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The IORE electric locomotives are some of the most powerful in the world. The locomotives, working...

The IORE electric locomotives are some of the most powerful in the world. The locomotives, working in pairs, weigh 180 tons each. They can pull up to 68 iron-ore wagons weighing 120 tons each. The wagons are coupled together using SA-3 couplers that were designed in the Soviet Union in the 1930s.

  1. The wheels on the locomotives have a maximum diameter of 1250mm when new and a minimum diameter of 1150mm when worn. If each of the electric motors on the drive axles (of which there are 6 per locomotive) can generate a maximum torque of 115kNm, what is the maximum tensile force that the wagon couplers must withstand when the train is starting from rest?

  1. If each electric motor has a constant power output of 920kW, what total force do they apply when the train is travelling on horizontal track at a speed of 60km/h?

  1. c) If we assume that the force in part (b) is purely a resistive force due to the air and scales as v2, with what constant speed in km/h can the train climb an incline of 10‰ ?

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