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Unit Conversions with the Factor-Label Method. Three Simple Steps. Many engineering problems require unit conversions. For exam-ple, beam problems in Strength of Materials include beam lengths in feet (or meters), and beam depths and widths in inches (or mil-limeters).
How to solve unit conversions using Dimensional Analysis (Factor Label Method) 1. Write the number with unit that is given in the problem 55mm. 2. Write a multiplication symbol and a fraction line 55mm x ----------. 3. Write the same unit as the number given in the denominator spot 55mm x -----------. mm.
UNIT CONVERSIONS AND CTOR-LABEL METHOD Name k.other method of going from one unlt to another Involves multiplying by a conversion factor. A conversion factor Is a fraction that Is equal to the number 1. For example, 60 seconds 1 hour. Therefore, 60 sec/ 1 hr or I hr/60 sec = 1.
Practice Problems on Unit Conversion Using Dimensional Analysis (Factor Label Method) These are practice problems. It is assumed that you have already been introduced to the method of “dimensional analysis.” Answers are provided at the end of this document.
Do these unit conversion problems by the factor label method on the “Unit Conversion Examples” handout. We also used this method in class when we converted measurements in hands to centimeters. Be sure to show every step in the unit conversion process! Also, pay attention to significant figures.
In Engineering disciplines, we use the three-step Factor-Label Method of Unit Conversion to solve algebraic problems with mixed units. Step 1 Write the algebraic equation so the desired quantity is on the left of the equals sign, and an algebraic expression is on the right of the equals sign.
Solve the following using the Factor-Label Method. Show complete setup and ALL units !!! 500. cm = ? m 2) 1.00 x 104 mL = ? dL 4 2 2 1.00 10 1 1.00 10 100. 10 mL dL dL or dL mL u u u 3) 7.20 ft = ? cm 4) 2.00 lbs = ? kg 3 2.00 454 1 0.908 1 10 lbs g kg kg lbs g u u
