This is mainly for my brother and his friend. They are students in college and cannot figure out this problem. It's been like 4 hours!
Problem:
Secenario 2 The Orion Crew and Service Module main propulsion system consists of a single rocket engine, fuel tanks, and a pressurization system to force the fuel into an ignition chamber. The main propulsion system will be used to perform "burns" where the engine produces a force (thrust) which propels the spacecraft. The engine will be able to generate 33,000 Newtons of thrust. The fuel for the main propulsion system is monomethyl hydrazine (MMH), with a density of 1.021 g/cm^3. This liquid propellant ignites on contact with nitrogen tetroxide (N2O4) and needs no ignition source. This easy start and restart capability, and the fact that MMH can be stored at room temperature without cooling makes this propulsion system attractive for spacecraft maneuvering.
While hte original deign calls for two seperate smaller fuel tanks, a single fuel tank is proposed to increase the fuel capacity for longer-duration missions. Engineerrs propose a cylindrical tank measuring 2.5m in diameter and 0.75m in length containing MMH for the main propulsion. Assume the tank cannot be filled to more than 85% capacity, and that the acceleration due to gravity is 9.81m/s^2.
a. Calculate the maximum total hydrostatic force acting on the bottom flat wall of the tank when the tank is upright.
b. Using integration, calculate the maximum height of MMH in the tank when the tank is on its side.
c. Calculate the maximum total hydrostatic force acting on the flat wall of the tank when it is on its side.
Problem:
Secenario 2 The Orion Crew and Service Module main propulsion system consists of a single rocket engine, fuel tanks, and a pressurization system to force the fuel into an ignition chamber. The main propulsion system will be used to perform "burns" where the engine produces a force (thrust) which propels the spacecraft. The engine will be able to generate 33,000 Newtons of thrust. The fuel for the main propulsion system is monomethyl hydrazine (MMH), with a density of 1.021 g/cm^3. This liquid propellant ignites on contact with nitrogen tetroxide (N2O4) and needs no ignition source. This easy start and restart capability, and the fact that MMH can be stored at room temperature without cooling makes this propulsion system attractive for spacecraft maneuvering.
While hte original deign calls for two seperate smaller fuel tanks, a single fuel tank is proposed to increase the fuel capacity for longer-duration missions. Engineerrs propose a cylindrical tank measuring 2.5m in diameter and 0.75m in length containing MMH for the main propulsion. Assume the tank cannot be filled to more than 85% capacity, and that the acceleration due to gravity is 9.81m/s^2.
a. Calculate the maximum total hydrostatic force acting on the bottom flat wall of the tank when the tank is upright.
b. Using integration, calculate the maximum height of MMH in the tank when the tank is on its side.
c. Calculate the maximum total hydrostatic force acting on the flat wall of the tank when it is on its side.