classify the following mixtures as Track of units during conversions can get The

Question

classify the following mixtures as Track of units during conversions can get Therefore, a good strategy is to use analysis. In dimensional analysis, unit used to cancel out unwanted units and leave units. the following example: How many football fields on a 1 mile stretch of land? Here are the conversion factors: I football field = 100 yards 1 mile = 5280 ft 1 yard = 3 ft 17.6 football fields The conversion factor relating miles to meters is 1 mile = 1610m. The speed of light is 3.00 times 10^3 m/s. How fast is this in miles per hour (miles/h)? The conversion factor relating feet to meters is 1 ft = 0.305 m. Keep in mind that when using convers that like units cancel leaving you with the units you need. You have been told that a certain house is 164 m^2 in area. How much is this in square feet?

Explanation / Answer

PART A:

1 mile = 1610 m

Or 1610 m = 1 mile

or 1 m = (1/1610) mile

or (3 x 108) m = (3 x 108) x (1/1610) mile

                       = 186335.4 mile

1 h = 360 s

or 3600 s = 1 h

or 1 s = (1/3600) h

Now,

(3 x 108) m/s = 186335.4 mile / (1/3600) h

                     = 51.76 mile/h

PART B:

1 ft = 0.305 m

or 0.305 m = 1 ft

or (0.305 m)2 = (1 ft)2            [squaring both sides]

or 0.093025 m2 = 1 ft2

or 1 m2 = (1/0.093025) ft2

or 164 m2 = 164 x (1/0.093025) ft2

or 164 m2 = 1762.97 ft2

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