Estimate the buoyant force that air exerts on you. (To do this, you can estimate your volume by knowing your weight and by assuming that your weight density is a bit less than that of water.) Assume that your weight is a about 1000 N, for example.
To estimate the buoyant force that air exerts on you, you can use Archimedes' principle, which states that the buoyant force on an object submerged in a fluid is equal to the weight of the fluid displaced by the object.
In this case, since you want to estimate the buoyant force of air, we can assume that the air exerts a force on you equal to the weight of the air you displace. However, air is much less dense than water, so we need to make some assumptions to estimate your volume.
Given that your weight is approximately 1000 N, we can assume your weight density is slightly lower than that of water, which is about 1000 kg/m³. Let's use a conservative estimate of 900 kg/m³ for your weight density.
To estimate your volume, we can use the relationship between weight, density, and volume:
Weight = Density * Volume * Acceleration due to gravity
Rearranging the formula, we can solve for the volume:
Volume = Weight / (Density * Acceleration due to gravity)
Using the given weight of 1000 N, density of 900 kg/m³, and acceleration due to gravity of 9.8 m/s²:
Volume = 1000 N / (900 kg/m³ * 9.8 m/s²)
Volume ≈ 0.114 m³
Now that we have an estimate of your volume, we can calculate the buoyant force of air using the same formula as for other fluids:
Buoyant Force = Weight of fluid displaced = Density of air * Volume * Acceleration due to gravity
The density of air is roughly 1.2 kg/m³, and the acceleration due to gravity is 9.8 m/s²:
Buoyant Force = 1.2 kg/m³ * 0.114 m³ * 9.8 m/s²
Buoyant Force ≈ 1.34 N
Therefore, the estimated buoyant force that air exerts on you is approximately 1.34 Newtons.