We have been studying the resistance associated with the traveling of heat in solids (conductive resistance). The understanding of these principles allows us to predict and account for different behaviours in various situations. Particularly, we have studied regular shaped bodies such as walls, cylinders and spheres. In this unit, you are to use this knowledge and, as engineers, design AND manufacture a thermal cup/mug. The task has been broken down into two parts: Assignment 1 will require you to use theory and design the thermo, while Assignment 2 will require you to actually manufacture it. Thermal cup/mugs (also known as travel mugs or thermos) are used to keep beverages warm for a given period by making use of insulating materials and high-performance design. Patents for thermal cups date as far back as 1958. A relatively recent thermal cup patent issued in 2004 defines its invention as: "A thermal cup includes a hollow inner cup body having an inner surrounding wall and an outer surrounding wall that confine an enclosed chamber therebetween, and an outer cup body made of a heat insulating material and disposed to surround the outer surrounding wall of the inner cup body. The inner surrounding wall furth confines a space for containing liquid therein. The outer cup body cooperates with the outer surrounding wall of the inner cup body to confine a clearance therebetween. A thermal conductor unit is provided on the outer surrounding wall of the inner cup body, and is disposed in the clearance." (Luo, 2004). 1) Project your own thermal cup/mug, based on professional models and existing patents. You should determine its geometry, dimensions, materials. The requirements are: a. Total volume (dimension) cannot exceed 1.5 L b. Should hold at least 300 mL of liquid c. Cannot weigh more than 700 g d. e. Should be "liquid proof", i.e., cannot leak or deteriorate when in contact with liquids. Should keep contents at a temperature higher or equal to 55% of the original temperature for at least 3 hours. f. Aesthetics will not be marked 2) Sketch your project (manually or using software), justify through references or calculations the choosing of the geometry, dimensions and materials, display (or estimate) all the thermal conductivity (k) involved 3) Estimate the price your thermo would cost. That is, the manufacturing price (design, materials, labour, equipment, etc.). Note this is NOT the retail price. * 4) Calculate the expected heat transfer and the expected energy loss over a period of 3 hours and show that your envisioned product is capable of keeping liquid inside at a temperature higher or equal to 55 % of the original temperature for 3 hours in a city like Sydney. *