The following data are available from orthogonal cutting experiments. In both cases, depth of cut (feed) to = 0.13 mm, width of cut w = 2.5 mm, rake angle a = -5°, and cutting speed V = 2 m/s. a. Determine the shear angle o, friction coefficient u, shear stress t and shear strain y on the shear plane, chip velocity Vc and shear velocity Vs, as well as the unit energies. Compare the results. Parameters Chip thickness, tc, mm Cutting force, Fe, N Thrust force, F₁, N Work piece Materials Aluminum 0.23 430 280 Parameters Flow strength (Y₁, MPa) Thermal diffusivity; K, mm²/s Volumetric specific heat; pc, N/mm²°C Steel 0.58 890 800 b. Estimate the temperatures for the conditions of last problem for the following work piece properties. Work piece Materials Aluminum Steel 120 523 97 14 2.6 3.3

(5) In order to forge a pure gold ring, you first need to purchase the gold. The ring design is a simple band wrapped in a circle, with dimensions given below. Using the Pappus-Guldinus Theorem #2, how many grams of gold are needed for this ring? The density of gold is 19.3 g/cm³. 2 cm 1 cm 0.5 cm 0.5 cm

how did you get the value 190.68

Question 6 a) The bore of each cylinder in a six-cylinder car engine is 45 mm and the stroke for each piston is 125 mm. calculate the cubic capacity of the engine in cubic centimetres (cm³); and calculate the clearance volume per cylinder for a compression ratio, r, of 8.75. b) The bore of each cylinder in a four-cylinder four-stroke internal combustion engine is 38 mm and the stroke of each piston is 165 mm. During testing, the engine runs at 180 revolutions per minute (rpm) with a pressure-volume indicator diagram showing a mean net area of 3.4 cm² and a diagram length of 1.2 cm. The pressure scale on the indictor diagram is set to 150 kN/m² per cm. Calculate the mean effective pressure (m.e.p) and the indicated power developed by this four-cylinder four-stroke engine. c) Figure Q6c shows a pulley system with a suspended load w of 2000 N. Calculate the following: (i) (ii) (iii) (iv) The effort force (FEffort) necessary to lift and hold a load of 2000 N. The ideal mechanical advantage…