(c) The cabin of a cable car is accelerating up a mountain, driven by an electric motor. It climbs up to an altitude of

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C The Cabin Of A Cable Car Is Accelerating Up A Mountain Driven By An Electric Motor It Climbs Up To An Altitude Of 1 (69.22 KiB) Viewed 93 times

(c) The cabin of a cable car is accelerating up a mountain, driven by an electric motor. It climbs up to an altitude of 500 m. The whole cabin including the load weighs 4,000 kg. Due to strong winds the cable car had to accelerate and decelerate constantly, between 30 mph and 60 mph. Assume that every acceleration cycle lasts 10 seconds and every deceleration cycle lasts 2 seconds. Assume that there is a 1:50 relationship between mph of the car and rpm of the electric motor that is driving it. Every time that the car accelerates, the motor provides 156 Nm of torque. Ignore any gears that may be present. It is an innovative cable car, which carries its own battery, which supplies the electric motor and can hold 7 kWh. (i) (ii) Determine if a fully charged battery would last the whole route. [2 marks] Assuming the electrical machine would be capable of recovering all the kinetic energy of the cable car when it decelerates, determine the counter-torque that the machine would need to apply during regenerative breaking mode. [3 marks) Question continued on next page 2 H6097 ELECTRICAL DRIVE SYSTEMS Calculate the energy that would be recovered during every deceleration cycle, if the electrical machine can only supply 450 Nm of counter-torque. [4 marks]