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Derived quantity, Meaning (SPM Physics)

A physical quantity obtained by combining base quantities through multiplication or division, such as speed or density.

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EnglishDerived quantity
Bahasa MelayuKuantiti terbitan
中文导出物理量

Definition

A physical quantity obtained by combining base quantities through multiplication or division, such as speed or density.

Measurement

In exam terms

A derived quantity is a physical quantity obtained by combining base quantities through multiplication or division. Its unit, a derived unit, is a combination of base units.

For example, speed = distance ÷ time, so its unit is m ÷ s = m s⁻¹. Density = mass ÷ volume gives kg m⁻³.

Some derived units are given special names: force in newton (N), where 1 N = 1 kg m s⁻². A correct sentence: Density is a derived quantity because it is defined as mass per unit volume.

Do not confuse it with base quantity

Do not confuse a derived quantity with a base quantity. A base quantity (length, mass, time, current, temperature) cannot be broken down further, while a derived quantity is always built from base quantities.

In Paper 2, a common task is express the derived unit of a quantity in terms of SI base units. For example, the pascal: pressure = force ÷ area = kg m s⁻² ÷ m² = kg m⁻¹ s⁻².

Show the base-unit working clearly to earn full marks.

Source: DSKP KSSM Physics Form 4 and 5 (Versi English) (Bahagian Pembangunan Kurikulum (BPK), KPM)

Frequently asked questions

How do I express a derived unit in base units?
Start from the defining equation, replace each quantity with its base unit, then simplify. For force, F = ma gives kg × m s⁻² = kg m s⁻², which is the newton.
Are all derived units combinations of symbols like m s⁻¹?
Not always. Many have special names, such as newton (N), pascal (Pa) and joule (J), but each can still be rewritten in SI base units.
Is area a derived quantity?
Yes. Area = length × length, so its unit is m × m = m², a combination of base units, which makes it a derived quantity.

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