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Class 6th Chapters
1. Food: Where Does It Come From? 2. Components Of Food 3. Fibre To Fabric
4. Sorting Materials Into Groups 5. Separation Of Substances 6. Changes Around Us
7. Getting To Know Plants 8. Body Movements 9. The Living Organisms — Characteristics And Habitats
10. Motion And Measurement Of Distances 11. Light, Shadows And Reflections 12. Electricity And Circuits
13. Fun With Magnets 14. Water 15. Air Around Us
16. Garbage In, Garbage Out



Chapter 10 Motion And Measurement Of Distances



The Story of Transport

The history of transport is a fascinating story of human innovation, detailing how we conquered distance over time. From simple foot travel to complex spacecraft, the means of transport have evolved dramatically, shaping civilizations and connecting the world.


Ancient Modes of Transport

In ancient times, people had no sophisticated means of transport. They relied on the most basic methods:


The Revolution of the Wheel and Engine

Two major inventions completely transformed the modes of transport.

1. Invention of the Wheel:

The invention of the wheel was a monumental leap. Over thousands of years, the design of the wheel was improved, and animals were used to pull carts that moved on wheels, making land transport much easier and more efficient.

2. Invention of the Steam Engine:

Until the beginning of the 19th century, people still depended heavily on animal power. The invention of the steam engine in the 19th century led to the development of new, powerful means of transport. This included steam engine-driven carriages and wagons that ran on railroads.


Modern Means of Transport

Following the steam engine, the pace of innovation accelerated, especially in the 20th century.

A collage of different means of transportation including a bus, an aeroplane, a ship, a train, and a bullock cart.


The Need for Measurement

It is often important to know how far a place is or how long an object is. This knowledge, called measurement, helps us make decisions in our daily lives. For example, we need to know the distance to school to decide whether to walk or take a bus. A tailor needs to measure cloth, and a carpenter needs to measure wood.

Measurement is essentially the comparison of an unknown quantity with a known, fixed quantity. This known, fixed quantity is called a unit. The result of a measurement is always expressed in two parts: a number and a unit (e.g., 12 foot lengths).


The Problem with Non-Standard Units

Before the development of standard scales, people used various non-standard units for measurement. The story of Paheli and Boojho illustrates the problem with such methods.

The Gilli Danda Measurement Story

Paheli and Boojho decided to measure their shared desk to divide it equally. They used a set of gilli and danda for this.

This created a problem because the length of the gilli and danda in the new set was different from the old one. This highlights the core issue with non-standard units: they are not consistent and can vary from person to person or from one object to another.

A desk being measured with a gilli and danda, showing how non-standard units can be used for measurement.

Similarly, using body parts like a foot or a handspan for measurement leads to confusion because the size of these body parts is different for different people. If one person measures a room as 12 foot lengths and another measures it as 14 foot lengths, it is impossible to know the actual size without a common reference.

This confusion created the need for standard units of measurement that do not change from person to person and are uniform everywhere.



Standard Units of Measurement

To overcome the confusion caused by non-standard units, a uniform system of measurement was developed.


Historical Non-Standard Units

Throughout history, people used parts of the body for measurement. These units were convenient but inconsistent.


The Metric System and SI Units

In 1790, for the sake of uniformity, the French created a standard unit of measurement called the metric system. This system was eventually adopted and refined by scientists worldwide.

The system of units now used globally is known as the International System of Units (SI units). Using SI units ensures that a measurement of a certain length, say one metre, means the same thing in India, France, or any other country.

SI Unit of Length

The SI unit of length is the metre (m).

For convenience, the metre is divided into smaller units or multiplied to form larger units.

The standard conversions are:

$ 1 \text{ metre (m)} = 100 \text{ centimetres (cm)} $

$ 1 \text{ centimetre (cm)} = 10 \text{ millimetres (mm)} $

$ 1 \text{ kilometre (km)} = 1000 \text{ metres (m)} $

A long metre scale and a smaller 15 cm scale used in a geometry box.


Correct Measurement of Length and Curved Lines

Using a standard unit is only the first step. To get an accurate measurement, we must also use the measuring device correctly.


Precautions for Correct Measurement of Length

When using a scale to measure length, we need to take care of the following:

  1. Placement of the Scale: The scale should be placed in contact with the object, exactly along the length that is being measured.
  2. Reading from a Broken Scale: If the zero mark of a scale is unclear or its end is broken, you should not start the measurement from the zero mark. Instead, start from another full mark (e.g., 1.0 cm). Then, you must subtract this starting reading from the final reading to get the correct length.

    Example: If the starting reading is 1.0 cm and the final reading is 14.3 cm, the length is $ (14.3 - 1.0) \text{ cm} = 13.3 \text{ cm} $.

  3. Correct Eye Position: Your eye must be positioned exactly vertically above the mark where the measurement is being taken. Looking at the mark from the side (from position 'A' or 'C') can cause an error in reading, known as parallax error. The correct position is 'B'.
An eye positioned at different angles to a scale. Position B, directly above the mark, is correct, while positions A and C are incorrect.

Measuring the Length of a Curved Line

We cannot measure the length of a curved line directly with a straight metre scale. For this, we can use a thread.

The Thread Method

  1. Tie a knot at one end of the thread.
  2. Place the knot at the starting point (A) of the curved line.
  3. Carefully place the thread along the curved line, keeping it taut. Use your thumb and fingers to hold it in place as you move along the curve.
  4. Continue until you reach the end point (B) of the line. Make a mark on the thread at this point.
  5. Now, stretch the thread out straight along a metre scale.
  6. Measure the length between the starting knot and the final mark on the thread. This length gives the length of the curved line.
A thread being laid along a curved line to measure its length.


Motion and its Types

In our surroundings, we see some objects that are stationary and others that are moving. This observation helps us understand the concepts of rest and motion.


Rest and Motion

An object is said to be in motion if its position changes with time. For example, a flying bird or a moving train. An object is said to be at rest if its position does not change with time. For example, a house or a table.

Sometimes, an object at rest can have parts that are in motion. For example, a wall clock is at rest, but its hands are in motion. An electric fan is at rest, but its blades are in motion.


Types of Motion

Motion can be classified into different types based on the path taken by the object.

1. Rectilinear Motion

When an object moves along a straight line, its motion is called rectilinear motion.

Examples: The motion of a vehicle on a straight road, the march-past of soldiers in a parade, a sprinter in a 100-metre race, a stone falling from a height.

Soldiers marching in a straight line during a parade, which is an example of rectilinear motion.

2. Circular Motion

When an object moves along a circular path, its motion is called circular motion. In this motion, the distance of the object from a fixed central point remains the same.

Examples: The motion of a point marked on the blade of a rotating fan, the motion of the hands of a clock, a stone tied to a thread and whirled around.

A ceiling fan and a clock, where the blades and hands show circular motion.

3. Periodic Motion

When an object or a part of it repeats its motion after a fixed interval of time, its motion is called periodic motion.

Examples: The motion of a pendulum, a child on a swing, the strings of a guitar when plucked, the membrane of a tabla being played, the up-and-down movement of a sewing machine needle.

A collage of examples of periodic motion: a child on a swing, a pendulum, and a bell ringing.

Combination of Motions

An object can often exhibit more than one type of motion at the same time.

Example: A ball rolling on the ground. The ball is moving forward along the ground, which is rectilinear motion. At the same time, it is also rotating about its axis, which is rotational motion (a type of circular motion).

Understanding these different types of motion helps us describe the complex movements we see everywhere around us.



Exercises



Question 1. Give two examples each, of modes of transport used on land, water and air.

Answer:

Question 2. Fill in the blanks:

(i) One metre is ______________ cm.

(ii) Five kilometre is ______________ m.

(iii)Motion of a child on a swing is ______________.

(iv) Motion of the needle of a sewing machine is ______________.

(v) Motion of wheel of a bicycle is______________.

Answer:

Question 3. Why can a pace or a footstep not be used as a standard unit of length?

Answer:

Question 4. Arrange the following lengths in their increasing magnitude:

1 metre, 1 centimetre, 1 kilometre,1 millimetre.

Answer:

Question 5. The height of a person is 1.65 m. Express it into cm and mm.

Answer:

Question 6. The distance between Radha's home and her school is 3250 m. Express this distance into km.

Answer:

Question 7. While measuring the length of a knitting needle, the reading of the scale at one end is 3.0 cm and at the other end is 33.1 cm. What is the length of the needle?

Answer:

Question 8. Write the similarities and differences between the motion of a bicycle and a ceiling fan that has been switched on.

Answer:

Question 9. Why would you not like to use a measuring tape made of an elastic material like rubber to measure distance? What would be some of the problems you would meet in telling someone about a distance you measured with such a tape?

Answer:

Question 10. Give two examples of periodic motion.

Answer: