Motion and Measurement of Distances

Story of Transport

Early Days of Transport:

  • No Transport: People walked and carried goods themselves.
  • Using Animals: Later, animals helped in carrying goods and people.
  • Boats:
    • Initially, boats were simple logs with hollow spaces.
    • Later, boats were made from assembled wood pieces, mimicking fish shapes.

Invention of the Wheel:

  • Impact: Huge change in transportation.
  • Animal-Drawn Carts: Wheels improved over thousands of years.

19th Century and Steam Engines:

  • Before Steam Engines: People used animals, boats, and ships.
  • Steam Engine Invention: Led to railroads and steam-driven vehicles.

Modern Developments:

  • Automobiles: Cars, trucks, and buses appeared.
  • Motorized Boats and Ships: Enhanced water transport.
  • Aeroplanes:
    • Early 1900s: Development began.
    • Improved to carry passengers and goods.
  • 20th Century Innovations:
    • Electric trains.
    • Monorails.
    • Supersonic planes.
    • Spacecraft.

How Wide is This Desk?

Importance of Measuring Distances:

  • We need to know distances to decide how to travel (walk, bus, rickshaw).
  • Measuring objects helps in everyday tasks.

Classroom Example:

  • Paheli and Boojho share a desk and argue about space.
  • They decide to measure the desk to divide it equally.

Using Gilli and Danda:

  • First Attempt: Desk measured as two danda lengths and two gilli lengths.
  • Second Attempt: New gilli and danda set measured differently, causing confusion.

Alternative Methods:

  • Use a string marked with lengths (1/2, 1/4, 1/8) to measure the desk.
  • Best solution: Use a scale from the geometry box.

Historical Measuring Methods:

  • Before standard scales, different methods were used to measure distances.

Real-Life Measurement Examples:

  • Tailor: Measures cloth length.
  • Carpenter: Measures cupboard dimensions.
  • Farmer: Measures land area for seeding and watering.

Questions about Distance:

  • How tall are you?
  • How long is this room?
  • How wide is this desk?
  • Distance from Delhi to Lucknow?
  • Distance from Earth to the Moon?

Understanding Distance:

  • Distance is the space between two places.
  • Places can be close (ends of a table) or far apart (Jammu to Kanyakumari).

Practical Measurement:

  • Let’s practice measuring distances and lengths to understand better!

Some Measurements

Activity 1: Measuring with Foot Length (click here)

  • Work in groups and measure the classroom’s length and breadth using your foot as a unit.
  • If a part is smaller than your foot, use a string to measure it.
  • Record observations in Table 7.1.

Activity 2: Measuring with Handspan

  • Measure the width of a table or desk using your handspan.
  • Use string lengths and fractions to measure smaller parts.
  • Record observations in Table 7.2.

Understanding Measurement:

  • Measurement = Comparing an unknown quantity with a known unit.
  • Example: “12 foot lengths” means 12 is the number, and “foot length” is the unit.

Observations:

  • Measurements using foot or handspan can differ from person to person.
  • Standard units of measurement are needed to avoid confusion.

Standard Units of Measurements

Ancient Units:

  • Foot length, finger width, and step distance were common.
  • Indus valley civilization had accurate measurements.
  • Cubit (elbow to fingertip) used in Egypt and other places.
  • Yard (distance from outstretched arm to chin) and Roman pace also used.
  • In ancient India: angul (finger) and mutthi (fist).

Problems with Ancient Units:

  • Different body parts vary in size, causing confusion.

Metric System:

  • Created by the French in 1790 for uniformity.
  • International System of Units (SI) is now used globally.
  • SI Unit of Length: Metre (m).
    • 1 m = 100 cm
    • 1 cm = 10 mm
    • 1 km = 1000 m

Using Standard Units:

  • Repeat measurements with standard scales.
  • Learn the correct way to measure lengths and distances.

Correct Measurement of Length

Using Different Measuring Devices:

  • Metre Scale: Common for measuring length.
  • Tailor’s Tape: Used by tailors.
  • Metre Rod: Used by cloth merchants.
  • Measuring Tape: Best for measuring round objects like a tree or chest.
  • 15 cm Scale: Good for small objects like a pencil.

Steps for Accurate Measurement:

  1. Place the Scale Correctly:
    • Scale should be in contact with the object along its length (Fig. 7.7).
  2. Handling Broken Scales:
    • If zero mark is unclear, use another mark (e.g., 1.0 cm).
    • Subtract the starting mark from the ending mark to get the length (Fig. 7.8).
  3. Correct Eye Position:
    • Eye should be directly in front of the point being measured (Fig. 7.9).
    • Incorrect eye position can lead to wrong readings.

Activity 3: Measuring Height

  • Steps:
    • Measure classmate’s height with handspan and metre scale.
    • Mark the wall above the head, measure from floor to mark.
    • Compare measurements from different students.
  • Observation:
    • Handspan measurements vary.
    • Metre scale measurements are similar but not exactly the same.
    • Small errors in observations can cause differences.

Measuring the Length of a Curved Line

Measuring with a Thread:

Activity 4:

  • Use a thread to measure the curved line AB (Fig. 7.10).
  • Place a knot at point A.
  • Stretch the thread along the line, marking the endpoint B.
  • Measure the thread length from the knot to the mark using a metre scale.

Key Takeaways:

  • Accuracy: Care is needed to measure distances correctly.
  • Standard Units: Using standard units helps convey results accurately to others.

Moving Things Around Us

Activity 5: Observing Objects

  • Task: Think of objects you’ve seen recently.
  • Examples:
    • School bag
    • Mosquito
    • Table
    • People (sitting or moving)
    • Butterfly
    • Dog
    • Cow
    • Hands
    • Small baby
    • Fish in water
    • House
    • Factory
    • Piece of stone
    • Horse
    • Ball
    • Bat
    • Moving train
    • Sewing machine
    • Wall clock
    • Hands of a clock

Categorizing Objects: Motion or Rest

Activity:

Decide which objects are moving and which are at rest.

Observation:

  • Moving objects change their place (e.g., bird, ant).
  • Resting objects stay in the same place (e.g., table).

Activity 6: Observing Ants

  • Task:
    • Find a place with ants.
    • Spread a large sheet of white paper and put some sugar on it.
    • Mark the position of an ant with a pencil as it moves.
    • Connect the marks with arrows to show the ant’s path.
  • Observation: The ant changes its position over time.

Understanding Motion

  • Definition: Motion is a change in the position of an object with time.
  • Examples of Objects:
    • Clock: Hands move but the clock stays in place.
    • Sewing Machine: Needle moves but the machine stays in place.
    • Electric Fan: Blades move but the fan stays in place.
  • Comparison:
    • Ant or train moves from one place to another.
    • Blades of a fan or hands of a clock move in a fixed pattern.

Conclusion

  • Objects can be in motion or at rest.
  • Motion involves changing position over time.
  • Some objects have parts that move even if the object itself does not move from place to place.

Types of Motion

1. Rectilinear Motion

  • Definition: Motion along a straight line.
  • Examples:
    • Vehicle on a straight road.
    • Soldiers marching in a parade.
    • Stone falling.
    • Sprinters in a 100-metre race.

2. Circular Motion

Activity 7: Circular Motion

  • Task:
    • Tie a thread to a stone and whirl it with your hand.
    • Observe the stone moving in a circular path.
  • Observation:
    • Distance from your hand remains the same.
  • Examples:
    • Point on the blade of a fan.
    • Hands of a clock.

    3. Periodic Motion

    • Definition: Motion that repeats after a fixed interval of time.
    • Examples:
      • Branch of a tree moving to and fro.
      • Child on a swing.
      • Guitar strings.
      • Drum (tabla) membrane.
      • Needle of a sewing machine moving up and down.

    Activity:

    Make a pendulum by tying a stone to a string and letting it swing.

    Combination of Motions

    • Example:
      • Ball rolling on the ground (rectilinear and rotational motion).
    • Observation:
      • Ball moves forward and rotates.

    Understanding Motion

    • Motion: Change in the position of an object with time.
    • Examples of Motion Around Us:
      • Snail moving on the ground.
      • Butterfly flitting from flower to flower.
      • River flowing.
      • Aeroplane flying.
      • Moon going around the Earth.
      • Blood flowing inside our bodies.

    Key Points

    • Motion can be determined by measuring distance.
    • Different objects can show different types of motion.

    Chapter Summary:

    • Different modes of transport are used to go from one place to another.
    • In ancient times, people used:
      • Length of a foot
      • Width of a finger
      • Distance of a step
    • This caused confusion and led to the need for a uniform system of measurement.
    • Now, we use the International System of Units (SI units).
    • SI units are accepted all over the world.
    • The metre is the unit of length in the SI system.
    • Motion in a straight line is called rectilinear motion.
    • In circular motion, an object moves so that its distance from a fixed point remains the same.
    • Motion that repeats itself after some period of time is called periodic motion.

    Keywords

    Serial No.KeywordsSerial No.Keywords
    1Circular motion6Rectilinear motion
    2Distance7SI units
    3Measurement8Units of measurement
    4Motion
    5Periodic motion
    Keywords
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