calc the buoyant force on a 2 L helium balloon
Buoyant force is the wt. of the water displaced.
2L = 2000cm^3.
Density of water = 1g/cm^3.
F = 2000cm^3 * 1g/cm^3 = 2000 Grams.
Correction:
2000g = 2kg = mass.
F = mg = 2kg * 9.8N/kg = 19.6 N.
I got that far too, but the answer is supposed to be 2.53x10^-3 N. I am not given anything else but the volume.
To calculate the buoyant force on a helium balloon, we need to use the principles of buoyancy. Buoyancy is the upward force exerted on an object submerged in a fluid (such as air or water). It is equal to the weight of the fluid displaced by the object.
In this case, the fluid is air, and the balloon is floating in it. The buoyant force is equal to the weight of the air displaced by the balloon. To determine this force, we need to know the density of air and the volume of the balloon.
Let's calculate it step by step:
1. Density of Air:
The density of air can be considered constant in most cases: approximately 1.225 kg/m³ at sea level and room temperature (around 20°C or 68°F).
2. Volume of the Balloon:
You mentioned that the balloon has a volume of 2 L. However, it is essential to convert this volume to cubic meters (m³) because the density of air is given in units of kg/m³.
To convert liters to cubic meters, divide the volume in liters by 1000. Therefore, the volume of the balloon is 2 L / 1000 = 0.002 m³.
3. Buoyant Force Calculation:
To calculate the buoyant force, we multiply the density of the fluid by the volume of the displaced fluid. In this case,
Buoyant Force = Density of Air * Volume of Balloon
Buoyant Force = 1.225 kg/m³ * 0.002 m³
So, the buoyant force acting on the 2 L helium balloon is approximately 0.00245 kg.
Please note that this calculation assumes ideal conditions. In reality, there are factors such as the weight of the balloon material and the effect of temperature and air pressure that could influence the buoyant force.