Match the mold elements in the casting process with the most suitable function:
Let's match the mold elements with their respective functions:
\( \mathbf{P} \) (Blind riser) helps in the function of casting with internal cavity, so \( P-II \).
\( \mathbf{Q} \) (Chill) helps in the faster solidification of metal, so \( Q-IV \).
\( \mathbf{R} \) (Skim bob) is used for removal of impurities, so \( R-V \).
\( \mathbf{S} \) (Core) is used to form internal cavities and features, so \( S-I \).
\( \mathbf{T} \) (Insulating sleeve) helps increase the solidification time by insulating, so \( T-VI \).
\( \mathbf{U} \) (Inoculant) is used to introduce nucleation sites, aiding in the formation of a fine-grained structure, so \( U-III \).
A heat pump, operating in reversed Carnot cycle, maintains a steady air temperature of 300 K inside an auditorium. The heat pump receives heat from the ambient air. The ambient air temperature is 280 K. Heat loss from the auditorium is 15 kW. The power consumption of the heat pump is _________ kW (rounded off to 2 decimal places).
A project involves eight activities with the precedence relationship and duration as shown in the table below. The slack for the activity D is __________ hours (answer in integer).
A company uses 3000 units of a part annually. The units are priced as given in the table below. It costs ₹150 to place an order. Carrying costs are 40 percent of the purchase price per unit on an annual basis. The minimum total annual cost is ₹ _________ (rounded off to 1 decimal place).
Cylindrical workpieces of diameter 60 mm and length 400 mm are machined on a lathe at a cutting speed of 25 m/min and a feed of 0.2 mm/rev. The Taylor’s tool life parameters \(C\) and \(n\) for this setup are 75 and 0.25, respectively. The tool changing time is 3 minutes. With a labor and overhead cost of ₹5 per minute, the tool changing cost per piece is ₹_________ (rounded off to 2 decimal places).
Two plates of thickness 10 mm each are to be joined by a transverse fillet weld on one side and the resulting structure is loaded as shown in the figure below. If the ultimate tensile strength of the weld material is 150 MPa and the factor of safety to be used is 3, the minimum length of the weld required to ensure that the weld does NOT fail is ____________ mm (rounded off to 2 decimal places).