Name _______________________ Class Period _____ Unit Conversion Activity (HS5.1.1.5, HS1.6.4, HS1.6.3) How do we convert units from one set to an equivalent but perhaps more useful set? A method used widely in all sciences is the “Factor-label” method, illustrated below. Example: Convert 55 m/s to km/hr: 55 m 1 km 3600 s = 55 (3600) km = 198 km = 198 km/hr s 1000 m 1 hr 1000 hr hr Example: Convert 1 m3 to cm3: 1 m3 (100cm)(100cm)(100cm) = 1,000,000 cm3 = 1x106 cm3 1 m3 Notes: The units are arranged so as to cancel out; ie, if “meters” is in the numerator, then it would be placed in the denominator of the first conversion step. Each conversion step involves a numerator equal to what is in the denominator. Convert the given unit combinations into the ones requested. Show your work for each conversion, using the factor-label method illustrated above. 1. Convert 70 kg to ng 2. Convert 150 s to Ms 3. Convert 0.005 Gm to mm 4. Convert 1 year to seconds 5. Convert 450 km/hr to m/s 6. Convert 60mi/hr to m/s (1 mile = 1.609 km) 7. Convert 100 m/s to mi/hr 8. Convert 20 mi/gal to km/liter (1 gal = 3.8 liters) Honors and AP do these also!: 9. Convert 250 mm2 to m2 10. Convert 1 km3 to m3 11. Convert 9.8 m/s2 to km / hr2 12. Convert 20 kg m/ s2 to g cm/ hr2