# How do you calculate air resistance on an object if you have how much the object weighs and the acceleration?

## if it is falling

m g down positive
F air resistance up
a down positive

Weight - Fair resistance = m a

m a = m g - Fair resistance

if the F air resistance were equal to the weight, mg , then the acceleration would be zero

m (g-a)

## Is the object falling at constant terminal speed?

Air Resistance then equals weight.

## Well the question never mentioned it if it was at a constant speed, the weight of the object is 1.42N and the acceleration is 4.9m/s^2

how would I calculate that?

## To calculate air resistance on an object, you need additional information such as the object's surface area, its shape, and the air density surrounding it. The weight of the object and its acceleration alone are insufficient to determine air resistance.

However, once you have the necessary information, you can use the formula for air resistance:

Air Resistance = 0.5 * (Air Density) * (Object's Surface Area) * (Velocity Squared) * (Drag Coefficient)

Here's a step-by-step approach to calculate air resistance:

1. Determine the surface area of the object: The surface area refers to the total area of the object that comes in contact with the air. For example, if you have a cube-shaped object, you can calculate the surface area by finding the area of each face and summing them.

2. Find the air density: The air density depends on several factors such as altitude, temperature, and humidity. You can refer to atmospheric tables to find the air density for a particular location or use theoretical models for estimations.

3. Determine the velocity of the object: The velocity is the speed and direction at which the object is moving through the air. Make sure to use the velocity of the object relative to the air, not the ground speed (if there is wind).

4. Determine the drag coefficient: The drag coefficient is a dimensionless value that represents how streamlined or aerodynamic the object is. It is a property specific to each object and can often be found in aerodynamic databases or literature. If the drag coefficient is unknown, you may need to conduct experiments or simulations to estimate it.

Once you have all the required values, you can substitute them in the air resistance formula to calculate the value of air resistance exerted on the object.