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# Conversion

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Submitted By chelsea2524
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Unit Conversion Worksheet

When converting from one a unit to another it is useful to use conversion factors. Conversion factors are fractions that equal 1 because the numerator (top) equals the denominator (bottom), but they use different units. In algebra you learned that multiplying any quantity by 1 does not change the quantity’s value, so we can use conversion factors to change the units of a measurement without changing the value of a measurement.

For instance, since 1 km = 1000 m, 1 min = 60 s, and 1 hr = 60 min, we can create the conversion factors below:

By using all 3 of these conversion factors you can convert 15 km/hr into m/s. Be careful to use the conversion factor that cancels the units you are trying to convert out of. If you can cancel (reduce to 1) those units you did it correctly.
|15 km |1000 m |1 hr |1 min |
|1 hr |1 km |60 min |60 s |

Carry out the following conversions. If you have trouble, start by writing out the conversion factors you’ll need.

1. 1.00 year (non-leap year) into seconds.

2. 36 km into cm.

3. 55g into kg.

4. 22kg into mg

5. 5 m/s into mi/hr

6. 60 L into mL

7. 170 cm/min into m/s

8. The speed of light (in a vacuum) is 3.0 x 108 m/s. Convert this speed into km/day and mi/hr.

9. 95kg = _____ g

10. 3.5cm= _____dam

11. 25 MHz = _____ Hz

12. 343 m/s = _____ mi/hr

13. 32 ft/s2 = _____ m/s2

14. 1.013 x 105 N/m2 = _______ N/cm2

15. 230 g*cm2/s2 = _______ kg*m2/s2

16. 57 kg*km/min2=______ kg*m/s2

-----------------------
= 1 =1 =1

and _1000 m_ _60 s_ _60 min_ 1 km 1 min 1 hr

= 1 =1 =1

__1 km _ _1 min_ _ 1 hr__ 1000 m 60 s 60 min

= 4.2 m/s

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