Unit Conversion Tip Sheet 2020 - Ontario Tech University

1
Radians are dimensionless 180 ° = 240 ° Unit conversion Metric system SI units Common combinations of the SI units Converting between degrees and radians a atto- Example: Convert the following: a) Convert 5.2 mg to kg a) Convert 45 ° to radians b) Convert π rad to degrees b) Convert 0.00071 km to μm (5.2 mg ) = 5.2 x 10 -6 kg 1 g 10 3 mg 10 -18 10 -15 10 -12 10 -9 10 -6 10 -3 10 -2 10 -1 10 0 10 1 10 2 10 3 10 6 10 9 10 12 f femto- p pico- n nano- μ micro- m milli- c centi- d deci- da deka- h hecto- k kilo- M mega- G giga- T tera- Base Unit 1 kg 10 3 g (7.1 x 10 -5 km) = 7.1 x 10 4 μm 10 3 m 1 km 10 6 μm 1 m Example: Convert the following to appropriate SI Units: Example: Perform the following conversions: a) 10 km/h b) 450 cm 2 = 2.8 1 h 3600 s km h π rad 180 ° 45 ° π rad = π rad π rad 4 4 3 4 3 1000 m m 1 km s ( 450 cm 2 ) = 0.045 m 2 1 m 100 cm 1 m 100 cm QUANTITY UNIT SYMBOL Length Metre QUANTITY UNIT Area Volume Velocity Acceleration m 3 m/s m 2 m/s 2 SYMBOL J , N Newton Joule DERIVED QUANTITY NAME Work ( ) Force ( ) EQUIVALENT SI UNITS W Watt Power ( ) A Ampere m 180 ° = π rad π 4 3π 4 5π 4 7π 4 3π 2 π 3 π 2 π π 2π 0 6 10 Mass Kilogram kg Time Second s Electric charge Temperature Amount of substance Kelvin Mole Coulomb K mol C Current ( ) , Student Learning Centre Call: 905.721.8668 ext. 6578 Email: [email protected] Website: ontariotechu.ca/studentlearning Downtown Oshawa Location: 61 Charles St. North Oshawa Location: Student Life Building This document is licensed under Attribution-NonCommercial 4.0 International (CC BY-NC 4.0). For more information visit creativecommons.org/licenses/by-nc/4.0/

Transcript of Unit Conversion Tip Sheet 2020 - Ontario Tech University

Page 1: Unit Conversion Tip Sheet 2020 - Ontario Tech University

Radians are dimensionless

180°= 240°

Unit conversionMetric system

SI units Common combinations of the SI units

Converting between degrees and radians

aatto-

Example: Convert the following:a) Convert 5.2 mg to kg

a) Convert 45° to radians

b) Convert π rad to degrees

b) Convert 0.00071 km to µm

(5.2 mg) = 5.2 x 10-6 kg 1 g

103 mg

10-18 10-15 10-12 10-9 10-6 10-3 10-2 10-1 100 101 102 103 106 109 1012

ffemto-

ppico-

nnano-

μmicro-

mmilli-

ccenti-

ddeci-

dadeka-

hhecto-

kkilo-

Mmega-

Ggiga-

Ttera-Base Unit

1 kg103 g

(7.1 x 10-5km) = 7.1 x 104μm 103 m1 km

106 μm 1 m

Example: Convert the following to appropriate SI Units:

Example: Perform the following conversions:

a) 10 km/h b) 450 cm2

= 2.81 h3600 s

kmh

π rad180°

45°

π rad

=

π rad

π rad4

43

43

1000 m m1 km s (450 cm2) = 0.045 m21 m

100 cm1 m

100 cm

QUANTITY UNIT SYMBOL

Length Metre

QUANTITY UNIT

Area

Volume

Velocity

Acceleration

m3

m/s

m2

m/s2

SYMBOL

J ,

NNewton

Joule

DERIVED QUANTITY NAME

Work ( )

Force ( )

EQUIVALENT SI UNITS

WWattPower ( )

AAmpere

m

180° = π rad π4

3π4

5π4

7π4

3π2

π3

π2

π

π2π0

6

10

Mass Kilogram kg

Time Second s

Electric charge

Temperature

Amount of substance

Kelvin

Mole

Coulomb

K

mol

C

Current ( )

,

Student Learning Centre

Call: 905.721.8668 ext. 6578Email: [email protected]: ontariotechu.ca/studentlearning

Downtown Oshawa Location: 61 Charles St.North Oshawa Location: Student Life Building

This document is licensed under Attribution-NonCommercial 4.0 International (CC BY-NC 4.0). For more information visit creativecommons.org/licenses/by-nc/4.0/