Unit Conversion Worksheet



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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, (equivalence statements) 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. 4.56 km into mm

2. 4.5 lb into mg

3. 0.00045 Gmol into damol

4. 1.00 year (non-leap year) into seconds.

5. 36 km into cm.

6. 55g into kg.

7. 22kg into mg

8. 5 m/s into mi/hr

9. 60 L into mL

10. 170 cm/min into m/s

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

12. 95kg = _____ g

13. 3.5cm= _____dam

14. 25 MHz = _____ Hz

15. 343 m/s = _____ mi/hr

16. 32 ft/s2 = _____ m/s2

17. 1.013 x 105 N/m2 = _______ N/cm2

18. 230 g*cm2/s2 = _______ kg*m2/s2

19. 57 kg*km/min2=______ kg*m/s2

20. A tire impression left in the mud at a crime scene was 8.7 inches wide. Convert this to centimeters.

21. How many 325 mg tablets can be produced from 2.50 kg of ibuprofen?

22. One baked potato provides an average of 31.0 mg of vitamin C. If 5.0 lb. of potatoes has 15 potatoes, how many

milligrams of vitamin C are provided per pound of potatoes?

23. Forensic scientists must be careful to avoid communicable diseases such as HIV/AIDS. In body fluids such as

blood or saliva, the HIV virus can survive over 15 days at room temperature and longer if refrigerated. How

many hours can the HIV virus survive in liquid at room temperature?

24. The tread on a suspect’s car tire is worn to 1/16th of an inch. Convert this to millimeters.

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= 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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