- Cd is the drag coefficient
- v is the velocity

##### Measured Drag Coefficients (Cd)

The graphic shows some common drag coefficients based on the shape of the object. Note, that there are other factors besides shape that can effect drag.

Graphics courtesy of Wikipedia (Drag coefficient)

##### Density of Air

The **density of air**, ρ (Greek: rho) (air density), is the mass per unit volume of Earth's atmosphere. Air density, like air pressure, decreases with increasing altitude. It also changes with variation in temperature or humidity. At sea level and at 15 °C, air has a density of approximately 1.225 kg/m^{3} (0.001225 g/cm^{3}, 0.0023769 slug/ft^{3}, 0.0765 lbm/ft^{3}) according to ISA (International Standard Atmosphere).

- At IUPAC standard temperature and pressure (0 °C and 100 kPa), dry air has a density of 1.2754 kg/m
^{3}(the default above). - At 20 °C and 101.325 kPa, dry air has a density of 1.2041 kg/m
^{3}. - At 70 °F and 14.696 psi, dry air has a density of 0.074887lb
_{m}/ft^{3}.

#### See Also

# References

- Wikipedia - http://en.wikipedia.org/wiki/Drag_coefficient
- Wikipedia - http://en.wikipedia.org/wiki/Density_of_air
- Light and Matter(Dr. Benjamin Crowell) Chapter 4.3 Newton's Second Law

**Force of Drag**, is used in 2 calculators and 1 equation/constant.

**Calculators**

**Equations and Constants **

**Force of Drag**, is listed in 3 Collections.