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 1200N.
F=
To estimate the buoyant force that air exerts on you, we first need to find your volume. We can do this by assuming that your weight density is a bit less than that of water.
Weight density is defined as the weight per unit volume of a substance. For water, the weight density is approximately 1000 kg/m³.
Let's assume that your weight density is 900 kg/m³ (a bit less than water).
To find your volume, we can use the formula:
Volume = Weight / Weight Density
Given that your weight is 1200 N and the weight density is 900 kg/m³, we can convert your weight to kilograms:
Weight = 1200 N = 1200 N * (1 kg/9.8 N) ≈ 122.45 kg
Now we can calculate the volume:
Volume = 122.45 kg / 900 kg/m³ ≈ 0.14 m³
Next, we need to calculate the density of air. The density of air at sea level and room temperature is approximately 1.225 kg/m³.
Now we can calculate the buoyant force using the formula:
Buoyant Force = Volume * Density of Air * Gravitational Acceleration
Buoyant Force = 0.14 m³ * 1.225 kg/m³ * 9.8 m/s²
Buoyant Force ≈ 1.66 N
Therefore, the estimated buoyant force that air exerts on you is approximately 1.66 N.
To estimate the buoyant force that air exerts on you, we need to use Archimedes' principle, which states that an object submerged in a fluid experiences an upward buoyant force equal to the weight of the fluid it displaces.
First, let's assume that the weight density of air is a bit less than that of water, which is approximately 1000 kg/m³. An estimate for the weight density of air would be around 1.2 kg/m³.
Given that your weight is about 1200 N, we can estimate your volume (V) using the equation:
Weight = Volume x Density x Acceleration due to gravity
1200 N = V x 1.2 kg/m³ x 9.8 m/s²
Simplifying the equation, we have:
V = 1200 N / (1.2 kg/m³ x 9.8 m/s²)
V ≈ 102 m³
Now that we have an estimate of your volume, we can calculate the buoyant force (F) using the equation:
F = Volume x Density of fluid x Acceleration due to gravity
F = 102 m³ x 1.2 kg/m³ x 9.8 m/s²
F ≈ 1194 N
Therefore, the estimated buoyant force that air exerts on you is approximately 1194 N.
Fb=volume*density air
= 1200N/densitywater * density air
= 1200N*density air/density water
density water= 1e3kg/m^3
density air= about 1.225 kg/m3
Fb=1200N*(1.224/1e3)=1.2*1.224 N
check my figuring