Study Guides/Physics/SI Units — Acceleration, Distance, Heat, Speed, Velocity, Weight
Study Guide · Physics

SI Units of Physical Quantities — Complete List

The International System of Units (SI) provides standard units for measuring physical quantities. These units are used universally in science and engineering. Below are the SI units for key physical quantities — acceleration, distance, heat, speed, velocity, and weight — which are commonly asked in Class 9–12 Physics examinations.

Question (Click to Flip)

What is the SI unit of acceleration?

Answer

The SI unit of acceleration is metre per second squared (m/s² or m·s⁻²). Acceleration is the rate of change of velocity. Formula: a = (v–u)/t. Example: g = 9.8 m/s² (acceleration due to gravity).

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Key Facts

SI unit of acceleration = m/s² (metre per second squared).

SI unit of distance = metre (m).

SI unit of speed = m/s (metre per second).

SI unit of velocity = m/s (metre per second) — same as speed.

SI unit of heat = joule (J) — heat is a form of energy.

SI unit of weight = newton (N) — weight is a force (W = mg), not mass.

Mass is in kilograms (kg); weight is in newtons (N).

SI Units — Quick Reference Table

Physical Quantity | SI Unit | Symbol Acceleration | Metre per second squared | m/s² or m·s⁻² Distance / Length | Metre | m Speed | Metre per second | m/s or m·s⁻¹ Velocity | Metre per second | m/s or m·s⁻¹ Heat (Energy) | Joule | J Weight (Force) | Newton | N Mass | Kilogram | kg Time | Second | s Temperature | Kelvin | K Pressure | Pascal | Pa

SI Unit of Acceleration

SI unit of acceleration: metre per second squared (m/s² or m·s⁻²)

Definition: Acceleration is the rate of change of velocity with time. Formula: a = (v – u) / t (change in velocity ÷ time)

Derivation: velocity/time = (m/s) / s = m/s²

Examples: • Acceleration due to gravity: g = 9.8 m/s² ≈ 10 m/s² • A car accelerating from 0 to 20 m/s in 4 s → a = 5 m/s²

Other units (non-SI): • cm/s² (CGS unit) • ft/s² (imperial unit)

SI Unit of Distance and Speed/Velocity

SI unit of distance: metre (m) • Distance is a scalar — how much path is covered • Displacement is a vector — straight-line distance from start to end

SI unit of speed: metre per second (m/s) • Speed = Distance / Time = m/s • Speed is a scalar (only magnitude)

SI unit of velocity: metre per second (m/s) • Velocity = Displacement / Time = m/s • Velocity is a vector (magnitude + direction) • Both speed and velocity have the same SI unit (m/s)

Conversions: • 1 km/h = 5/18 m/s • 1 m/s = 18/5 km/h = 3.6 km/h

SI Unit of Heat and Weight

SI unit of heat (energy): Joule (J) • Heat is a form of energy — SI unit = Joule • 1 Joule = 1 Newton × 1 metre = 1 N·m = 1 kg·m²/s² • Other energy units: calorie (1 cal = 4.186 J), kilowatt-hour (kWh) • Specific heat capacity unit: J/(kg·K)

SI unit of weight: Newton (N) • Weight is the gravitational force on a mass: W = mg • It is a force, so its SI unit is Newton (not kilogram) • 1 Newton = 1 kg × 1 m/s² • W = m × g; if m = 1 kg, g = 9.8 m/s², then W = 9.8 N

Common confusion: • Mass (kg) — how much matter is in the object (does not change) • Weight (N) — gravitational force on the object (changes with gravity)

Questions and Answers

What is the SI unit of acceleration?+

The SI unit of acceleration is metre per second squared (m/s² or m·s⁻²). Acceleration is the rate of change of velocity. Formula: a = (v–u)/t. Example: g = 9.8 m/s² (acceleration due to gravity).

What is the SI unit of weight?+

The SI unit of weight is Newton (N). Weight is the gravitational force acting on a mass: W = mg. For a mass of 1 kg, weight = 1 × 9.8 = 9.8 N. Note: Mass is in kilograms (kg), but weight is a force measured in newtons (N).

What is the SI unit of heat?+

The SI unit of heat is joule (J). Heat is a form of energy. 1 joule = 1 N·m = 1 kg·m²/s². Another common unit is calorie (1 cal = 4.186 J). The unit of specific heat is J/(kg·K).

Are SI units of speed and velocity the same?+

Yes. Both speed and velocity have the same SI unit: metre per second (m/s). However, speed is a scalar (only magnitude), while velocity is a vector (magnitude + direction). E.g., speed = 10 m/s; velocity = 10 m/s due North.

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