PROJECT JUGAADMATHS IN GREEN CARS

Ingenious inventors

AIMThe aim of this project was to find and explore the connection of maths with the world of green car technology. Today Group I will provide you with a tour of the areas of mathematics involved and their use in Green car technology.Some examples of the use of maths in Green car technology is the use of angles while adjusting the rear view mirror of the car to see or the use of surface area of the car roof and find the number of solar panels used by dividing the surface area of the roof with the area of

one solar panel. Today’s presentation will help understand that maths and our everyday life is inextricably linked.

INTRODUCTION Bertrand Russell says ,“Mathematics takes us into the region of absolute necessity, to which not only the actual word, but every possible word, must conform.”A green car or environmentally friendly car is a car that produces less harmful impacts to the environment than comparable conventional internal combustion engine cars.

ABOUT GREEN CARSMany people think Green Cars are very different from cars using internal combustion engine. The Green car we are discussing today is a PHEV(plug-in hybrid electric vehicle), which shares the characteristics of both a conventional hybrid electric vehicle, having an electric motor and an internal combustion engine (ICE) and of an all-electric vehicle, with photovoltaic cells on the roof that are connected to the battery . The addition of solar panels not only helps utilize solar energy but also helps in reducing costs of charging the rechargeable battery in the car. You will find that most of the mathematical concepts implying to this car will also imply to cars using ICE.

AREAS OF MATHS INVOLVED• MENSURATION• STATISTICS (CAR

PRODUCTION)• STATISTICS (ENERGY

PRODUCTION)• GEOMETRY (SOLAR PANELS)• GEOMETRY (CAR PARTS)• ANGLES (SOLAR PANELS)• ANGLES (CAR DESIGN)• ANGLES (MIRRORS)• FUNDAMENTAL

OPERATIONS• AVERAGE • RATIO AND PROPORTION

• VOLUMES AND SURFACE AREA

• PROFIT AND LOSS • TIME AND DISTANCE• TIME (TIME FOR CHARGING)

MENSURATION • Mensuration can be defined as the geometry

applied to the computation of lengths, areas, or volumes from given dimensions or angles or the act of measuring or the branch of geometry dealing with measurement of length, area, or volume

MENSURATION IN GREEN CARS• Mensuration plays an important role in Green cars as it help in

determining the number of solar panels through the formula given below.

• Number of solar panels = Area of roof Area of one solar panel• Mensuration is used in the building of the car and play a very important

role in the making of a blueprint/diagram of the car and is used for measuring the components of the car and ensuring that all the components such as the engine etc, fit in the car comfortably and perfectly, in order for the proper functioning of the car.

STATISTICS• Statistics is the study of the collection, organization,

analysis, interpretation and presentation of data especially for the purpose of inferring proportions in a whole from those in a representative sample. Methods of data collection include bar graphs, pie charts etc.

PIE CHART• Pie charts show the relationship between a whole and

its parts. Here the whole circle is divided into sectors. The size of each is proportional to the activity or information it represents. Pie charts are very widely used in the business world and the mass media.

PIE

CHART

PIE

CHART

BAR GRAPHS • A bar chart or bar graph is a chart with rectangular bars with

lengths proportional to the values that they represent. The bars can be plotted vertically or horizontally. A vertical bar chart is sometimes called a column bar chart. 

• Categorical data is a grouping of data into discrete groups, such as months of the year, age group, shoe sizes, and animals. These categories are usually qualitative.

BAR

GRAPHS

B A R G R A P H S

MATHEMATICAL SHAPES • The term shape is commonly used to refer to the

geometric properties of an object or its external boundary (outline, external surface). A shape may be defined as a collection of two or more points, a line , a curve, a plane, a plane figure (e.g. square or circle), or a solid figure (e.g.cube or sphere).

MATHEMATICAL SHAPES IN GREEN CARS

• Some examples of shapes in green cars include:-

SPHERE Tyres of a car

CIRLCLESteering wheel

QUADRILATERAL Solar panels of a green car, for eg. Toyota PriusBonnet of a car , door of a carWindshield and windows of a carNumber plate of a car and its mudflap

ANGLES • The angle measures the amount of turn between the two arms

with a common point of intersection (vertex) and is measured in degrees. Angles that are exactly 90 degrees are called right angles. Angles less than 90 degrees are called as acute angles. Angles that are exactly 180 degrees is called as straight angle. Angles less than 180 degrees yet greater than 90 degrees are called as obtuse angles. Angles more than 180 degrees and less than 360 degrees are called reflex angles.

ANGLES IN GREEN CARS• While inspecting or even during the manufacturing

of the car, it is important to see the car from different perspectives to point our the flaws and inspect the design of different parts of the car. Without realizing it, we are actually using angles to look at the car from different perspectives.

ANGLES IN GREEN CARS• We even use angles while adjusting the mirror. We

adjust the rear view mirror in such a way that we are able to see the cars behind and therefore, unknowingly use the mathematical concept of angles to adjust the rear view mirror or any other mirror in the car.

ANGLES IN GREEN CARS• Another use of angles in green cars is during the

manufacturing of the car. During the manufacturing the solar panels are fit on the roof in such a way that the angles between the panels and the sun is such that the panels can receive maximum light intensity for maximum power generation.

CREDITS

Presentation made By: - Eashan Nakra

3-D Model made by – Hrishav Das

Special thanks to : - Mr. Richard Davies

Ma’am Kamalika

Ms. Suzie Chadwick

THANK YOU