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SPH3U Data Analysis Name: _________________________________ Exercise 2: Units in Calculations, Unit Conversion 1. What units would result from each of the following calculations? a) 3 cm/s 25 s = cm b) 4 m ÷ 6 s = m/s or ms1 c) 15 m/s2 2 s = m/s or ms1 d) 5 m/s ÷3 s = m/s2 or ms2 e) 3 g ÷ 2 cm3 = g/cm3 or gcm3 f) 4 kg/m3 1.6 m = kg/m2 or kgm2 g) 6 m ÷ 3 m = none h) 22 s/kg 3 kg = s i) 9 L/s ÷ 2 s/L = L2/s2 or L2s2 j) k) 15 mm2 3 mm = mm3 l) 8 m/s ÷ 2 m = 1/s or s1 32 m 2 m/s = s or s1/2 2. Make the following unit conversions, expressing the result in scientific notation where appropriate. a) 34 260 m = ? mm b) 4.57 kg/m2 = ? g/cm2 4.57101 3.426107 c) 15.7 Ms = ? Gs 1.57102 d) 2 436 nm = ? m 2.436 e) 0.0386 cm = ? mm 3.86101 (0.386) 8.296102 f) 82.96 g = ? kg g) 250 s = ? ms 2.5101 (0.25) h) 250 cm2 = ? m2 2.5102 i) 0.642 L = ? cL 6.42101 (64.2) j) 5200 km = ? Gm 5.2103 k) 15 m/s = ? km/h 5.4101 (54) m) 100 km/h = ? m/s 2.78101 (27.8) l) 1.00 year = ? s n) 5.0 m3 = ? cm3 5.0106 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? 3.16107 1.25 h 2.1 105 cs 5. The speed of light is 3.00 × 108 m/s. What is this speed in km/h? 1.08109 km/h 6. Express a speed of 50 km/h in units of feet/second (ft/s) 46 ft/s 7. Convert a pressure of 14.7 lbs/in2 into units of kg/cm2 1.03 kg/cm2 8. Convert a flow rate of 6 million cubic feet per minute into litres per second (the flow rate of Niagara falls) 2.8 106 L/s Bonus speed of light = 1.81012 furlongs/fortnight