🌈 Rainbow Mind Map: Physical Quantities & Measurement

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Rainbow Mind Map: Physical Quantities and Measurement

Rainbow Mind Map

Physical Quantities and Measurement

Physical Quantities and Measurement
Measurement of Volume (3D Concept)
  • Definition of volume
  • Units of measurement (m³, cm³, L)
  • Methods for regular solids
  • Displacement method for irregular solids

Volume is the quantity of three-dimensional space enclosed by a closed surface.

Volume of cube = side × side × side

Volume of cylinder = Ï€ × radius² × height

For irregular objects, water displacement method is used:

Volume = Final water level - Initial water level

Measurement of Area
  • Definition of area
  • Units of measurement (m², cm²)
  • Regular shapes formulas
  • Counting squares method

Area is the quantity that expresses the extent of a two-dimensional figure.

Area of rectangle = length × width

Area of triangle = ½ × base × height

Area of circle = Ï€ × radius²

For irregular shapes, the counting squares method can be used by overlaying a grid.

Measurement of Density
  • Definition of density
  • Formula and units (kg/m³, g/cm³)
  • Regular solids method
  • Applications in real life

Density is a measurement that compares the amount of matter an object has to its volume.

Density = Mass / Volume

To measure density of a regular solid:

  1. Measure mass using a balance
  2. Calculate volume using appropriate formula
  3. Divide mass by volume

Density determines whether objects float or sink in fluids.

Calculation of Speed
  • Definition of speed
  • Units of measurement (m/s, km/h)
  • Average vs instantaneous speed
  • Practical measurement methods

Speed is a measure of how fast an object is moving.

Speed = Distance / Time

To measure speed:

  1. Measure the distance traveled (in meters)
  2. Measure the time taken (in seconds)
  3. Divide distance by time

Speed is a scalar quantity (has magnitude but no direction).

Measurement of Mass
  • Definition of mass
  • Units (kg, g, mg)
  • Instruments (beam balance, electronic balance)
  • Difference between mass and weight

Mass is the amount of matter in an object. It is constant and does not change with location.

1 kg = 1000 g

Common instruments include:

  • Beam Balance (for comparison)
  • Electronic Balance (for quick digital measurement)

Mass differs from weight, which depends on gravity.

Measurement of Time
  • Definition and importance of time
  • Units (seconds, minutes, hours)
  • Instruments (stopwatch, clock)
  • Accurate time measurement techniques

Time is a fundamental quantity that helps us sequence events and compare durations.

1 hour = 60 minutes = 3600 seconds

Measurement tools include:

  • Stopwatch (used in experiments)
  • Atomic clock (high precision)

Time accuracy is critical in physics, especially in motion and oscillation studies.

Measurement of Temperature
  • Definition of temperature
  • Units (°C, °F, K)
  • Thermometers (clinical, laboratory)
  • Fixed points: Ice and steam points

Temperature indicates how hot or cold an object is, related to the average kinetic energy of particles.

°C = (°F - 32) × 5/9

Thermometers types:

  • Clinical Thermometer (for body temp)
  • Laboratory Thermometer (for experiments)

Standard fixed points:

Ice point = 0°C, Steam point = 100°C

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