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Questions and Answers
Classify the given physical quantities as base (fundamental) and derived quantities:
Classify the given physical quantities as base (fundamental) and derived quantities:
Mass = Base (Fundamental) Area = Derived Density = Derived Time = Base (Fundamental) Acceleration = Derived Distance = Base (Fundamental) Temperature = Base (Fundamental) Volume = Derived Velocity = Derived
What is the SI unit for Mass?
What is the SI unit for Mass?
kg
What is the SI unit for Area?
What is the SI unit for Area?
m^2
What is the SI unit for Density?
What is the SI unit for Density?
What is the SI unit for Time?
What is the SI unit for Time?
What is the SI unit for Acceleration?
What is the SI unit for Acceleration?
What is the SI unit for Distance?
What is the SI unit for Distance?
What is the SI unit for Temperature?
What is the SI unit for Temperature?
What is the equivalent of 67000 tons in kilograms?
What is the equivalent of 67000 tons in kilograms?
Convert the average distance of 245 km into meters.
Convert the average distance of 245 km into meters.
Convert 245 km into centimeters.
Convert 245 km into centimeters.
Convert 245 km into millimeters.
Convert 245 km into millimeters.
How many days are in one year (approximately)?
How many days are in one year (approximately)?
Convert your age in years into seconds.
Convert your age in years into seconds.
What is the volume of a cylinder in cm^3 if it is 6.5 m^3?
What is the volume of a cylinder in cm^3 if it is 6.5 m^3?
Convert the density of diesel, 880 kg/m^3, into g/cm^3.
Convert the density of diesel, 880 kg/m^3, into g/cm^3.
Convert the density of sea water, 1.03 g/cm^3, into kg/m^3.
Convert the density of sea water, 1.03 g/cm^3, into kg/m^3.
How many seconds are there in one year?
How many seconds are there in one year?
How many years are there in one second?
How many years are there in one second?
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Study Notes
Physical Quantities Classification
- Base (Fundamental) Quantities include: Mass, Time, Distance, Temperature.
- Derived Quantities include: Area, Density, Acceleration, Volume, Velocity.
SI Units of Physical Quantities
- Mass: SI unit is kg; Other units include g, mg, cg, µg, ng, ton.
- Area: SI unit is m²; Other units include cm², mm², km², mile², ft², in².
- Density: SI unit is kg/m³; Other units include g/cm³, g/ml, kg/ml, kg/L.
- Time: SI unit is s; Other units include hour, minute, month, year.
- Acceleration: SI unit is m/s²; Other units include cm/s², km/s².
- Distance: SI unit is m; Other units include km, cm, mm, µm, nm, ft, in, mile.
- Temperature: SI unit is K; Other units include °C, °F.
Unit Conversions
- Average mass of a ship: 67,000 tons = 67,000,000 kg = 6.7 x 10⁷ kg.
- Distance from Sohar port to Sultan Qaboos Port Muscat: 245 km = 245,000 m = 2.45 x 10⁵ m; 24,500 cm = 2.45 x 10⁶ cm; 245,000 mm = 2.45 x 10⁸ mm.
Age Conversion
- Age expressed in approximate units (convert based on personal age):
- Days: Age in years × 365 = scientific notation format.
- Seconds: Days × 86,400 = scientific notation format.
- Milliseconds: Seconds × 1,000 = scientific notation format.
- Microseconds: Milliseconds × 1,000 = scientific notation format.
Earth Measurements
- Distance from Earth’s center to surface: 6,400 km = 6,400,000 m = 6.4 x 10⁶ m; 640,000,000 cm = 6.4 x 10⁸ cm; 6,400,000,000 mm = 6.4 x 10⁹ mm.
Area Conversion
- Area of rectangular iron sheet: 25 m² = 250,000 cm² = 2.5 x 10⁵ cm².
Volume Conversion
- Volume of cylinder: 6.5 m³ = 6,500,000 cm³ = 6.5 x 10⁶ cm³.
- Volume of engine oil: 65,385 cm³ = 0.065385 m³ = 6.5385 x 10⁻² m³.
Scientific Notation and Prefixes
- Following conversions for identified physical quantities require completion in scientific notation:
- 3,500 g = 3.5 x 10³ g.
- 6,400,000 Pa = 6.4 x 10⁶ Pa.
- 745,000 N = 7.45 x 10⁵ N.
- 8,900,000,000 Hz = 8.9 x 10⁹ Hz.
Density Conversion
- Density of diesel: 880 kg/m³ = 0.88 g/cm³ via conversion.
- Density of seawater: 1.03 g/cm³ = 1,030 kg/m³ via conversion.
Time Calculations
- Seconds in a year: 1 year = 31,536,000 seconds = 3.1536 x 10⁷ seconds.
- Years in a second: 1 second = approximately 3.1688 x 10⁻⁸ years.
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