2023 Ag Mech Problem Solving

How many pieces of ½” drywall (4’ x 8’) are needed to cover the ceiling of a room that measures 32 feet wide and 48 feet long?

• 24

• 32

• 48

• 1536

A round concrete column (cylinder) is 15 feet 6 inches in height, the approximate diameter of the column is 21.9 inches, how many yards of concrete are needed to complete this pour?

• 1.5 yards

• 1.8 yards

• 10.95 yards

• 40.5 yards

The cost of electricity is 12.75 cents per kilowatt hour (kwh) for the first 1000 hours and 13.9 cents for each kwh greater than 1000 hours. If a pump uses 6.75 kilowatts per hour and it operates 22 days each month for 12 hours each day, what is the approximate monthly kwh charge to operate the pump?

• $ 196.30

• $ 236.20

• $ 274.10

• $ 314.00

A hydraulic cylinder that operates the arm of a skid steer loader has a bore diameter of 3 inches and a stroke of 36 inches. The tractor’s hydraulic system produces a maximum pressure of 2,900 pounds per square inch. Approximately, what is the maximum force the cylinder can exert on the lift arm?

• 11,099 pounds

• 14,811 pounds

• 17,644 pounds

• 20,488 pounds

An 18-wheel tractor trailer is used for hauling hogs to market and cannot legally exceed a total weight of 80,000 lbs. The empty tractor trailer weighs 33,000 lbs. What is the maximum number of 280-pound hogs that can be hauled to market with this tractor trailer?

• 117

• 118

• 167

• 168

A water pump has a 3.5-inch diameter pulley that must turn at 1000 revolutions per minute (rpm). The shaft of an electric motor rotates at 1725 rpm and powers the belt that turns the pump's pulley. What is the approximate diameter of the pulley needed on the motor shaft to turn the pump at 1000 rpm?

• 1.0 inches

• 1.3 inches

• 1.7 inches

• 2.0 inches

Three incandescent light bulbs (100 Watts, 200 Watts, 300 Watts) are operating properly in a 120-volt electrical circuit. If each bulb operates at 120 volts, which of the following statements is correct in regard to the operation of the bulbs?

• All three bulbs operate at the same amperage.

• All three bulbs have the same electrical resistance.

• The 100-watt light bulb has less electrical resistance (ohms) than the 200- or 300-watt light bulbs.

• The 100-watt light bulb has more electrical resistance (ohms) than the 200- or 300-watt light bulbs.

What is the approximate speed, in miles per hour, for a planter that travels 100 meters in 39.5 seconds? 5,280 ft = 1 mile; 3600 seconds = 1 hour; 1 foot = 0.3048 meter

• 3.44 miles per hour

• 4.55 miles per hour

• 5.66 miles per hour

• 6.77 miles per hour

If an animal waste storage tank measures 60 feet wide by 33 yards long, approximately how deep must the container be to hold 250,000 gallons of liquid? 1 gallon = 0.133681 cubic feet; 1 yard = 3 feet; 1 cubic foot = (1 foot x 1 foot x 1 foot)

• 2.90 feet

• 3.41 feet

• 4.92 feet

• 5.63 feet

Which of the following quantities of lumber has the greatest number of board-feet? 1 board-foot = 144 cubic inches; 1 square foot = 144 square inches

• 13 boards measuring 1 inch by 6 inches by 12 feet

• 11 boards measuring 1 inch by 8 inches by 12 feet

• 12 boards measuring 2 inches by 4 inches by 10 feet

• 9 boards measuring 2 inches by 6 inches by 8 feet