Question 1 The component shown in Appendix A is to be manufactured using the super alloy Kovar or aluminium alloy 1100. Determine the chamfer angle ‘A’. The customer who requested the change wants to know the mass of both variants and the % difference in the masses, prior to placing the order. You will need to research the density of the materials and provide referenced density values within your response. Question 2 Analyse the oscilloscope trace in shown in Appendix B to determine the equation of the instantaneous voltages ? , ? and calculate phase angle between and hence determine the combined total voltage. Evidence of referenced methodology and formulas is required. Question 3 The voltage across the plates of a capacitor at time t is given by : ? ＝ ?? (1 − ?−?⁄??) The supply voltage is 110V 60Hz and the value of the capacitor is3.5?? and the resistor is 200?Ω. Determine the stated equation is correct for this application. Once verified calculate the initial rate of change of voltage and the rate of change after 0.6s. Question 4 The displacement ? cm of an object from an initial position is given by the following function. ? ＝ 2?4 − 11?3 + 22?2 − 9? − 9 2? − 3 Using polynomial division produces a simplified expression for ? in terms of ? then apply methods of differentiation to determine the following: a) The velocity of the object after half a second. b) The time at which the acceleration will zero. Question 5 Using integration determine the volume of an object that is defined by the the function 3?? + 4?3 − 3?2 + 4. Us the limits to calculate the volume ?＝−2???＝4mm and ?＝1???＝4mm Question 6 A laser diode Class A, which is sold for a unit price of £14.75, is classed as a failure if the threshold current is outside the range of 18 ± 1.2 mA, for a certain customer. In the first production run of 180 devices the mean threshold current was 18.1 mA, with a standard deviation of 0.9 mA. a. Determine the amount of failures in the first production run and yield. b. The customer needs to change his specification to 18 ± 0.8 mA. What impact will this have on future production runs if the same mean and standard deviation is achieved. c. The production manager has asked the sales engineer to renegotiate the specification to obtain a yield of 85%, what specification should be offered.
