SI UNITS and CONVERSION CALCULATIONS CAFarrer 2013

Table 1: SI Base Units QuantityUnitSymbol lengthmeterm masskilogramkg timeseconds electric currentampereA thermodynamic temperaturekelvinK amount of substancemolemol luminous intensitycandelacd CAFarrer 2013

Table 2: Prefixes PREFIXSYMBOL MULTIPLICATION FACTOR gigaG megaM kilok1000 hectoh100 dekada10 NO PREFIX1 decid0.1 centic0.01 millim0.001 microµ nanon picop femtof CAFarrer 2013

Metric to Metric Conversions QUESTION : 2.65 kg = _______ g ANSWER: 2.65 kg X 1000 g = 2650 g 1kg Numerator (kg) and Denominator (kg) units cancel to leave grams (g)! OR -- move decimal three places to the right CAFarrer 2013

TRY THESE! (USE THE RATIO FOR DIMENSIONAL ANALYSIS!!) SEE SLIDES # 3 AND 4) Ex. 167 cm = __________ m L = __________ mL 2.48 mg = __________ g cm = __________ mm mL = __________ L g = __________ kg  L = ___________ mL CAFarrer 2013

TRY THESE! - ANSWERS! 167 cm X 1 m / 100 cm = 1.67 m L X 1000 mL / 1L = mL 2.48 mg X 1 g / 1000 mg = g cm X 1 m / 100 cm X 1000 mm / 1 m = 6.45 mm mL X 1 L / 1000 mL= L g X 1 kg / 1000 g = kg  L X 1 L /  L X 1000 mL/ 1 L = mL CAFarrer 2013

QuantityNameSymbol Expression in terms of other SI units Celsius temperature degree Celsius°CK electric charge, quantity of electricitycoulombCA·s electric potential difference, electromotive forcevoltVW/A electric resistanceohmΩV/A energy, work, quantity of heatjouleJN·m forcenewtonNkg·m/s 2 frequency (of a periodic phenomenon)hertzHz1/s power, radiant fluxwattWJ/s pressure, stresspascalPaN/m 2 TABLE 3: SELECTED SI EXPRESSIONS WITH SI UNITS AND SYMBOLS CAFarrer 2013

Table 4: Metric To English Metric mulitply by # = English Centimeters (cm) x 0.39 = inches Meters (m) x 3.3 = feet Meters (m) x 1.1 = yards Kilometers (km) x 0.6 = miles Liters (l) x 1.1 = quarts (lq) liters (l) x = gallons Grams (g) x = ounces Kilograms (kg) x 2.2 = pounds milliter (mL) x 0.2 = Teaspoon (tsp) CAFarrer 2013

Table 5: English to Metric ENGLISH Multiply by # to yield METRIC Inches (in) x 2.54 = Centimeters Feet (ft) x 0.26 = meters Yards (yd) x 0.92 = meters Miles (mi) x 1.6 = kilometers Quarts (lq) (qt) x 0.9 = liters Gallons (gal) x = liters Ounces (oz) x 28.4 = grams Pounds (lb) x = kilograms teaspoon (tsp) X 5.0 = milliliter CAFarrer 2013

Conversion Calculations – TRY THESE!! cm = __________ in mL = __________ tsp g = __________ lbs 2.50 mi = __________ km gal X = __________ L oz = __________ g CAFarrer 2013

Conversion Calculations ANSWERS!! cm X 1 in / 2.54 cm = in mL X 1 tsp / 5 mL = 129 tsp g X 1 kg/ 1000 g X 2.2 lbs / 1 kg = 0.15 lbs 2.50 mi X 0.6 km / mi = 30 km gal x L / gal = 212 L oz X 28.4 g / oz = 9798 g CAFarrer 2013