I NEED HELP! Already answered on here but does not make sense/work. Please HELP!
A 2.7 kg balloon is filled with helium ( density = 0.179 kg/m^3).
If the balloon is a sphere with a radius of 5.2m , what is the maximum weight it can lift?
Bouyancy is defined as the weight of the displaced fluid (in this case, air).
maxweight lifted=bouyancy-weight balloon-weight helium
= volume*densityair*g-2.7*g-volume(density helium)*g
= volume(densityair-densityhelium)g-2.7g
What does not make sense about that?
volume= 4/3 PI radius^3 I am not certain what to use for denstiy of air, as temperature is not given.
A balloon with a mass of 100 kg is filled with helium (density = 0.179 kg/m3). The balloon is spherical and has a diameter of 12.0 m. What is the maximum mass that can be attached to the bottom of this this helium balloon, for it to be able to fly? The density of air is 1.29 kg/m3.
For this question I got 67.5 kg, can you tell me if that is right, I did the procedure done above but the site I am on is telling me it is the wrong answer,
thanks!
To find the maximum weight the balloon can lift, we need to calculate the buoyant force acting on it.
First, we need to find the volume of the balloon using the formula for the volume of a sphere:
V = (4/3) * π * r^3
Given:
Radius, r = 5.2 m
Using this value, we can calculate the volume:
V = (4/3) * π * (5.2^3)
Next, we need to find the weight of the displaced air by the balloon. The weight of the displaced air can be calculated using the formula:
Weight of displaced air = density of air * volume of the balloon
Given:
Density of air (helium), ρ = 0.179 kg/m^3
Volume of the balloon, V (calculated above)
Weight of displaced air = ρ * V
Finally, the maximum weight the balloon can lift is equal to the weight of the displaced air. So, the maximum weight lifted by the balloon is:
Weight = Weight of displaced air
Simply substitute the given values into the equation and carry out the calculation to find the answer.