Part 3: System installation settings To ensure successful installation of the new pulley system, the following aspects need to be considered: A. During continuous operation, the control box acts almost like an oven, heating the wires and components positioned in there. The rising temperature T of the wiring can be modelled as: Villcup printst T = Too + (To - Too)e-kt The initial temperature of the wires is To = 15 C. The environmental temperature in the control box To. and the coefficient of heating k are available in Table 4. The time t is measured in hours. bred of a. Calculate the temperature of the wiring after 20 hours. b. How long will it take for the wiring to heat up to 50 degrees? B. The gain G of the generator can be adjusted manually via a dial on the Gain control unit. The gain based on the rotating angle is given by: onutinow 1 1 1 Ischemun of) echoes9 0) nieu ,.e.l) a G = Qtan(0.20) 1 1 1 The parameter Q is provided in Table 5. a. What is the gain G if you turn the dial by 0 = 60 degrees? b. What is the required turning angle 0 to achieve a gain of G = 6. PP 108 9089 Page 7 of 1\fM = Mass 1 = Length T= Time Power Pava ~ C. The control unit for the motor settings is often placed remotely from the pulley for convenient access. The cable connecting the two forms the shape of a catenary: saso s mont beterlisp sisb pnieu apnivse vpione beloiberg souborg of 9is BOY y = a x cosh where x = " BIN not siege to wod laut ends onhub male sryb art to ephivise vpione eri worle S oldeT a. Calculate the height of the attachment point (y), given the 019 cable distance d between the control unit and pulley, and the sen bo SSIOn14 I Sub) desired clearance height a (a and d provided in Table 6). Je s mildste b. Calculate the cable length L between the two attachment no m woll points. pine noll (fliw eestoob epnivee verone of!) erinom leaves 19vo apnivse ypiens erdi eworle & oldBT a (emit eve villeup visited pinilab