help

help with e-g please

[100] A modern electric motor has an electrical power as input driving a mechanical load and it is comprised of a power processing unit, electric motor, sensor, and a controller. One of the common applications is in electric vehicles. Consider 2 Tesla models: Table 1: Electric Vehicle Specifications Tesla Model A Tesla Model B Driving Range (Miles) 310 315 Battery Size (kWh) 75 90 On-Board Charger (kW) 10 11.5 Rated Power Output (hp) 328 416 Max Power (hp) 503 762 Rated Torque (lb-ft) 387 443 Max Torque (Ib-ft) 487 687 Top Speed (MPH) 155 163 Curb Weight (kg) 2412 2241 Motor Type 2 AC Induction Motors 2 AC Induction Motors Charge Source (V) 240 240 Motor Max Speed (rpm) 6150 6600 Acceleration 2.5 secs 3.7 secs 0-60 MPH 1 lb-ft = 1.356 Nm 1 hp = 746 W 1 mph = 1.609 km/h (a) If you were on the market for a Tesla, which model would you select (Model A or B?) and why? (5) For questions, b - i, use the Tesla model you selected and clearly state your assumptions: (b) What is the minimum electric power input (kW) that will be needed for the electric motor drive system? [5] (c) Calculate the motor torque at maximum speed for both rated power and maximum power. [5] (d) Calculate the motor speed at maximum torque for both rated power and maximum power. [5] (e) If the vehicle is driven at 60 mph, what should be the electric motor drive system's motor speed, torque, and power requirements? State any assumptions made for your calculations. [10] (1) What is the estimated energy recovered when the vehicle slows down from 75 mph to 60 mph? What will be the advantage for driving the vehicle at 60 mph versus 75 mph speed? [10] (g) Estimate how long (time) can the electric vehicle run without a battery recharge? Show all your work and state you assumptions. [10] [100] A modern electric motor has an electrical power as input driving a mechanical load and it is comprised of a power processing unit, electric motor, sensor, and a controller. One of the common applications is in electric vehicles. Consider 2 Tesla models: Table 1: Electric Vehicle Specifications Tesla Model A Tesla Model B Driving Range (Miles) 310 315 Battery Size (kWh) 75 90 On-Board Charger (kW) 10 11.5 Rated Power Output (hp) 328 416 Max Power (hp) 503 762 Rated Torque (lb-ft) 387 443 Max Torque (Ib-ft) 487 687 Top Speed (MPH) 155 163 Curb Weight (kg) 2412 2241 Motor Type 2 AC Induction Motors 2 AC Induction Motors Charge Source (V) 240 240 Motor Max Speed (rpm) 6150 6600 Acceleration 2.5 secs 3.7 secs 0-60 MPH 1 lb-ft = 1.356 Nm 1 hp = 746 W 1 mph = 1.609 km/h (a) If you were on the market for a Tesla, which model would you select (Model A or B?) and why? (5) For questions, b - i, use the Tesla model you selected and clearly state your assumptions: (b) What is the minimum electric power input (kW) that will be needed for the electric motor drive system? [5] (c) Calculate the motor torque at maximum speed for both rated power and maximum power. [5] (d) Calculate the motor speed at maximum torque for both rated power and maximum power. [5] (e) If the vehicle is driven at 60 mph, what should be the electric motor drive system's motor speed, torque, and power requirements? State any assumptions made for your calculations. [10] (1) What is the estimated energy recovered when the vehicle slows down from 75 mph to 60 mph? What will be the advantage for driving the vehicle at 60 mph versus 75 mph speed? [10] (g) Estimate how long (time) can the electric vehicle run without a battery recharge? Show all your work and state you assumptions. [10]