Calculating the Net Force of Bruce Nuclear Development

[mr.toronto]

Homework Statement

The Bruce Nuclear Development is a CANDU style reactor. This means that it has a "vaccum building" to "suck" (the contents of a malfunction reactor to a safer place. Refer to the engineering "specs" for the needed information to calculate the net force of the atmposhere acting on the building.

Dimensions of building- 51.m tall .914m thick and 52.1m diameter
Pressure- 90kpa outside of building and 10.3 kpa inside of the build

Homework Equations

mother formula-P= F/A
F= PxA

The Attempt at a Solution

so I'm guessing you add the to pressures you have so it would be 100.3 kpa

surface are of building-51mx52.1mx.914m=2 428.5 m squared

2428.5m x 100.3kpa=
2428.5 x 100 000=242 858 94 0N

 

[lavalamp]

Well, if you were finding the pressure difference, you'd need to subtract, not add. However it's not as simple as that since the internal area and external area of the building are not the same due to the thickness of the walls.

It sounds like this building is a cylinder, but you've taken the measurements to be the length/width/depth and calculated what the volume would be in this case.

Have a think about how to calculate the area of the inside and outside of the building. Then use the respective pressures to calculate the forces on the inside and outside. After that, it's just a subraction.

 

[Moetasim]

To calculate the net force acting on the Bruce Nuclear Development, we first need to understand the forces at play. The building is subject to two pressures, 90 kpa from the outside and 10.3 kpa from the inside. Using the formula F = P x A, we can calculate the force acting on each side of the building.

On the outside, the force would be 90 kpa x 2428.5 m² = 218,565 N. On the inside, the force would be 10.3 kpa x 2428.5 m² = 24,998 N.

To calculate the net force, we subtract the force from the inside from the force on the outside. This gives us a net force of 193,567 N acting on the building.

It is important to note that this calculation only takes into account the pressure forces acting on the building. Other factors, such as wind and gravity, may also contribute to the net force, and would need to be considered in a more comprehensive analysis.