Machinery: Approximately how many acres are in a rectangular field measuring 1940meters by 0.75miles? 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 livestock barn. The circuit includes four 100-watt lights, five 150-watt lights, and six 60-watt lights. What is the amperage of the circuit with all of these lights operating? Total Wattage = Voltage x Amperage

Compact Equipment: A 25 horse power single-cylinder engine is operating at 3,480 feet above sea level. What approximate horsepower can be produced by the engine if the engine’s power is reduced 1.5 percent for each 1000 feet of elevation above sea level?

Structural: Steel angle iron is sold for $1.46per linear foot, steel rod is sold for 94 cents per linear foot, and steel pipe is sold for $2.76 per linear foot. If 35.5feet of angle iron, 12 feet of rod, and 100 inches of pipe are purchased, and 7% taxes are paid with the purchase, what is the approximate total price for the metal?

Environmental: Refer to theenlarged view of contour lines (in feet) on the topographic map at the right of the page. What is the elevation change between the lines identified by the tips of the two arrows?

Environmental: A10 horsepower pump is required to produce the desired flow rate for water. The new piping/plumbing system that will beused will reduce the efficiencyof apump12 percent. If the manufacturer of the pump being purchased recommends a 10 percent oversizing of horsepower to compensate for pump inefficiency, what approximate size water pump should be purchasedfor this situation?1.00 = 100%

Machinery: A portable irrigation pump has a 5.5-inch diameter pulley that must turn at approximately 400 revolutions per minute (rpm). The shaft of the tractor’s PTO that powers the pump rotates at 540 rpm and rotates the pump using a belt and two-pulley system. What is the approximate diameter of the pulley needed on the PTO shaft to turn the pulley on the pump at 400 rpms? Pulley Size Formula: (Diameter of Pulley 1 x Speed of Pulley 1) = (Diameter of Pulley 2 x Speed of Pulley 2)

Electrical: A water pump for stock tanks has an electrical motor that operates at 120 volts and uses 13.8amps of current. If it is a 1.5horsepower motor and it operates with a power factor of 0.92, what is the approximate efficiency of the motor? 1 horsepower= 746 Watts horsepower = (voltage x amperage x power factor x efficiency) / 746

Compact Equipment: Which of the following will have the greatest weight in pounds: 4.6 gallons of gasoline, 4.1gallons of diesel, 3.8 gallons of 15W-40 engine oil, or 3.9gallons of automatic transmission fluid? 1 gallon of gasoline = 6.3 pounds 1 gallon of diesel = 6.943pounds 1gallon 15W-40 engine oil = 7.3 pounds 1 gallon automatic transmission fluid = 7.298 pounds

Structural: Which of the following quantities of lumber has the least number of board-feet?1 board-foot =144 cubic inches 1 square foot = 144 square inches

Structural: Four solid round steel rods are 12 feet long and each have a diameter of 2.5 inches. If the rods have a cross sectional tensile strength of 70,000 pounds per square inch, what is the combined maximum tensile strength (approximate value in pounds) for all four rods?Area of a circle= (π) x(radius)2π = 3.14 radius = (diameter ÷2)

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 slope of the land area expressed as a percentage. What is the approximate slope (percentage) of the land that changes elevation from 1875 feet to 1384 feet over a distance of 1.24 miles? Slope = (Rise÷Run) x (100% / 1)

Machinery: What is the approximate speed, in miles per hour, for a fertilizer spreader that travels 110 meters in 1 minute and 6.5seconds?5,280 ft = 1 mile 60 seconds = 1 minute 60 minutes = 1 hour 1 foot = 0.3048 meter

Electrical: A 240-volt air conditioning unit uses 63 kilowatt hours of power during 24 hours of operation. What is the approximate size of this air conditioning unit in tons of refrigeration(disregard efficiency)? One ton of air conditioning removes heat at the rate equivalent to melting one ton of ice during a period of 24 hours.Information: British Thermal Unit (BTU): 3412.14BTUs = 1 kilowatt hour 1 Ton of Refrigeration = 12,000 BTUs / hour(the rate of heat removal)

Compact Equipment: An engine manual requires each head bolt to be torqued to 13 Newton meters (Nm) during reassembly. The torques wrench available is calibrated in foot pounds (ft. lbs.). What approximate torque in ft. lbs. is equivalent to 13Nm? 4.44822 Newtons = 1 pound force 0.22481 pound force= 1 Newton 1 meter = 3.28084 feet 1 foot = 0.3048 meters

Compact Equipment: A gasoline mower’s power take off (PTO) produces 18 horse power and turns at 540 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 0.75cubic yards of concrete are needed to fill the pipe that is 10 feet 9 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: Water flows through 97.5feet of horizontal pipeline that includes three 90 degree elbows. The water flow rate is 5.5 gallons per minute (GPM) where the water exits the 97.5-foot pipeline. The pressure loss through the pipeline is equivalent to 6.6vertical feet of head (pressure) loss per 100 feet of horizontal run. The head loss through each elbow is equivalent to that of 4.9feet of additional horizontal length and there are no water leaks. Approximately, what is the water flow rate at the source and what is the equivalent vertical head (pressure) loss for this horizontal pipeline?

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 2.75inches and a stroke of 34.5inches. The tractor’s hydraulic system produces a maximum pressure of 3,200 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 50 BTUs per square-foot of floor area to adequately heat the interior.If the interior dimension of the rectangular building is 26.75feet by 13 yards and the model of furnace being purchased is 87% 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

Compact Equipment:Each cylinder in a four-cylinder tractor engine has a bore (diameter) of 2.85 inches and a piston stroke of 4.25 inches. What is the approximate total displacement of this engine in liters? Area of a cylinder bore = (π) x(radius)2π = 3.14 radius = (diameter ÷2) Volumetric displacement of a single cylinder = (length of piston stroke) x (the area of the cylinder bore) 1 liter = 61 cubic inches 1 cubic inch = 0.0164 liter

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 a greenhouse measures 40 feet by 80 feetand the walls and roof are made of plastic sheeting stretched overplastic pipe hoops positioned as half circles. The hoops give the greenhouse a perfect half cylinder shapewith each hoop having a diameter of 40 feet.In cubic feet per minute, what is the approximate size fan needed to ventilate the greenhouse? Volume of a cylinder = (π) x(radius)2 x length π = 3.14 diameter = (2 × radius)

Environmental: A field has a legal land area of 100 acres with horizontal measurements being 800 feet by 5,445 feet. The 800-foot dimension is flat (horizontal), but the longer dimension has a gradual elevation change from 2006 feet to 2998 feet. Although the legal land area is 100 acres, the sloped surface area must be used when calculation fertilizer,pesticide, and seeding applications. What is the approximate area, in acres, for the sloped surface of the field? Calculating length of side for right triangle uses the Pythagorean Theorem: a2+ b2= c2 Area of rectangle = Length x Width 1 acre = 43,560 square 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 38.5-inch outside diameter and the new larger tires have a 44.8-inch outside diameter, what is the approximate speed of the tractor (miles per hour, with larger diameter tires) when the tractor's mechanical speedometer displays 15miles per hour? Assume all tires are properly inflated, tires have no slippage, and the speedometer is still calibratedfor the smaller diameter tires. Circumference of a circle = (2)x (π) x (radius) π = 3.14 diameter of circle = (2) x (radius)