A spherical balloon 6m diameter is filled with gas weighing 5.50N/m^3, what is the maximum load,...

A spherical balloon 6m diameter is filled with gas weighing 5.50N/m^3, what is the maximum load, including its own weight that the balloon can lift?

Solutions

Expert Solution

Ans: Given that , d= 6m , density = 0.561 kg/m³ and density of air = 1.225 kg/m³

Volume = (4/3)*π*r³

= (4/3)*3.14*(3)³ = 113.04 m³

Weight of balloon = volume x density

= 113.04*0.561 = 63.42 kg

Mass of displaced air = 113.04*1.225 = 138.474 kg

Weight of displaced air = 138.272 * 9.81 = 1358.43 N

Maximum load the balloon can carry = 1358.43/9.81 = 138.474kg + self weight

= 138.474+63.42 = 201.894 kg

Ally Wells answered 2 months ago

Next > < Previous

Related Solutions

A spherical balloon has a radius of 6.95m and is filled with helium.

A spherical balloon has a radius of 6.95m and is filled with helium. The density of helium is 0.179 kg/m3, and the density of air is 1.29 kg/m3. The skin and structure of the balloon has a mass of 960kg. Neglect the buoyant force on the cargo volume itself. Determine the largest mass of cargo the balloon can lift.

A spherical mylar balloon filled with Hydrogen gas, with density 0.0899 kg/m3 and having radius 7...

A spherical mylar balloon filled with Hydrogen gas, with density 0.0899 kg/m3 and having radius 7 meters is immersed in a gas having density X1=1.205 for the first 10 km and X2=2.489 for the second 10 km (with the upper atmosphere density smaller than the lower atmosphere density). Determine how long it takes the balloon to reach the top of the second layer. To do this, you will have to: a) find the net force on the balloon (assume the...

A spherical weather balloon is filled with hydrogen until its radius is 3.40 m. Its total...

A spherical weather balloon is filled with hydrogen until its radius is 3.40 m. Its total mass including the instruments it carries is 11.0 kg. (a) Find the buoyant force acting on the balloon, assuming the density of air is 1.29 kg/m3. _________N (b) What is the net force acting on the balloon and its instruments after the balloon is released from the ground? _________N

A 2.8kg balloon is filled with helium ( density = 0.179 kg/m 3 ). Part A...

A 2.8kg balloon is filled with helium ( density = 0.179 kg/m 3 ). Part A If the balloon is a sphere with a radius of 5.1m , what is the maximum weight it can lift? (N)

A balloon is filled up completely with helium gas and left in a room with a...

A balloon is filled up completely with helium gas and left in a room with a controlled temperature of 230C. After two days of being in the same room, the balloon was found to have shrunk to half its filled-up size. However, there was no leakage of helium gas from the balloon during the two days. Explain what happened to the pressure inside the balloon due to the change in the size of the balloon. ? Use Boyle's Law to explain...

A hot air balloon is filled with 1.13 × 106 L of an ideal gas on...

A hot air balloon is filled with 1.13 × 106 L of an ideal gas on a cool morning (11 °C). The air is heated to 111 °C. What is the volume of the air in the balloon after it is heated? Assume that none of the gas escapes from the balloon. At a certain temperature and pressure, one liter of CO2 gas weighs 1.15 g. What is the mass of one liter of CH4 gas at the same temperature...

Spherical particle of silica of 0.1mm diameter falls in water filled in a glass cylinder of...

Spherical particle of silica of 0.1mm diameter falls in water filled in a glass cylinder of 40 mm internal diameter. Estimate the terminal settling velocity of single particle of silica. Also calculate the terminal settling velocity of silica particles when mass ratio of water to silica is 5. .

Q. Spherical glass particles (12 mm diameter and 2500 kg/m 3 density) and spherical metal particles...

Q. Spherical glass particles (12 mm diameter and 2500 kg/m 3 density) and spherical metal particles (1.5 mm diameter and 7500 kg/m3) are falling in water (density= 1000 kg/m3) . (1) Calculate the terminal falling velocities of glass and metal particles in water for a constant friction factor of 0.22. (2) At what water velocity will fluidized beds of glass particles and metal particles have the same bed densities? The relation between fluidization velocity (uc), terminal velocity (ut) and bed...

A balloon is filled with 0.896 g of butane gas, C4H10(g), and 4.553 g of oxygen...

A balloon is filled with 0.896 g of butane gas, C4H10(g), and 4.553 g of oxygen and sealed. If the butane was combusted to form carbon dioxide gas and water vapor (yes, consider the water as a gas) the heat released would increase the temperature of the gases in the balloon. If the balloon was initially at 1.089 atm and 16.1 °C, what is the final volume of the balloon? Hint: You will need to determine the temperature of the...

A gas-filled balloon with a volume of 2.10 L at 1.20 atm and 20°C is allowed...

A gas-filled balloon with a volume of 2.10 L at 1.20 atm and 20°C is allowed to rise to the stratosphere (about 30 km above the surface of the Earth), where the temperature and pressure are −23°C and 3.00×10−3 atm, respectively. Calculate the final volume of the balloon. ____ L

Subjects