Rainbow Mind Map
Physical Quantities and Measurement
- 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
- 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.
- 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:
- Measure mass using a balance
- Calculate volume using appropriate formula
- Divide mass by volume
Density determines whether objects float or sink in fluids.
- 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:
- Measure the distance traveled (in meters)
- Measure the time taken (in seconds)
- Divide distance by time
Speed is a scalar quantity (has magnitude but no direction).
- 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.
- 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.
- 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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