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Exercise 2: Units in Calculations, Unit Conversion Name: _________________________________ This material is based on pages 4 – 6 of the Measurement and Analysis notes. As a group, take turns doing the following problems. When it is your turn, explain to your group members what you are doing to get the answer. Record your final answer when you all agree that it is correct. 1. What units would result from each of the following calculations? a) 3 cm/s 25 s = b) 4 m ÷ 6 s = c) 15 m/s2 2 s = d) 5 m/s ÷3 s = e) 3 g ÷ 2 cm3 = f) 4 kg/m3 1.6 m = g) 6 m ÷ 3 m = h) 22 s/kg 3 kg = i) 9 L/s ÷ 2 s/L = j) k) 15 mm2 3 mm = l) 8 m/s ÷ 2 m = 32 m 2 m/s = 2. Make the following unit conversions in your notebook, expressing the result in scientific notation where appropriate. a) 34 260 m = ? mm b) 4.57 kg/m2 = ? g/cm2 c) 15.7 Ms = ? Gs d) 2 436 nm = ? m e) 0.0386 cm = ? mm f) 82.96 g = ? kg g) 250 s = ? ms h) 250 cm2 = ? m2 i) 0.642 L = ? cL j) 5200 km = ? Gm k) 15 m/s = ? km/h l) 1.00 year = ? s m) 100 km/h = ? m/s n) 5.0 m3 = ? cm3 3. If it takes 4500 s to finish one lesson, how many hours is this? 4. How many cs are there in a 35 minute bus ride? SPH3U Data Analysis 1 5. The speed of light is 3.00 × 108 m/s. What is this speed in km/h? Below are some conversion factors for various units. You will need some of these for the following questions. 1 metric tonne (t) = 1000 kg Imperial 1 inch (in) 1 foot (ft) 1 yard (yd) 1 mile (mi) Metric 2.54 cm 30.48 cm 0.9144 m 1.6093 km Relation to other Imperial units 12.0 in 3.0 ft 5280 ft 1 ounce (oz) 1 pound (lb) 1 ton 28.35 g 0.4536 kg 0.9072 t 16 oz 2000 lbs 1 gallon (gal) 1 cubic foot (ft3) 4.5461 L 28.32 L USA Measure 1 gallon (US gal) 3.7854 L 36 in 1760 yd 0.8328 Imperial gal 6. Express a speed of 50 km/h in units of feet/second (ft/s) 7. Convert a pressure of 14.7 lbs/in2 into units of kg/cm2 (this is atmospheric pressure) 8. Convert a flow rate of 6 million cubic feet per minute into litres per second (the flow rate of Niagara falls) Bonus Given the following information, what is the speed of light in units of furlongs per fortnight (furlong/fortnight)? (A furlong is the length of a horse-racing track) 1 mile = 8 furlongs 1 mile = 1.609 km 1 fortnight = 2 weeks SPH3U Data Analysis 2