A Tesla car has a battery that can hold from 50 kWh to 75 kWh of stored energy. (1 kWh = 1000 W x 3600 sec = 1000 J/sec x 3600 sec = 3,600,000 J). 1) How much energy is 1 kWh compared to the energy released when burning 1 gallon of gasoline? A Tesla has a range of about 300 to 400 miles on a full battery. So let us assume that a Tesla with a 50 kWh battery can go 300 miles. Also assume that 1 kWh cost 25 cents to produce. 2) Calculate how much it costs to drive a Tesla 40 miles 3) Calculate how much gas (in gallons) you can buy with the cost of driving a Tesla 40 miles (the results will most likely be a fraction of a gallon) 4) Calculate the advertised "gas mileage" of a Tesla. (for example if the cost of driving a tesla 40 miles is $2.50 and a gallon of gas costs $5 then a Tesla can drive 40 miles on a "half gallon of gas", and therefore gets 80 miles on "a gallon of gas"). 5) To get the "equivalent gas mileage" for a Tesla we need to %3D determine the amount of energy used by the car to cover a given distance and compare that to the energy in a gallon of gas. Thus if a Tesla can cover 300 miles with 50 kWh of then the Tesla can cover 6 miles with 1 kWh of energy, energy. By equating the energy of 1 gal of gas (120 million Joules) to the energy of 1 kWh, convert 6 miles per kWh into miles per gallon. (That is another method to come up with the advertised "gas mileage" of a Tesla). 6) The transmission of battery energy to car motion in an electric car is fairly efficient, but the inefficiency of the power plant energy production is ignored. The efficiency of a power plant is about 35%. To get the true "gas mileage equivalent" of a Tesla we must take the results calculated in part 5 and multiply it by the 35 % efficiency. Compare your results with a gasoline car that gets 40 miles to the gallon.
A Tesla car has a battery that can hold from 50 kWh to 75 kWh of stored energy. (1 kWh = 1000 W x 3600 sec = 1000 J/sec x 3600 sec = 3,600,000 J). 1) How much energy is 1 kWh compared to the energy released when burning 1 gallon of gasoline? A Tesla has a range of about 300 to 400 miles on a full battery. So let us assume that a Tesla with a 50 kWh battery can go 300 miles. Also assume that 1 kWh cost 25 cents to produce. 2) Calculate how much it costs to drive a Tesla 40 miles 3) Calculate how much gas (in gallons) you can buy with the cost of driving a Tesla 40 miles (the results will most likely be a fraction of a gallon) 4) Calculate the advertised "gas mileage" of a Tesla. (for example if the cost of driving a tesla 40 miles is $2.50 and a gallon of gas costs $5 then a Tesla can drive 40 miles on a "half gallon of gas", and therefore gets 80 miles on "a gallon of gas"). 5) To get the "equivalent gas mileage" for a Tesla we need to %3D determine the amount of energy used by the car to cover a given distance and compare that to the energy in a gallon of gas. Thus if a Tesla can cover 300 miles with 50 kWh of then the Tesla can cover 6 miles with 1 kWh of energy, energy. By equating the energy of 1 gal of gas (120 million Joules) to the energy of 1 kWh, convert 6 miles per kWh into miles per gallon. (That is another method to come up with the advertised "gas mileage" of a Tesla). 6) The transmission of battery energy to car motion in an electric car is fairly efficient, but the inefficiency of the power plant energy production is ignored. The efficiency of a power plant is about 35%. To get the true "gas mileage equivalent" of a Tesla we must take the results calculated in part 5 and multiply it by the 35 % efficiency. Compare your results with a gasoline car that gets 40 miles to the gallon.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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