Unit Conversions Introduction to Engineering Design 2012 Project

Unit Conversions Introduction to Engineering Design © 2012 Project Lead The Way, Inc.

Unit Conversion • Converting units is necessary in science and engineering – to work across different systems of measurement • SI to US like meters to feet – or to express quantities in different units within a single system • US to US like feet to inches

Unit Conversion – how to covert units • Conversion factor – A ratio (fraction) in which the quantity in the numerator is equivalent to the quantity in the denominator which is used to convert between units – Multiply unit conversation factor by a quantity to convert the quantity to alternate units – Contains desired units in the numerator and the given units in the denominator Conversion Factor

Example with vocabulary words Convert 5 feet to inches Desired unit Given unit Conversion Factor Equation with feet and inches

US conversion Convert 5 inches to feet round to nearest thousandth Convert 1 billion ft to miles round to nearest tenth

Stop Complete Activity 3. 3 Problems #1 a, 1 b

Writing Numbers – SI System Larger Smaller Power of 10 Prefix Abbreviation 101 =10 deca- da 10 -1=0. 1 deci- d 102 =100 hecto- h 10 -2=0. 01 centi- c 103=1, 000 kilo- k 10 -3 =0. 001 milli- m 106=1, 000 Mega- M 10 -6=0. 000001 micro- µ 109=1, 000, 000 Giga- G 10 -9=0. 00000001 nano- n Examples: • 10 m = 1 decameter • . 01 m = 1 cm or 100 cm is 1 m • . 001 L = 1 m. L or 1, 000 m. L = 1 L • 1, 000 L = 1 kiloliters • . 000001 g = 1 µg or 1, 000 µg = 1 g • 1, 000 g = 1 Megagram

Conversion of Units – SI System Example: Convert 103. 2 hectometers to meters Example: Convert 3 hundred milliseconds to seconds OR this unit conversion Power of 10 Prefix Abbreviation 101 =10 deca- da 10 -1=0. 1 deci- d 102 =100 hecto- h 10 -2=0. 01 centi- c 103=1, 000 kilo- k 10 -3 =0. 001 milli- m 106=1, 000 Mega- M 10 -6=0. 000001 micro- µ 109=1, 000, 000 Giga- G 10 -9=0. 00001 nano- n

Stop Complete Activity 3. 3 Problems 1 c, 1 d, 1 e

More Unit Conversions Feet and Inches

More Unit Conversions Feet and Inches

More Unit Conversions Feet and Inches • Convert 82 in. to feet - inches: 6 ft x 12 in = 72 in 82 in – 72 in = 10 in

Stop Complete Activity 3. 3 Problems 1 f and 1 g

Unit Conversions Between U S and SI Systems Use equivalency of units to create conversion factors • Inches to centimeters: Desired Unit Given Unit

Conversion of Units Between Systems Example: Convert 34. 7 inches to centimeters Round to nearest tenth.

Conversion of Units Between Systems Example: Convert 17 kg to lb (round to nearest unit)

Stop Complete Activity 3. 3 Problems 1 h and 1 i

Advanced unit Conversion

Advanced Example: Convert 345. 7 inches to yards round to nearest tenth

Advanced unit conversions Example: Convert 7 miles into inches

Advanced unit conversions Example: Convert 519. 67 hectoliters to Megaliters Round to the nearest ten thousandth Power of 10 Prefix Abbreviation 101 =10 deca- da 10 -1=0. 1 deci- d 102 =100 hecto- h centi- c 103=1, 000 kilo- k 10 -3 =0. 001 milli- m 106=1, 000 Mega- M 10 -6=0. 000001 micro- µ 109=1, 000, 000 Giga- G 10 -9=0. 00001 nano- n 10 -2=0. 01

Very Advanced Example: An American car company has designed a new high fuel efficiency vehicle that is rated at 55 miles per gallon. The company plans to export the car to Europe and must advertise the fuel efficiency in SI units. What is the fuel usage rate in kilometers per liter?

Stop 1 j and 1 k

Continue working on 3. 3