# What is the equation for force of air resistance?

## What is the equation for force of air resistance?

Air resistance can be calculated by taking air density times the drag coefficient times area all over two, and then multiply by velocity squared.

**How do you find falling velocity with air resistance?**

- An object that is falling through the atmosphere is subjected to two external forces. The first force is the gravitational force, expressed as the weight of the object, and the second force is the aerodynamic drag of the object.
- W = m * g.
- D = Cd * .5 * r * V^2 * A.
- F = m * a.
- a = F / m.
- F = W – D.
- a = (W – D) / m.

**How do you find the net force of a falling object with air resistance?**

The net external force is equal to the difference between the weight and the drag forces (F = W – D). The acceleration of the object then becomes a = (W – D) / m . The drag force depends on the square of the velocity.

### What happens to the air resistance as a body falls?

As an object falls, it picks up speed. The increase in speed leads to an increase in the amount of air resistance. Eventually, the force of air resistance becomes large enough to balances the force of gravity.

**How do you calculate projectile motion with air resistance?**

Mathematically, the resistive force represented by the vector F can be written as F=-f(v) u, where u=V/|V| is the unit vector along the direction of the velocity V. The minus sign guarantees that the air resistance acting on the projectile is always opposite to the direction of its velocity.

**What is net force formula?**

Net force is the sum of all forces acting on an object. The net force can be calculated using Newton’s second law, which states that F = ma, where: F is the net force. m is the mass of the object. a is acceleration.

## How do you calculate the weight of a falling object?

An object in free fall will still have a weight, governed by the equation W = mg , where W is the object’s weight, m is the object’s mass, and g is the acceleration due to gravity.

**How do you account for air resistance in projectile motion?**

Air resistance is clearly dependent on the velocity with which the object moves, i.e., the higher the velocity, the higher the resistance. Mathematically, the resistive force represented by the vector F can be written as F=-f(v) u, where u=V/|V| is the unit vector along the direction of the velocity V.

**What is the air resistance of a falling object?**

Objects falling faster in the air (for example, skydivers) cause considerable amounts of turbulence, and consequently the air resistance experienced by them is much greater. For these objects, the air resistance is directly proportional to the square of the object’s velocity relative to air. The air resistance for these cases is given by:

### What is the formula for air resistance force?

Air Resistance Force (F f) – for this event, we will assume that it is proportional to the velocity V of the body as it falls down. Converting the proportionality relationship into an equation, we now have F f = kV. The constant k is the proportionality constant which is dependent on the problem.

**How can we express the acceleration of a free falling body?**

Again, we are interested in modelling the movement of the free-falling body at any specific point in time; hence We can express the acceleration of the body as instantaneous: Substituting this to our main expression, we can obtain a differential equation that would model the effect of a free falling body affected by air resistance.

**What is the drag coefficient of a falling object?**

But in the atmosphere, the motion of a falling object is opposed by the aerodynamic drag. The drag equation tells us that drag D is equal to a drag coefficient Cd times one half the air density r times the velocity V squared times a reference area A on which the drag coefficient is based: