Final answer:
To estimate the rupture lifetime of the cylindrical component, calculate the stress it will experience under the given conditions and compare it to the breaking stress of the low carbon-nickel alloy.
Step-by-step explanation:
To estimate the rupture lifetime of the cylindrical component, we need to determine the stress it will experience under the given conditions and compare it to the breaking stress of the low carbon-nickel alloy. Tensile stress can be calculated using the formula: Stress = Force / Area. The area of a cylindrical component can be calculated using the formula: Area = π * radius^2.
First, we need to convert the diameter of the cylindrical component to its radius. The radius is half of the diameter. So, the radius of the component is 10.5 mm / 2 = 5.25 mm.
Next, we need to calculate the stress. The force is given as 6300 N and the area can be calculated using the formula mentioned earlier. Then, we can compare the stress to the breaking stress of the low carbon-nickel alloy to estimate the rupture lifetime.
The student's question involves estimating the rupture lifetime for a cylindrical component made of a low carbon-nickel alloy under a specified tensile load at a high temperature. This is a typical problem in the field of materials engineering, particularly related to mechanical behavior and properties of materials at elevated temperatures. However, to provide an accurate estimate, one would need additional data on the alloy's properties, such as its creep behavior and strength at 538°C. Without this information, any attempt to estimate the rupture lifetime would be speculative. In practice, engineers would consult material property databases or perform experiments to gather the necessary creep data before calculating the rupture lifetime.