To determine if the balloon will get off the ground, we need to compare the weight of the balloon with the weight it can support.
The weight of the balloon is given by the formula: weight = mass * acceleration due to gravity
The weight of the fully inflated balloon (with helium) can be calculated using the density of helium:
weight_balloon = (volume_balloon * density_helium) * acceleration due to gravity
The volume of a sphere (balloon) can be calculated using the radius:
volume_balloon = (4/3) * pi * r^3
Given that the radius of the balloon is 2.879m, the volume of the balloon is:
volume_balloon = (4/3) * pi * (2.879)^3
The weight of the fully inflated balloon can therefore be calculated as:
weight_balloon = ((4/3) * pi * (2.879)^3 * density_helium) * acceleration due to gravity
The weight of the load (instruments) is given by: weight_load = mass_load * acceleration due to gravity
Given that the mass of the load is 10kg, the weight of the load is:
weight_load = 10kg * acceleration due to gravity
Now, let's calculate the weights of the balloon and load:
An empty weather balloon with a mass of 5kg has a radius of 2.879m when fully inflated with helium. It is supposed to carry a small load of instruments having a mass of 10kg. Taking air and helium to have the densities of 1.16kg/m³ and 0.160kg/m³ respectively will the balloon get off the ground? Acceleration due to gravity=9.81m/s², Volume of a sphere=(4/3)pi r³
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