Units convector. Rules and techniques for translating the values ​​of physical quantities into units of "SI. Converting length units

Please use a dot and not a comma to separate tenths!

The converter of units of measurement of physical quantities allows you to convert most of the main units of measurement of physical quantities into each other. To convert, first select the value you would like to convert. Then select the original unit of measure and the unit of measure to which you want to convert. Now, if you enter the value of the unit of measure, its value in the required unit of measure will automatically appear in the "Result" field.

Converter features

Converter of units of measurement of physical quantities allows you to convert units of measurement of the following physical quantities into each other: length, mass, temperature, volume, area, speed, time, pressure, energy and work, angular measures.

Units

Length: millimeter, centimeter, decimeter, meter, kilometer, foot, inch, league, nautical mile, microinch, mile, yard.

Weight: microgram, milligram, centigram, decigram, gram, decagram, hectogram, kilogram, centner, ton, pound, ounce, drachma, grain, centner (England), centner (US), ton (England), ton (US).

Temperature: Celsius (ºC), Fahrenheit (ºF), Rankine (ºRa), Réaumur, Kelvin.

Volume: cubic micrometer, cubic millimeter, cubic centimeter, cubic decimeter, cubic meter, cubic decameter, cubic kilometer, microliter, milliliter, centiliter, decaliter, hectoliter, liter, kiloliter, megaliter, acrofoot, acrofoot (US), barrel (England), barrel (US dry), barrel (US liquid), barrel (US oil), board fct, bucket (England), bucket (US), bushel (England), bushel (US dry), cord (firewood), cord foot (timber) ), cubic cubit (Egypt), cubic foot, cubic inch, cubic mile, cubic yard, drachma, quint, gallon (England), gallon (US dry), gallon (US liquid), hogshead (England), hogshead (US) , ounce (England liquid), ounce (US liquid), pint (England), pint (US dry), pint (US liquid), quart (England), quart (US dry), quart (US liquid), cubic yard.

Square: square millimeter (mm2, mm2), square centimeter (cm2, cm2), square meter (m2, m2), square kilometer (km2, km2), hectare (ha), decare, ar (weave, a, league), barn ( b, b), township, square mile, homestead, acre, rood, square rod, square yard (yd2), square foot (ft2), square inch (in2), square verst, square arshin.

Speed: kilometers per second (km/s, km/s), meters per second (m/s, m/s), kilometers per hour (km/h), meters per minute, miles per second, miles per hour (mph), foot per second, foot per minute, knot, nautical mile per hour, speed of light in a vacuum.

Time: century, year, month, week, day, hour, minute, second.

Pressure: bar, kilopascal (kPa, kPa), hectopascal (hPa, hPa), megapascal (mPa, mPa), millibar, pascal (Pa, Pa), kilogram force per square meter (kgf/m2), newton per square meter (n/ m2), pounds per square inch (psi), pounds per square foot, inch of mercury, millimeter of mercury, centimeter of mercury, physical atmosphere (atm, atm), technical atmosphere (at).

Energy, work: megajoule (mJ, mJ), kilojoule (kJ, kJ), joule (J, J), kilocalorie (kcal), calorie (cal), kilowatt/hour (kW*h, kWh), watt/hour (W* h, W * h), electron volt (eV), kilogram of TNT.

Angle measure: circle (circle), sextant, radian (rad), degree (deg), hail (grad), minute ("), second ("), rhumb.

1. Select the desired category from the list.
2. Enter the value to convert. Basic arithmetic operations such as addition (+), subtraction (-), multiplication (*, x), division (/, :, ÷), exponential (^), brackets, and π (number of pi) are currently supported .
3. Select from the list unit of measure translated value.
4. And finally select unit of measure, to which you want to convert the value.
5. After the result of the operation is displayed, and whenever appropriate, there is an option to round the result to a certain number of decimal places.

Make the most of it calculator units of measurement

With the help of this calculator you can enter the value to be converted along with the original unit of measure, for example, "58 attometer". In this case, you can use either the full name units, or its abbreviationFor example, "attometer" or "am". After entering units, which needs to be converted, calculator defines its category, in this case "Length / Distance". After that, it will convert the entered value to all relevant units that are known to him. In the list of results, you will undoubtedly find the converted value you need. Alternatively, the value to be converted can be entered as follows: "97 am to fm" or "34 am into fm" or "59 attometer -> femtometer" or "11 am = fm" or "30 attometer to fm" or "81 am to femtometer" or "86 attometer how many femtometer". In this case calculator will also immediately understand what unit of measure you need to convert the original value. Whichever one of these options is used, it eliminates the hassle of finding the desired value in long selection lists with countless categories and countless supported units of measurement. It does all this for us. calculator, which copes with its task in a split second.

Mathematical formulas

Besides, calculator allows you to use mathematical formulas. As a result, not only numbers such as "(59 * 59) am" are taken into account. You can even use multiple units of measurement directly in the conversion field. For example, such a combination might look like this: "58 attometer + 174 femtometer" or "69mm x 24cm x 67dm = ? cm^3". United in this way units, of course, must match each other and make sense in a given combination.

Numbers in scientific notation

If you check the box next to the option "Numbers in scientific notation", then the answer will be presented as an exponential function. For example, 7.0728099356374×1031. In this form, the number representation is divided into the exponent, here 31, and the actual number, here 7.072 809 935 637 31. In particular, it makes it easier to see very large and very small numbers. If this cell is not checked, then the result is displayed using the normal notation for numbers. In the example above, it would look like this: 70,728,099,356,374,000,000,000,000,000,000. Regardless of how the result is presented, the maximum precision of this calculator is equal to 14 decimal places. This accuracy should be sufficient for most purposes.

AT exact sciences fractional and multiple decimal prefixes are used for the names of units of measurement. Regardless of the kind of physical quantity, the mathematical meaning of prefixes is constant. The most common prefixes:

1. Units of length

The unit of length in the system of units "SI" is METER.

When solving physical problems, the values ​​of physical quantities presented in other units must be converted to SI units, i.e. in meters.

Unit name	Relationship with SI units		Translation rule
Kilometer	1 km = 1000 m	Thousand meters
Decimeter	1 dm = 0.1 m	One tenth of a meter	Shift decimal point 1 digit to the left
Centimeter	1 cm = 0.01 m	One hundredth of a meter
Millimeter	1 mm = 0.001 m	One thousandth of a meter
Micrometer ("micron")	1 µm = 0.000001 m	One millionth of a meter
nanometer	1 nm = 0.000000001 m	One billionth of a meter

Translation examples:

5 km = 5000 m 674 km = 674000 m 1.76 km = 1760 m 0.06 km = 60 m	7 dm = 0.7 m 600 dm = 60 m 13.52 dm = 1.352 m 0.004 dm = 0.0004 m	3 cm = 0.03 m 565 cm = 5.65 m 6.6 cm = 0.066 m 0.0005 cm = 0.000005 m
8 mm = 0.008 m 78 mm = 0.078 m 7.87 mm = 0.00787 m 0.125 mm = 0.000125 m	9 µm = 0.000009 m 956 µm = 0.000956 m 7.65 µm = 0.00000765 m 0.45 µm = 0.00000045 m	2 nm = 0.000000002 m 65 nm = 0.000000065 m 65.5 nm = 0.0000000655 m 0.012 nm = 0.000000000012 m

2. Mass units

The unit of mass in the SI system of units is the KILOGRAM.

When solving physical problems, the values ​​of physical quantities presented in other units must be converted to SI units, i.e. in kilograms.

Unit name	Relationship with SI units	Share of base unit or number of base units	Translation rule
Ton	1 t = 1000 kg	Thousand kilograms	Move the decimal point 3 places to the right (adding three zeros to the right of an integer)
Centner	1 q = 100 kg	One hundred kilograms	Move the decimal point 2 places to the right (adding two zeros to the right of an integer)
Gram	1 g = 0.001 kg	One hundredth of a kilogram	Move decimal point 3 places to the left
Milligram	1 mg = 0.000001 kg	One millionth of a kilogram	Move decimal point 6 places to the left
microgram	1 µg = 0.000000001 kg	One billionth of a kilogram	Move decimal point 9 places to the left

Translation examples:

6 t = 6000 kg 75 t = 75000 kg 8.6 t = 8600 kg 0.095 t = 95 kg	3 q = 300 kg 674 q = 67400 kg 65.9 q = 6590 kg 0.098 q = 9.8 kg	6 g = 0.006 kg 345 g = 0.345 kg 67.8 g = 0.0678 kg 0.23 g = 0.00023 kg
2 mg = 0.000002 kg 5678 mg = 0.005678 kg 56.7 mg = 0.0000567 kg 0.02 mg = 0.00000002 kg	5 μg = 0.000000005 kg 578.9 μg = 0.0000005789 kg 1.06 μg = 0.00000000106 kg 0.044 μg = 0.000000000044 kg

3. Units of time

The unit of length in the system of units "SI" is the SECOND.

When solving physical problems, the values ​​of physical quantities presented in other units must be converted to SI units, i.e. in seconds.

Unit name	Relationship with SI units	Ratio explanations	Translation rule
Microsecond	1 µs = 0.000001 s	One millionth of a second	Move decimal point 6 places to the left
Millisecond	1 ms = 0.001 s	One thousandth of a second	Move decimal point 3 places to the left
Minute	1 min. = 60 s		Multiply by 60
Hour	1 hour = 3600 s	1 hour = 60 minutes = 60 × 60 s = 3600 s	Multiply by 3600
Day	1 day = 86400 s	1 day = 24 hours = 24 × 3600 s = 86400 s	Multiply by 24 and then by 3600
A week	1 week = 604800 s	1 week = 7 days. = 7 × 24 hours = 168 hours = 168 × 3600 seconds = 604800 seconds	Multiply by 7, then by 24, then by 3600
Month	1 month = 2592000 s	1 month = 30 days = 30 × 24 h = 720 h = 720 × 3600 s = 2592000 s	Multiply by 30, then by 24, then by 3600
Year	1 year = 31536000 s	1 year = 365 days = 365 × 24 h = 8760 h = 8760 × 3600 s = 31536000 s	Multiply by 365, then by 24, then by 3600

Be sure to know by heart only that:

1) 1 minute = 60 seconds

2) 1 hour = 60 minutes = 3600 seconds

3) 1 day = 24 hours

4) 1 week = 7 days

5) 1 month = 30 days

6) 1 year = 365 days

The duration of the month and year are considered "standard". However, if the name of a particular month is indicated when solving the problem, then the real number of days must be taken into account when translating: 28, 29, 30 or 31. The same applies to a leap year.

Translation examples:

65 µs = 0.000065 s 4.06 µs = 0.00000406 s 0.08 µs = 0.00000008 s	10 minutes. = 10 × 60 s = 600 s 45 min. = 45 x 60 s = 2700 s 0.7 min. = 0.7 × 60 = 42 s	6 days = 6 × 24 × 3600 s = 518400 s 0.65 days = 0.65 × 24 × 3600 s = 56160 s 25 weeks = 25 × 7 × 24 × 3600 s = 15120000 s 0.85 weeks = 0.85 × 7 × 24 × 3600 s = 514080 s 5 months = 5 × 30 × 24 × 3600 s = 12960000 s 0.34 months = 0.34 x 30 x 24 x 3600 s = 881280 s 3 years = 3 x 365 x 24 x 3600 s = 94608000 s 0.76 s = 0.76 x 365 x 24 x 3600 s = 23967360 s
3ms = 0.003s 345ms = 0.345s 77.9ms = 0.0779s 0.00478ms = 0.00000478s	3 hours = 3 x 3600 seconds = 10800 seconds 25.3 hours = 25.3 x 3600 seconds = 91080 seconds 0.25 hours = 0.25 x 3600 seconds = 900 seconds 20.07 hours = 20.07 × 3600 s = 72252 s

4. Units of area

The unit of area in the SI system of units is SQUARE METER.

When solving physical problems, the values ​​of physical quantities presented in other units must be converted to SI units, i.e. in square meters.

The relationship between square and linear units is easy to establish:

1 km 2 \u003d 1 km × 1 km \u003d 1000 m × 1000 m \u003d 1,000,000 m 2.

1 dm 2 \u003d 1 dm × 1 dm \u003d 0.1 m × 0.1 m \u003d 0.01 m 2.

1 cm 2 \u003d 1 cm × 1 cm \u003d 0.01 m × 0.01 m \u003d 0.0001 m 2.

1 mm 2 \u003d 1 mm × 1 mm \u003d 0.001 m × 0.001 m \u003d 0.000001 m 2.

Unit name	Relationship with SI units	Share of base unit or number of base units	Translation rule
Square kilometer	1 km 2 \u003d 1000000 m 2	Million square meters	Move the decimal point 6 places to the right (adding six zeros to the right of an integer)
square decimeter	1 dm 2 \u003d 0.01 m 2	one hundredth square meter	Move decimal point 2 places to the left
square centimeter	1 cm 2 \u003d 0.0001 m 2	One ten thousandth of a square meter	Move decimal point 4 places to the left
square millimeter	1 mm 2 \u003d 0.000001 m 2	One millionth of a square meter	Move decimal point 6 places to the left

Translation examples:

5 km 2 \u003d 5000000 m 2 674 km 2 \u003d 674000000 m 2 1, 76 km 2 \u003d 1760000 m 2 0.06 km 2 \u003d 60000 m 2

7 dm 2 = 0.07 m 2 600 dm 2 = 6 m 2 13.52 dm 2 = 0.1352 m 2 0.004 dm 2 = 0.00004 m 2

3 cm 2 \u003d 0.0003 m 2 565 cm 2 \u003d 0.0565 m 2 6.6 cm 2 \u003d 0.00066 m 2 0.0005 cm 2 \u003d 0.00000005 m 2

8 mm 2 = 0.000008 m 2 78 mm 2 = 0.000078 m 2 7.87 mm 2 = 0.00000787 m 2 0.125 mm 2 = 0.000000125 m 2

5. Volume units

The unit of volume in the SI system of units is the CUBIC METER.

When solving physical problems, the values ​​of physical quantities presented in other units must be converted to SI units, i.e. in cubic meters.

The relationship between cubic and linear units is easy to establish:

1 km 3 \u003d 1 km × 1 km × 1 km \u003d 1000 m × 1000 m × 1000 m \u003d 1000000000 m 3.

1 dm 3 \u003d 1 dm × 1 dm × 1 dm \u003d 0.1 m × 0.1 m × 0.1 m \u003d 0.001 m 3.

1 cm 3 \u003d 1 cm × 1 cm × 1 cm \u003d 0.01 m × 0.01 m × 0.01 m \u003d 0.000001 m 3.

1 mm 3 \u003d 1 mm × 1 mm × 1 mm \u003d 0.001 m × 0.001 m × 0.001 m \u003d 0.000000001 m 3.

In everyday life, liters (l) and milliliters (ml) are also often used:

1 l \u003d 1 dm 3 \u003d 0.001 m 3.

1 ml \u003d 0.001 l \u003d 0.000001 m 3.

It can be seen from this that 1 ml \u003d 1 cm 3, therefore, in medicine it is often called a "cube".

Unit name	Relationship with SI units	Share of base unit or number of base units	Translation rule
cubic kilometer	1 km 3 \u003d 1000000000 m 3	Billion cubic meters	Move the decimal point 9 places to the right (add nine zeros to the right of an integer)
cubic decimeter	1 dm 3 \u003d 0.001 m 3		Move decimal point 3 places to the left
Cubic centimeter	1 cm 3 \u003d 0.000001 m 3		Move decimal point 6 places to the left
cubic millimeter	1 mm 3 \u003d 0.000000001 m 3	One billionth of a cubic meter	Move decimal point 9 places to the left
Liter	1 l \u003d 0.001 m 3	One thousandth of a cubic meter	Move decimal point 3 places to the left
Milliliter	1 ml \u003d 0.000001 m 3	One millionth of a cubic meter	Move decimal point 6 places to the left

Translation examples:

6. Speed ​​units

The unit of speed (motion) in the system of units "SI" is METERS PER SECOND.

When solving physical problems, the values ​​of physical quantities presented in other units must be converted to SI units, i.e. in meters per second.

In everyday life, kilometers per hour (km/h) are often used. Converting such values ​​to SI units (m/s) requires converting units of length and converting units of time. Knowing that 1 km = 1000 m, and 1 second is 3600 times shorter than 1 hour, i.e. 1 s = h, then.

Pascal (Pa, Pa)

Pascal (Pa, Pa) is a unit of pressure in the International System of Units of Measurement (SI system). The unit is named after the French physicist and mathematician Blaise Pascal.

Pascal is equal to the pressure caused by a force equal to one newton (N), evenly distributed over a surface normal to it with an area of ​​\u200b\u200bone square meter:

1 pascal (Pa) ≡ 1 N/m²

Multiple units are formed using standard SI prefixes:

1 MPa (1 megapascal) = 1000 kPa (1000 kilopascals)

Atmosphere (physical, technical)

Atmosphere is a non-systemic unit of pressure, approximately equal to atmospheric pressure on the Earth's surface at the level of the World Ocean.

There are two approximately equal units with the following name:

1. Physical, normal or standard atmosphere (atm, atm) - exactly equal to 101,325 Pa or 760 millimeters of mercury.

Technical atmosphere (at, at, kgf/cm²)- equal to the pressure produced by a force of 1 kgf, directed perpendicularly and evenly distributed over a flat surface of 1 cm² (98,066.5 Pa).

1 technical atmosphere = 1 kgf / cm² (“kilogram-force per square centimeter”). // 1 kgf = 9.80665 newtons (exactly) ≈ 10 N; 1 N ≈ 0.10197162 kgf ≈ 0.1 kgf

On the English language kilogram-force is denoted as kgf (kilogram-force) or kp (kilopond) - kilopond, from the Latin pondus, meaning weight.

Notice the difference: not pound (in English "pound"), but pondus.

In practice, they approximately accept: 1 MPa = 10 atmospheres, 1 atmosphere = 0.1 MPa.

Bar

Bar (from the Greek βάρος - gravity) is a non-systemic unit of pressure, approximately equal to one atmosphere. One bar is equal to 105 N/m² (or 0.1 MPa).

Relations between units of pressure

1 MPa \u003d 10 bar \u003d 10.19716 kgf / cm² \u003d 145.0377 PSI \u003d 9.869233 (phys. atm.) \u003d 7500.7 mm Hg

1 bar \u003d 0.1 MPa \u003d 1.019716 kgf / cm² \u003d 14.50377 PSI \u003d 0.986923 (phys. atm.) \u003d 750.07 mm Hg

1 atm (technical atmosphere) = 1 kgf/cm² (1 kp/cm², 1 kilopond/cm²) = 0.0980665 MPa = 0.98066 bar = 14.223

1 atm (physical atmosphere) \u003d 760 mm Hg \u003d 0.101325 MPa \u003d 1.01325 bar \u003d 1.0333 kgf / cm²

1 mm Hg = 133.32 Pa = 13.5951 mm water column

Volumes of liquids and gases / Volume

1 gl (US) = 3.785 liters

1 gl (Imperial) = 4.546 l

1 cu ft = 28.32 l = 0.0283 cubic meters

1 cu in = 16.387 cc

Flow rate / Flow

1 l/s = 60 l/min = 3.6 m3/h = 2.119 cfm

1 l/min = 0.0167 l/s = 0.06 m3/h = 0.0353 cfm

1 m3/hour = 16.667 l/min = 0.2777 l/s = 0.5885 cfm

1 cfm (cubic foot per minute) = 0.47195 l/s = 28.31685 l/min = 1.699011 cfm/hour

Flow capacity / Valve flow characteristics

Flow coefficient (factor) Kv

Flow Factor - Kv

The main parameter of the shut-off and regulating body is the flow coefficient Kv. The flow coefficient Kv indicates the volume of water in cubic meters per hour (cbm/h) at a temperature of 5-30ºC, passing through the valve with a head loss of 1 bar.

Flow coefficient Cv

Flow Coefficient - Cv

In inch countries, the Cv factor is used. It shows how much water in gallon/minute (gpm) at 60ºF passes through a valve for a 1 psi pressure drop across the valve.

Kinematic viscosity / Viscosity

1 ft = 12 in = 0.3048 m

1 in = 0.0833 ft = 0.0254 m = 25.4 mm

1 m = 3.28083 ft = 39.3699 in

Force units

1 N = 0.102 kgf = 0.2248 lbf

1 lbf = 0.454 kgf = 4.448 N

1 kgf \u003d 9.80665 N (exactly) ≈ 10 N; 1 N ≈ 0.10197162 kgf ≈ 0.1 kgf

In English, kilogram-force is denoted as kgf (kilogram-force) or kp (kilopond) - kilopond, from the Latin pondusmeaning weight. Please note: not pound (in English "pound"), but pondus.

Mass units / Mass

1 lb = 16 oz = 453.59 g

Moment of force (torque)/Torque

1 kgf. m = 9.81 N. m = 7.233 lbf ft (lbf * ft)

Power units / power

Some quantities:

Watt (W, W, 1 W = 1 J / s), horsepower (hp - Russian, hp or HP - English, CV - French, PS - German)

Unit Ratio:

In Russia and some other countries, 1 hp. (1 PS, 1 CV) = 75 kgf * m / s = 735.4988 W

US, UK and other countries 1 hp = 550 ft.lb/s = 745.6999 W

Temperature

Temperature Fahrenheit:

[°F] = [°C] × 9⁄5 + 32

[°F] = [K] × 9⁄5 − 459.67

Celsius temperature:

[°C] = [K] − 273.15

[°C] = ([°F] − 32) × 5⁄9

Temperature on the Kelvin scale:

[K] = [°C] + 273.15

[K] = ([°F] + 459.67) × 5⁄9

In this lesson we will learn how to convert physical quantities from one unit of measurement to another.

Lesson content

Converting length units

From past lessons, we know that the main units of length are:

• millimeters;
• centimeters;
• decimeters;
• meters;
• kilometers.

Any value that characterizes length can be converted from one unit of measure to another.

In addition, when solving problems in physics, it is imperative to comply with the requirements of the international SI system. That is, if the length is given not in meters, but in another unit of measurement, then it must be converted to meters, since the meter is the unit of length in the SI system.

To convert length from one unit of measure to another, you need to know what this or that unit of measure consists of. That is, you need to know that, for example, one centimeter consists of ten millimeters or one kilometer consists of a thousand meters.

Let's show on simple example, as you can argue when converting length from one unit of measure to another. Suppose that there are 2 meters and you need to convert them to centimeters.

First you need to find out how many centimeters are in one meter. One meter contains one hundred centimeters:

1 m = 100 cm

If there are 100 centimeters in 1 meter, how many centimeters are there in 2 meters? The answer suggests itself - 200 cm. And these 200 cm are obtained if 2 is multiplied by 100.

So, to convert 2 meters to centimeters, you need to multiply 2 by 100

2 × 100 = 200 cm

Now let's try to convert the same 2 meters into kilometers. First you need to find out how many meters are contained in one kilometer. One kilometer contains a thousand meters:

1 km = 1000 m

If one kilometer contains 1000 meters, then a kilometer that contains only 2 meters will be much smaller. To get it, you need to divide 2 by 1000

2: 1000 = 0.002 km

At first, it can be difficult to remember which action to use to convert units - multiplication or division. Therefore, at first it is convenient to use the following scheme:

The essence of this scheme lies in the fact that when moving from a higher unit of measurement to a lower one, multiplication is applied. Conversely, when moving from a lower unit of measure to a higher one, division is applied.

Arrows pointing up and down indicate that the transition is from a higher unit of measure to a lower one and a transition from a lower unit of measure to a higher one, respectively. At the end of the arrow it is indicated which operation to apply: multiplication or division.

For example, let's convert 3000 meters to kilometers using this scheme.

So we have to go from meters to kilometers. In other words, go from a lower unit of measure to a higher one (a kilometer is older than a meter). We look at the diagram and see that the arrow indicating the transition from lower units to higher ones is directed upwards and at the end of the arrow it is indicated that we must apply division:

Now you need to find out how many meters are contained in one kilometer. There are 1000 meters in one kilometer. And to find out how many kilometers are 3000 such meters, you need to divide 3000 by 1000

3000: 1000 = 3 km

So, when translating 3000 meters into kilometers, we get 3 kilometers.

Let's try to convert the same 3000 meters into decimeters. Here we must move from higher units to lower ones (a decimeter is less than a meter). We look at the diagram and see that the arrow indicating the transition from higher to lower units is directed downwards and at the end of the arrow it is indicated that we must apply multiplication:

Now you need to find out how many decimeters are in one meter. There are 10 decimeters in one meter.

1 m = 10 dm

And to find out how many such decimeters are in three thousand meters, you need to multiply 3000 by 10

3000 × 10 = 30,000 dm

So when converting 3000 meters to decimeters, we get 30,000 decimeters.

Mass conversion

From past lessons, we know that the basic units of mass are:

• milligrams;
• grams;
• kilograms;
• centners;
• tons.

Any value that characterizes mass can be converted from one unit of measurement to another.

In addition, when solving problems in physics, it is imperative to comply with the requirements of the international SI system. That is, if the mass is given not in kilograms, but in another unit of measurement, then it must be converted to kilograms, since the kilogram is the unit of mass in the SI system.

To convert mass from one unit of measurement to another, you need to know what this or that unit of measurement consists of. That is, you need to know that, for example, one kilogram consists of a thousand grams or one centner consists of a hundred kilograms.

Let's use a simple example to show how you can reason when converting mass from one unit of measure to another. Suppose there are 3 kilograms and you need to convert them to grams.

First you need to find out how many grams are contained in one kilogram. One kilogram contains one thousand grams:

1 kg = 1000 g

If there are 1000 grams in 1 kilogram, how many grams will be contained in 3 such kilograms? The answer suggests itself - 3000 grams. And these 3000 grams are obtained by multiplying 3 by 1000. So, to convert 3 kilograms to grams, you need to multiply 3 by 1000

3 × 1000 = 3000 g

Now let's try to convert the same 3 kilograms into tons. First you need to find out how many kilograms are contained in one ton. One ton contains a thousand kilograms:

1 t = 1000 kg

If one ton contains 1000 kilograms, then a ton that contains only 3 kilograms will be much smaller. To get it, you need to divide 3 by 1000

3: 1000 = 0.003 t

As in the case of converting length units, at first it is convenient to use the following scheme:

This scheme will allow you to quickly figure out what action to perform to convert units - multiplication or division.

For example, let's convert 5000 kilograms to tons using this scheme.

So we have to move from kilograms to tons. In other words, move from a lower unit of measure to an older one (a ton is older than a kilogram). We look at the diagram and see that the arrow indicating the transition from lower units to higher ones is directed upwards and at the end of the arrow it is indicated that we must apply division:

Now you need to find out how many kilograms are contained in one ton. One ton contains 1000 kilograms. And to find out how many tons is 5000 kilograms, you need to divide 5000 by 1000

5000: 1000 = 5 t

So, when converting 5000 kilograms into tons, it turns out 5 tons.

Let's try to convert 6 kilograms to grams. In this case, we are moving from a higher unit of measure to a lower one. Therefore, we will use multiplication.

First you need to find out how many grams are contained in one kilogram. One kilogram contains one thousand grams:

1 kg = 1000 g

If there are 1000 grams in 1 kilogram, then there will be six times as many grams in six such kilograms. So 6 must be multiplied by 1000

6 × 1000 = 6000 g

So, when translating 6 kilograms into grams, we get 6000 grams.

Time units conversion

From past lessons, we know that the basic units of time are:

• seconds;
• minutes;
• clock;
• day.

Any value that characterizes time can be converted from one unit of measurement to another.

In addition, when solving problems in physics, it is imperative to comply with the requirements of the international SI system. That is, if time is given not in seconds, but in another unit of measurement, then it must be converted to seconds, since the second is the unit of time in the SI system.

To convert time from one unit of measurement to another, you need to know what this or that unit of time measurement consists of. That is, you need to know that, for example, one hour consists of sixty minutes or one minute consists of sixty seconds, etc.

Let's use a simple example to show how you can reason when converting time from one unit of measurement to another. Suppose you want to convert 2 minutes to seconds.

First you need to find out how many seconds are in one minute. There are sixty seconds in one minute:

1 min = 60 s

If there are 60 seconds in 1 minute, how many seconds are there in 2 such minutes? The answer suggests itself - 120 seconds. And these 120 seconds are obtained by multiplying 2 by 60. So, to convert 2 minutes into seconds, you need to multiply 2 by 60

2 x 60 = 120 s

Now let's try to convert the same 2 minutes into hours. Since we are converting minutes to hours, we first need to find out how many minutes are contained in one hour. There are sixty minutes in one hour:

If one hour contains 60 minutes, then an hour that contains only 2 minutes will be much less. To get it you need 2 minutes divided by 60

Dividing 2 by 60 results in a periodic fraction of 0.0 (3). This fraction can be rounded to the hundredth place. Then we get the answer 0.03

When converting time units, a scheme is also applicable that tells you what to use - multiplication or division:

For example, let's convert 25 minutes to hours using this scheme.

So we have to move from minutes to hours. In other words, move from a lower unit of measurement to a higher one (hours are older than minutes). We look at the diagram and see that the arrow indicating the transition from lower units to higher ones is directed upwards and at the end of the arrow it is indicated that we must apply division:

Now we need to find out how many minutes are contained in one hour. One hour contains 60 minutes. And an hour that contains only 25 minutes will be much less. To find it, you need to divide 25 by 60

Dividing 25 by 60 results in a periodic fraction of 0.41 (6). This fraction can be rounded to the hundredth place. Then we get the answer 0.42

25:60 = 0.42 h

Did you like the lesson?
Join our new group Vkontakte and start receiving notifications about new lessons