Unit Conversion Worksheet
Name: _________________________________ Date: __________________
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:
1 𝑘𝑚
1000𝑚
𝑚
,
1𝑘𝑚
𝑜𝑟
1𝑚𝑖𝑛
𝑠
1ℎ
𝑜𝑟
,
𝑜𝑟
60𝑠
1𝑚𝑖𝑛 3600𝑠
𝑠
1ℎ
,
1𝑘𝑔
𝑜𝑟
1000𝑔
𝑔
1 𝑘𝑔
and …….. you can make your factor or conversion.
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
𝑚 (1000𝑚)
1ℎ
𝑥
𝑥
= 4.2𝑚/𝑠
ℎ
(1 𝑘𝑚) 3600𝑠
Carry out the following conversions. If you have trouble, start by writing out the conversion factors you’ll
need.
1) 1.5 year (non-leap year) into seconds.
2) 23 km into cm.
23𝑘𝑚
(
)
(
)
𝑥
(
)
(
)
= _________𝑐𝑚
1
3) 35 kg. into g, 35𝑔
4) 15.6 kg into mg .
(
)
(
)
15.6𝑘𝑔
5) 8.5 m/s into km/hr 8.5
= _________𝑘𝑔
(
)
(
)
𝑚(
)
𝑠 (
)
= _______________𝑔
𝑥
(
)
(
)
𝑥
(
)
(
)
= ___________ 𝑘𝑚⁄ℎ
6. Use figure describe the trip without stopping.
Takes 10 hour and 30 minutes to travel from Little Elm Texas to
Pensacola Fl, and it corresponding distance is 1088.56 km.
a) How many meter there are from Little Elm Texas to Pensacola Fl,
b) How many centimeter there are from Little Elm Texas to Pensacola Fl,
c) How many millimeters there are from Little Elm Texas to Pensacola Fl,
d) What is the total time in minutes?
e) What is the total time in seconds?
f) What is the ration, distance/time in meters/second?
2
Part II: Pre-AP Physics Only
(For General Physics, if you want to Earn 10 daily grade points. Solve problems 7 to
13 showing your work step by step. Incomplete work is not accepted.
7) 35 kg. into g, 35𝑔
(
)
(
)
= _________𝑘𝑔
8) 53 kg2 into g2,
53𝑘𝑔2
(
)
(
)
9) 53 kg3 into g3,
53𝑘𝑔3
(
)
(
)
= _____________𝑔2
= _____________𝑔3
10) How many square meters are there in 10,000 m × 10,000 m
11) How many square kilometers are there in 10,000 m × 10,000 m
12) How many square centimeter are there in 10,000 m × 10,000 m
3
13. The mass of the Earth is 5.98𝑥1024 𝑘𝑔, and its radius is 6400 km.
3
a) Calculate the volume of the Earth [Ideas: Use the equation of volume of sphere 𝑉 = (4)𝜋𝑟 3]
b) Calculate the average density of the earth in 𝐾𝑔/𝑚3?
𝑚𝑎𝑠𝑠
𝑚
[Ideas: Use the equation density =𝑣𝑜𝑙𝑢𝑚𝑒𝑛 or 𝜌 = 𝑉 ]
c) Calculate the average density of the earth in 𝑔/𝑐𝑚3 ?
4