2024 Ag Mech Problem Solving

Mrs. Riley has constructed a greenhouse that is 30’ wide and 100’ long; she plans to install a lighting system that will use 100 watts per 100 ft² of greenhouse. The lights will be on for 12 hours each day. If the cost of electricity is 13 cents per kWh, what would be the cost of operating the lights for 30 days?

• $4.68

• $36

• $140.4

• $153.60

Tags

NGSS.MS-PS3-4

To complete a pour of 4 round concrete columns (7 feet high and 24 inches in diameter), how many yards of concrete are needed?

• 3.25 yards

• 5.5 yards

• 22 yards

• 88 yards

A pesticide label indicates an application rate of 4.5 ounces per acre. Approximately how many acres will a 2.5-gallon container of this pesticide formulation treat? Note: 1 gallon = 128 ounces

• 17

• 28

• 71

• 82

A meter indicates that 4691 Watts of power (induction load) is used by an eight-horsepower electric motor when it is connected to 215 volts and operates at 24 amps. What is the approximate power factor for this motor?

• 0.74 power factor

• 0.91 power factor

• 1.09 power factor

• 8.95 power factor

An 18-wheel tractor trailer is used for hauling cattle 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 600-pound feeder calves that can be hauled?

• 55

• 78

• 80

• 133

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 1525 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?

• 1.3 inches

• 2.3 inches

• 2.7 inches

• 3.0 inches

Tags

NGSS.MS-PS2-1

What is the pitch of a roof that contains rafters that rise 54” over a 216” span?

• 3 12

• 4 12

• 5 12

• 6 12

What is the approximate speed, in miles per hour, for a planter that travels 63 feet in 10 seconds?

• 3.4 miles per hour

• 4.3 miles per hour

• 5.6 miles per hour

• 6.7 miles per hour

Tags

NGSS.MS-PS3-1

If a center pivot irrigation system is 0.25 mile long, approximately how many acres can be irrigated under the pivot's boom during 360 degrees of travel?

• 40

• 125

• 314

• 1320

A thermometer calibrated in degrees Celsius (ºC) is used to measure the temperature during a feed processing operation that requires heating to 200 degrees Fahrenheit (ºF). What temperature on the Celsius thermometer is approximately equal to 200 ºF?

• 39.22

• 92.22

• 93.33

• 392