<p> Conversion Factor Quiz</p><p>Solve the following problems using conversion factors. Be sure to show your work including the conversion factor/s used.</p><p>1. Katana Summit needs to buy steel for it’s wind turbine towers, the measurements for the towers are all in mm. If a can is made from one sheet of steel and the can has the dimensions of 8000 mm X 15000 mm, what are the dimensions of the steel sheet in feet?</p><p>2. A hydroelectric plant needs to know how many cubic centimeters of water are in 1 acre/foot of water. There are 555 X 109 gallons in an acre/ft., 1 gallon is equal to 3.785 Liters, and 1cc is equal to 1 mL. Make this conversion be sure to show all your conversion factors.</p><p>3. In industries, such as Behlen Mfg. Co., buying and selling of steel products is global so they must not only convert metric measurements but also money. If they are selling a $25,000 structure to a company in Germany how many Euros would that be? $1 is equal to 0.8112 Eros.</p><p>4. What is the tip speed, in miles per hour, of a turbine blade with a radius of 41 m, and the blade revolves at 14 rpms. (circumference = pi X diameter) 1m = 39.37 in, 1mile = 5280 ft.</p><p>5. Steel is priced by hundred weight (cwt) which is 100 lb. of steel. A building requires 34,956 sq. ft. of .25 in. thick steel, the steel has a density of 0.284 lb/in3 . How much steel is that in cwt? If the price is $53.4/cwt what is the cost of the steel for this building?</p><p>6. Katana Summit must build a tower for a wind turbine with blades that are 131 feet long. The tower is twice as tall at the blades are long how many meters tall must the tower be</p><p>Answer Key to quiz problems:</p><p>© 2010 Board of Regents University of Nebraska 1) 8000 mm X 1m/1000 mm = 8 m X 3.28 ft/m = 26.24 ft. Wide 15000 mm X 1m/1000 mm = 15 m X 3.28 ft/m = 49.2 ft. Long</p><p>2. 555 x 109 gallon X 3.785 L / gal = 2.100675 X 1012 L X 1000 mL/ L = 2.100675 X 1015 mL = 100675 X 1015 cc.</p><p>3. $25,000 X 0.8112 Euros/ $1 = 20,280 Euros</p><p>4. 41 m X 2 = 82 m X 3.14 = 257.48 m/ revolution X 14 revolutions/ min = 3604.72 m/min X 60 min/ hr = 216,283.2 m/ hr X 39.36 in/m = 8512906.8 in/hr X 1 ft/12 in = 709408.9 ft/hr X 1 mi/ 5280 ft. = 134.4 mi/hr.(there are other ways of making this conversion)</p><p>5. 34,596 ft2 X 144 in2 / ft2 = 4,981,824 in2 X .25 in = 1,245,456 in3 X 0.284 lb/ in3 = 353,709.5 lb X 1 cwt/ 100 lb = 3,537.1 cwt X $53.4/ cwt = $188,880.88</p><p>6. 131 ft X 12 in/ ft = 1572 in X 1 m/ 39.36 in = 39.94 m X 2 = 79.9 or 80 m </p><p>© 2010 Board of Regents University of Nebraska</p>