Solutions to Dimensional analysis Problems

Name: _____________________
Physics
Mr. Tiesler
Dimensional Analysis
Complete the following conversions. Show all work.
1.) Convert 1.26 km to:
a) meters
1000 π‘š = 1 π‘˜π‘š
1.26 π‘˜π‘š π‘₯
1000 π‘š
= 1260 π‘š
1 π‘˜π‘š
b) centimeters
1 π‘š = 100 π‘π‘š
1.26 π‘˜π‘š π‘₯
1000 π‘š 100 π‘π‘š
π‘₯
= 126,000 π‘π‘š
1 π‘˜π‘š
1π‘š
c) megameters
1,000,000 π‘š = 1 π‘€π‘š
1.26 π‘˜π‘š π‘₯
Date: _____________
1000 π‘š
1 π‘€π‘š
π‘₯
= 0.00126 π‘€π‘š
1 π‘˜π‘š 1,000,000 π‘š
d) picometers
1 π‘š = 1012 π‘π‘š
1000 π‘š 1012 π‘π‘š
1.26 π‘˜π‘š π‘₯
π‘₯
= 1.26 π‘₯1015 π‘π‘š
1 π‘˜π‘š
1π‘š
2.) Convert 4.2 miles to kilometers (hint: 1m = 3.28ft, 1mi = 5280ft)
4.2 π‘šπ‘– π‘₯
5280 𝑓𝑑
1π‘š
1 π‘˜π‘š
π‘₯
π‘₯
= 6.8 π‘˜π‘š
1 π‘šπ‘–
3.28 𝑓𝑑 1000 π‘š
3.) Convert 1,750,000 megabytes to terabytes
1,750,000 𝑀𝐡 π‘₯
1 𝑇𝐡
= 1.75 𝑇𝐡
106 𝑀𝐡
4.) Convert 2.5 days to seconds
2.5 π‘‘π‘Žπ‘¦π‘  π‘₯
24 β„Žπ‘œπ‘’π‘Ÿπ‘  60 π‘šπ‘–π‘› 60 𝑠
π‘₯
π‘₯
= 216,000 𝑠 = 220,000 𝑠
1 π‘‘π‘Žπ‘¦
1 β„Žπ‘œπ‘’π‘Ÿ 1 π‘šπ‘–π‘›
5.) Convert 3.30 m/s to km/h
3.30
π‘š 1 π‘˜π‘š
60 𝑠 60 π‘šπ‘–π‘›
π‘₯
π‘₯
π‘₯
= 11.9 π‘˜π‘š/β„Ž
𝑠 1000 π‘š 1 π‘šπ‘–π‘› 1 β„Žπ‘œπ‘’π‘Ÿ