Machinery: Approximately how many acres are in a rectangular field measuring 2147yardsby 984meters? 1 acre = 43, 560 square feet 1 hectare = 2.47 acres 1 acre = 0.4045 HectaresArea of Rectangle = length xwidth 1 mile= 5,280feet 1 foot = 0.3048 meter

Electrical: A variety of incandescent lights are all operating on a single 120-volt electrical circuit in a livestockbarn. The circuit includes six150-watt lights, two300-watt lights, and twelve40-watt lights. What is the amperage of the circuit with all of these lightsoperating?Total Wattage = Voltage x Amperage

Compact Equipment: A 12horse power single-cylinder engine is operating at 5,150feet above sea level. What approximate horsepower can be produced by this engine if the engine’s power is reduced 1.75 percent for each 1000 feet of elevation above sea level?

Structural: Steel angle iron is sold for $1.79per linear foot, steel tubing is sold for $2.11 per linear foot, and rebar is sold for 38cents per linear foot. If 112feet of angle iron, 95feet of tubing, and twelve 20-foot lengths of rebar are purchased, and 6.67% taxes are paid with the purchase, what is the approximate total price for the metal?

Environmental: Water flows through 119 feet of pipeline that includes five 90 degree elbows. The water flow rate is 5.25 gallons per minute where the water exits the 119-foot pipeline. The pressure loss through the pipeline is equivalent to 6.5vertical feet of head (pressure) loss per 100 feet of horizontal run. The head loss through each elbow is equivalent to that of 4.25 feet of additional horizontal length. What is the approximate vertical head (pressure) loss for this horizontal pipeline?

Environmental: If a center pivot irrigation system is 0.5 mile long (has a 0.5 mile radius), approximately how many acres can be irrigated under the pivot's boom during 360 degrees of travel? Information: Area of a circle= (π) (radius)2π = 3.14 diameter = 2 radius 1 acre = 43,560 square feet 1 mile = 5,280 feet

Machinery: A utility tractor is re-equipped with high profile tires (larger diameter than the factory equipped tires). If the original tires had a 38.9-inch outside diameter and the new larger tires have a 44.6-inch outside diameter, what is the actual speed of the tractor when the tractor's mechanical speedometer displays 25miles per hour? Assume all tires are properly inflated, tires have no slippage, and the speedometer is still calibrated for the smaller diameter tires. Information: Circumference of a circle = (2) x (π) x (radius) π = 3.14 diameter of circle = (2) x (radius)

Electrical: The monthly charge to operate an electric pump 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 the pump uses 9.25 kilowatts per hour and it operates 25 days each month for 8 hours each day, what is the approximate monthly kWh charge to operate the pump?Information: 1 kilowatt = 1000 Watts 100 cents = $1.00

Compact Equipment:A planter has a 24-foot effective swath width, it travels at 5.25miles per hour, and it operates with a field efficiency of 88.5percent. What is the approximate effective field capacity (EFC) of the planter in acres per hour?Information: EFC = (width of implement in feet x speed in miles per hour x efficiency)/8.25

Structural: Which of the following will have the greatest weight: 0.0039 acre-feet of water,170 cubic-feet of water, 1275 gallons of water, or 4850 liters of water? Information: 1 cubic foot of water = 62.43 pounds 1 gallon of water = 8.34pounds 1 liter of water = 2.20 pounds 1 acre-foot water = 43,560 cubic feet of water

Structural: 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

Environmental: The Universal Soil Loss Equation is composed of six factors to predict the long-term average annual soil loss and one of those values is the slope of the land area expressed as a percentage. What is the approximate slope (percentage) of the land that changes elevation from 2255 feet to 1876 feet over a distance of 1.58miles?Slope = Rise÷Run x (100% / 1)

Machinery: What is the approximate speed, in miles per hour, for a fertilizer spreader that travels 200 yards in 43.5seconds? 5,280 ft = 1 mile 60 seconds = 1 minute 60 minutes = 1 hour 1 foot = 0.3048 meter

Electrical: An electric water heater uses 1910 kilowatt-hours (kWh) of power each day. If electric power cost 14.75 cents per kWh, approximately how much energy (in therms) does this water heater use during 60 days of operation? Information: 1 kWh = 3412 BTUs of energy 1 therm of energy = 100,000 BTUs of energy

Compact Equipment: Each cylinder in a four cylinder engine has a circumference of 11.6inches and a piston stroke of 6.5inches. What is the approximate total displacement of the engine in liters?Information: 1 liter = 61 cubic inches Circumference of a circle = 2 x π x radius Area of a cylinder bore = π x radius2 π = 3.14 radius = diameter ÷2 Displacement of a single cylinder = (length of piston stroke) x (the area of the cylinder bore)

Compact Equipment: A gasoline mower’s power takeoff (PTO) produces 25 horsepower and turns at 1000 revolutions per minute. Approximately how much torque, in foot-pounds, can this PTO produce?Torque in foot-pounds= (PTO Horsepower x 5252) / (Revolutions/ Minute)

Structural: Concrete is poured inside a vertical pipe to provide rigidity to the pipe. If 1.25cubic yards of concrete are needed to fill the pipe that is 12 feet 5 inches tall, what is the approximate inside diameter of the pipe in inches? 1 cubic yard = 27 cubic feet 1 cubic foot = 1728 cubic inches 1 foot = 12 inches Volume of cylinder = pi × (cylinder radius)2 × cylinder height pi= 3.14 diameter = (2 × radius)

Environmental: A thermometer calibrated in degrees Celsius (ºC) is used to measure the temperature during a feed processing operation that requires heating to 240 degrees Fahrenheit (ºF). What temperature on the Celsius thermometer is approximately equal to 240 ºF? Information: ºF = (9/5 ºC) + 32 ºC = 5/9 (ºF -32) Water freezes at 32 ºF

Machinery: Each of two hydraulic cylinders raise and lower the arms that operate the bucket on a skid steer loader. Each cylinder has a bore diameter of 3.25inches and a stroke of 36 inches. The tractor’s hydraulic system produces a maximum pressure of 3,600 pounds per square inch. Approximately, what is the maximum combined force that these two cylinders can exert on the lift arms? Area of a cylinder bore = (π) x(radius)2π = 3.14 Force = Pressure x Area radius = (diameter ÷2)

Electrical: A farm building that is poorly insulated is located in a zone of the U.S.that typically requires 45 BTUs per square-foot of floor area to adequately heat the interior.If the interior dimension of the rectangular building is 80 feet by 24 feet and the model of furnace being purchased is 90% efficient, what approximate size furnace is required? Information: Furnace output is rated in British Thermal Units (BTUs) 1 yard = 3 feet Furnace Size in BTUs = (Number of square feet x Number of BTUs per square foot)/Furnace Efficiency

Electrical: The interior electrical lighting of a farm structure is being replaced with high efficiency lighting. The 36 incandescent,100-Watt lights will be replaced with 36 LED,40-Watt lights. If the lights are operated 100 hours per month and electricity cost 12.75 cents per kilowatt-hour (kWh), what is the approximate reduction in electrical power costs each month? 1000 Watts = 1 kilowatt

Compact Equipment: A rectangular shaped plastic hopper is used to transportgranular fertilizer in bulk. This hopper is transported on a trailer with a 4500-pound maximum load carrying capacity. The internal dimensions of the hopper are 7.25 feet wide, 8.25 feet long and 4.5 feet deep. What is the maximum weight in pounds per cubic foot (approximate value) that granular fertilizer can weigh and completely fill the hopper, while still transporting the load within safe limits? 1 gallon = 231 cubic inches 1 cubic-foot = 1728 cubic-inches Volume of rectangular prism= Length xWidthxHeight

Structural: Intake and/or exhaust fans should have the capacity in cubic feet per minute to adequate exchange the air in a greenhouse every three minutes. The rectangular floor of the greenhouse measures 36feet by 60 feet and the walls/roof is made of plastic sheeting stretched over plastic pipe hoops positioned as half circles. The hoops give the greenhouse a perfect half cylinder shape with each half-circle hoop having a diameter of 36feet.In cubic feet per minute, what is the approximate size fan needed to ventilate the greenhouse? Volume of a cylinder = (π) x(radius)2x length π= 3.14 diameter = (2 × radius)

Environmental: A 21-foot length of un-threaded black pipe is to be cut into 11 pieces of equal length. Both ends of the 21-foot pipe are already cut square (90 degrees) and the 11 pieces will also have square cut ends. The metal saw being used cuts a kerf (material removed by saw blade) that is 1/8 inch wide. Other than the material lost by the saw kerf, none of the pipe is wasted or unused in cutting the 11 pieces of equal length. What is the approximate length (in feet, inches and fraction of an inch) of each piece of the pipe. Information: 1 foot = 12 inches 5/32inch = 0.15625inch

Machinery: A water pump has a 6.75-inch diameter pulley that must turn at 1150 revolutions per minute (rpm). The shaft of an electric motor rotates at 1725 rpm and powers the belt that operates the pump. What is the approximate diameter of the pulley needed on the motor shaft to turn the pump at 1150 rpms? Pulley Size Formula: (Diameter of Pulley 1 x Speed of Pulley 1) = (Diameter of Pulley 2 x Speed of Pulley 2)