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.
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To estimate the buoyant force that air exerts on you, we need to calculate your volume first. We can do this using Archimedes' principle, which states that the buoyant force experienced by an object is equal to the weight of the fluid displaced by the object.
Given that your weight is approximately 1000 N and assuming that your weight density is a bit less than that of water, we can estimate your volume using the equation:
Buoyant force (F_b) = Weight of fluid displaced = weight of object
Now, let's assume that the density of air is approximately 1.2 kg/m³, which is less than the density of water. We can use the equation for weight density:
Weight density (ρ_w) = Weight (W) / Volume (V)
Substituting your weight (W) and the estimated density of air (ρ_w), we get:
ρ_w = W / V
Solving for volume (V), we have:
V = W / ρ_w
Substituting the values, we get:
V = 1000 N / 1.2 kg/m³
V ≈ 833.33 m³
Therefore, the estimated volume of air displaced by your body is approximately 833.33 cubic meters.
Now, to calculate the buoyant force (F_b) exerted by the air, we use the formula:
F_b = ρ_air * g * V
where ρ_air is the density of air and g is the acceleration due to gravity (approximately 9.8 m/s²).
Substituting the values, we get:
F_b ≈ 1.2 kg/m³ * 9.8 m/s² * 833.33 m³
F_b ≈ 9,798 N
Therefore, the estimated buoyant force exerted by air on you is approximately 9,798 Newtons.
Density of man is D = 1000 kg/m^3,
m•g =V•D•g = 1000 N
The man's volume
V = 1000/( D•g) =1000/(1000•9.8) =0.1020408 m^3
Density of air d = 1.2929 kg/m^3
The buoyant force is equal to the weight of the air
displaced by the man
F =V•d•g =0.1020408•1.2929•9.8•1.2929 N