WORKSHEET # 2
THE GIANT LOCOMOTIVE
PROBLEM
A. The fuel tank of the train’s locomotive holds 3050 gallons of diesel fuel. Convert this volume to
milliliters (mL) given that one gallon is 3.785 L
B. The fuel (whose volume you found in mL in the previous problem) has a density of 0.767 g/cm3.
Determine the weight of a full tank of fuel in pounds. One mL is exactly equal to one cm 3.
C. To give it strength and weight, the locomotive is built on a huge steel plate. The plate is 65 feet
long, 10.5 feet wide and 1 inch thick. Calculate the volume of this plate in cm3 and ft3.
(Note: 1 inch = 0.0833 feet)
D. If steel has a density of 7.95 g/cm3, determine the total weight in tons of the steel plate in the
previous problem.
E. The highest speed limit for the train is 79 miles/hour. Assuming that the train maintains this speed
for a distance of 205 Km, calculate the time for the trip in (a) hours and (b) seconds
F. The locomotive burns fuel at a rate of 3.5 gallons per minute when travelling at 79 miles per hour.
Using this information, calculate the rate of burning fuel in units of mL/cm. (Note: 1 gallon = 3.785 L)
G. EXTRA CREDIT (4 points)