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10TH GRADE · SI AND MAGNITUDE SCALES

SI units and conversion

Basic units and conversions of length, area, volume, mass and time.

14 minutes20 theory cards
Open interactive lesson

LESSON MATERIAL

Basic Concepts

2

International system of units

A consistent system of units for recording physical quantities through seven basic units and their derivatives.

SI is a common language of measurements: writing in standard units allows you to immediately substitute data into formulas and compare results.

Unit conversion

Replacing a unit of measurement with an equal value in another unit without changing the physical value.

For example, 1 m and 100 cm describe the same length. The number and unit change, but the physical quantity itself remains the same.

LESSON MATERIAL

Physical quantities

9

Path

SS

The length of the trajectory traversed by the body.

Unit: meter · m\mathrm{m}

Length

ll

Linear size of a body or area of space.

Unit: meter · m\mathrm{m}

Time

tt

Duration of movement or process.

Unit: second · s\mathrm{s}

Height

hh

Vertical distance between levels.

Unit: meter · m\mathrm{m}

Weight

mm

A measure of the inertia of a body.

Unit: kilogram · kg\mathrm{kg}

Area

SS

The size of the surface on which the force acts.

Unit: square meter · m2\mathrm{m}^2

Volume

VV

The space occupied by a body or substance.

Unit: cubic meter · m3\mathrm{m}^3

Current strength

II

Charge passing through a cross-section of a conductor per unit time.

Unit: ampere · A\mathrm{A}

Wavelength

λ\lambda

The distance between the nearest points of a wave in the same phase.

Unit: meter · m\mathrm{m}

LESSON MATERIAL

Lesson formulas

9

SI Basic Mechanical Units

m [kg],S,l,h,λ [m],t [s],I [A]m\,[\mathrm{kg}],\quad S,l,h,\lambda\,[\mathrm{m}],\quad t\,[\mathrm{s}],\quad I\,[\mathrm{A}]

Mass is expressed in kilograms, length in meters, time in seconds, current in amperes.

Gram to kilograms

1 g=0,001 kg=10−3 kg1\,\mathrm{g}=0{,}001\,\mathrm{kg}=10^{-3}\,\mathrm{kg}

One gram is equal to one thousandth of a kilogram.

Centimeter to meters

1 sm=0,01 m=10−2 m1\,\mathrm{sm}=0{,}01\,\mathrm{m}=10^{-2}\,\mathrm{m}

One centimeter is equal to one hundredth of a meter.

Millimeter to meters

1 mm=0,001 m=10−3 m1\,\mathrm{mm}=0{,}001\,\mathrm{m}=10^{-3}\,\mathrm{m}

One millimeter is equal to one thousandth of a meter.

Square centimeter

1 sm2=10−4 m21\,\mathrm{sm}^2=10^{-4}\,\mathrm{m}^2

One square centimeter is equal to one ten-thousandth of a square meter.

Square millimeter

1 mm2=10−6 m21\,\mathrm{mm}^2=10^{-6}\,\mathrm{m}^2

One square millimeter is equal to one millionth of a square meter.

Cubic centimeter

1 sm3=10−6 m31\,\mathrm{sm}^3=10^{-6}\,\mathrm{m}^3

One cubic centimeter is equal to one millionth of a cubic meter.

Liter to cubic meters

1 l=10−3 m31\,\mathrm{l}=10^{-3}\,\mathrm{m}^3

One liter is equal to one thousandth of a cubic meter.

Hour in seconds

1 ch=3600 s1\,\mathrm{ch}=3600\,\mathrm{s}

One hour contains three thousand six hundred seconds.

DIRECTORY

Related formulas

Timet, τ · withHeight and depthh · mWavelengthλ · mWeightm · kgDistance and pathS, l · mCurrent strengthI · A