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Does anyone feel very comfortable with this trick and is willing to go over a simple example relating to this? Thanks in advance!
For example in TBR another example problem ( 1.1.b)
How fast is a car traveling in miles per hour if it has a speed of 0.02906 km/s? 1 mile= 1609.38 m?
a) 0.018miles/ hr
b) 1.1 miles/ hr
c) 65 miles/ hr
d) 780 miles/ hr
1) Crossed out a and d because these values are too large or small.
2) Now I'm left with b or c
So initially I changed both numbers to scientific notation
1) 0.02906 km/s==> 2.906 x 10^-2
2) 1609.38 m==> 1.60938 x 10^3
Then I am just lost after that... am I on the right track? Thanks in advance!
Thanks so much. I just need to practice more dimensional analysis problems then.
It's just a fancy word for converting units or correctly matching up units, it's just like doing stoichiometry. Pretty straight forward
.03 km/s * 1000m/km * 1mile/1609m * 3600s/ hr = # mile/hr