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Workshop: Dimensional Analysis
In this workshop, we will use a group problem-solving method called a round robin. The round robin method helps people to work together and feel comfortable with group problem solving.
Use dimensional analysis and the group Round Robin to answer each question. Record your solutions and notes in the spaces provided on this worksheet. Turn-in the worksheet when completed.
1. Use the dimensional analysis (unit conversion, factor label) problem-solving method to answer the following questions.
a. How many nickels would you get for a twenty dollar bill?
b. How many hours are in a week?
c. How many revolutions does the hour hand on a clock make in a year?
2. Find the number of centimeters in 1.00 x 102 yards.
3. Determine the number of meters in 1.00 mile.
4. The speed of light is 1.86 x 105 miles per second. How many meters will light travel in 1.0 second?
5. Calculate the number of seconds in a year.
6. A light year is the distance that light travels in one year. Determine the number of miles, meters, and kilometers in one light year.
7. A single layer of gold atoms forms a surface whose dimensions are 1.0 x 103 angstroms by 1.0 x 103 angstroms. 1 angstrom = 10–10 meter.
a) What is the area of this surface in square angstroms?
b) What is the surface area in square centimeters?
8. The units of the chain system of measure, used by surveyors, are as follows:
The distance of the Kentucky Derby, a classic horse race, is 1.25 miles. How is this distance expressed in furlongs?
9. A cube that has a length of 1 cm on each side has a volume of 1 cm3. How many cubic centimeters are in 1 cubic meter? (Hint: The answer is not 100.)
This material is based upon work supported by the National Science Foundation under Grant Number 1246120