Name:
Date:
Gavilan College AMT
Math
Worksheet #2
Points: 18
1. Below is the equation for an engines Thermal Efficiency:
Thermal Efficiency 
BHP  33,000
lbs of fuel consumed per min ute  18,880  778
BHP = 135
Fuel consumption = 12 gallons per hour

Notes:
A gallon of fuel = 6 lb
1 hour = 60 minutes
Thermal Efficiency is expressed in %
Thermal Efficiency is typically in the range of 20% to 30%
Thermal Efficiency (in percentage)?
2. What is the output speed of a gear reduction system with input speed of 1000 RPM and
reduction ratio of 4:1?
3. What is the wing aspect ratio of a wing with a span of 40 feet and cord of 60 inches?
4. 60 is what percentage of 200?
5. How much tax is due on $120 with a tax rate of 8.5%?
6. 272 =
7. 113 =
8. What is the square root of 30?
9. 7 X 103 X 3 X 10-3 =
10. What is the area of a square with a side of 7 inches?
11. What is the area of a 9 inch X 13 inch rectangle?
12. What is the area of a circle with a radius of 4 inch?
13. What is the volume of a 3 inch X 4 inch X 5 inch box?
14. What is the volume of a cylinder with a 3.5 inch radius and 4 inch height?
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15. The cylinder of an engine has a stroke (height) of 4 3/8” and bore (diameter) of
5 1/8”. What is the displacement of a single piston?
16. A four-cylinder engine has a stroke (height) of 4 3/8” and bore (diameter) of 5 1/8”.
What is the displacement of the engine?
(Note: The displacement of an engine is the total displacement of all the cylinders)
17. A cylinder has a displacement of 50 in3 and combustion chamber of 8 3/8 in3. What is
the compression ratio?
(Note: Compression ratio = (Displacement of one cylinder + combustion chamber
space)/combustion chamber space)
18. 200 eggs are placed into egg cartons (12 eggs per carton). After filling as many cartons
as possible, how many eggs are leftover?
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