maths in electric cars - gillett

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MATHS IN ELECTRIC CARS

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Project Jugaad 2014 www.projectjugaad.yolasite.com @Project_jugaad

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MATHSIN ELECTRIC CARS

GROUP G- Gillett.

GROUP MEMBERS-

Lukas Milancius

Muskan Sethi

Ishwani Patel

Kritesha

“It has become appallingly obvious that our

technology has exceeded our humanity.”

-Albert Einstein

Mathematics has a hugely important role in the technology that is all around us and which we take for granted every day; from our mobile phones and laptops to the systems that keep us safe on a plane or the trials which take place to ensure the medicines we need are effective. Maths is everywhere!

“Mathematics is involved in some way in every field of study known to mankind. In fact, it could be argued that mathematics is involved in some way in everything that exists everywhere, or even everything that is imagined to exist in any conceivable reality. Any possible or imagined situation that has any relationship whatsoever to space, time, or thought would also involve mathematics.

Electric CarsElectric cars are just normal cars. Except they do not consume fuel. These cars will prevent the cars from producing carbon dioxide. These cars can also be recharged by solar panels, or charging stations is some places.

How do they connect to Mathematics?

Maths is an integral part of electric cars. They connect to Maths in many ways such as

- The amount of electricity it takes to fully recharge a car

- How long the car will last if you charge within a certain amount of electricity.

- Their Price, Maintenance, Running and Mileage Costs

- The Range and Recharching Time

PURE CALCULATIONS

• . The pressure of the air/fuel mixture in the intake manifold can be calculated based on the ideal gas equation:

• where R is the gas constant, Tm and Vm are the temperature

• and volume of the intake manifold, mthr is the throttle

• mass flow rate, and me is the throttle mass outflow

PURE CALCULATIONS

• The engine speed can be obtained from crank shaft

• speed equation as:

• N=1\JnP

• where J is engine inertia and n is the engine rotational

• speed

More about Electric Cars

● There are different types of electric cars.

● They can be charged up to 20 minutes, but then they do not last as long.

● Electric cars can be very fast.

● They first appeared in the 1880’s.

● They were very popular in the 18th and the 19th century.

WHY USE ELECTRIC CARS?

Why electric vehicles? For all kinds of reasons, from financial to environmental.

Save you money

Tax Credits and Incentives

Better for the Environment

Energy Independence

Future Benefits

BENEFITS OF ELECTRIC CARS

1) They Save you money!

Because they use electricity for all or part of their power, electric vehicles are less costly to run. With a pure battery EV, you can save up to 75 percent per year on a fuel versus a gas-powered car. Charge up at night and save even more with our Time of Use rate.

Miles

per

year

Fuel

effici

ency

Annu

al

fuel

use

Aver

age

fuel

price

Annu

al

fuel

cost

Cents

per

mile

Gas 12,00

0

30

miles

per

gallo

n

400

gallo

ns

$3.50

/gal

$1,40

0

11.5¢

EV 12,00

0

4

miles

per

kWh

3,000

kWhs

10¢/k

Wh

$300 2.5¢

Charge up at night and save with our Time of

Use rate

EV &

TOU

12,00

0

4

miles

per

kWh

3,000

kWhs

7¢/k

Wh

$210 1.75¢

2) Battery electric vehicles also benefit from not having a transmission or combustion engine — eliminating oil changes, fuel filters, emissions testing and other costly maintenance. A simplified drive train and braking system means greater reliability and fewer potential repairs, too.

BENEFITS OF ELECTRIC CARS

3) Since the electric cars do not produce pollution it makes the world a better and a greener place. Having a greener world will make it a lot safer.

BENEFITS OF ELECTRIC CARS

RELATED STATISTICS

Q: What kind of power system would you want if you were

buying a new car? Assume that for each manufacturer the car

spec and price was similar regardless of power system type.

(Sample size=15,382)

RELATED STATISTICS

Q:Would you buy an electric car to take your child to school?

RELATED STATISTICS

This Graph shows the

Carbon Emissions of Electric

Cars’ in various countries

across the world.

RELATED STATISTICS

The graph compares the emissions from petrol cars and electric cars using electricity generated in conventional power stations.

Overall, there are less emissions from electric cars. This could help to reduce global warming and also improve the air quality in our cities.

A 'Eco Points' rating has shown that electric cars would produce only a third of the pollution that petrol cars make.

WHY DON’T PEOPLE BUY ELECTRIC CARS?

Electric cars are economically and socially unsustainable.

A major car manufacturer sold just 1,000 of their electric cars in the three years it was being made. This was after an investment of nearly £100million.

#EVs do, however, face significant battery-related challenges:

Driving range. Most EVs can only go about 100–200 miles before recharging—gasoline vehicles can go over 300 miles before refueling.

Recharge time. Fully recharging the battery pack can take 4 to 8 hours. Even a "quick charge" to 80% capacity can take 30 min.

Battery cost: The large battery packs are expensive and may need to be replaced one or more times.

WHY DON’T PEOPLE BUY ELECTRIC CARS?

Social sustainability is about meeting people's needs.

Electric cars are not as fast as petrol cars. They have a short range before their batteries need to be re-charged (which takes 5-6 hours). Practically, electric cars can only be used for short journeys inside cities.

Petrol cars are faster, easier to re-fuel and generally a lot cheaper than electric cars.

The current technology means that electric cars are not popular.

Manufacturers cannot afford to make them if they will not sell.

Electric Petrol

Acceleration25%

slower

Carbon dioxide 73g/km 217g/km

Range 100 miles 300 miles

Time to 're-fuel' 5 hours 5 minutes

Top speed 60mph 100+mph

Number in use (UK) Negligible 25 million

Electric Cars: Video

Here is a short video about Electric cars;

Thank You!