A company specializes in the shipment of pressurized gaseous materials. An order is received for 500 liters of a particular gas at (32°F and 1 atm). What minimum volume of tank is necessary to transport the gas at 90ºF and a maximum pressure of 10 atm?

Air is compressed in a diesel engine from an initial pressure of 13 psia and a temperature of 120°F to one-twelve of its initial volume. Calculate the final temperature assuming the compression to be adiabatic.

A shot is fired at an angle of 45° with the horizontal and velocity of 300 fps. Calculate to the nearest the range of the projectile.

A closed vessel contains air at a pressure of 200 KN/m? gauge and a temperature of 32°C. The ai is heated to 60°C with the atmospheric pressure of 750 mm Hg. What is the final gauge pressure?

A perfect venture with throat diameter of 2 in is placed horizontally in a pipe with a 6 in pipe diameter. What is the difference in static pressure if water flows 100 lb per second.

What is the water pressure id manometer is 0.8 m Hg? Mercury is 13.6 times heavier than water.

What is the density of a stone in kg/m® that weighs 90 N in air and 50 N in water?

A hoist with a 100 hp engine is capable of lifting a 10,000 lb load to a height of 20 feet in 10 second What is the efficiency of this machine?

An object is placed 3 feet from the center of horizontally rotating platform. The coefficient of frictic is 0.30. The object will begin to slide off platform speed is nearest too:

Two barges, one weighing 10 tons, the other weighing 20 tons are connected by a cable in qui water. Initially the barges are at rest 100 feet apart. If the cable is reeled in until the barges are 50 apart. If the friction is negligible, calculate the distance moved by the 10 ton barge.

Second law limitations on the maximum horsepower output unit burning 1,000,000 Btu/hr of fuel with high and low temperature extremes of 1540 deg F and 40 deg F is:

A high velocity flow of gas at 800 fUsec possesses kinetic energy nearest to which of the following?

55,000 gallons of water passes through a heat exchanger and absorbs 28,000,000 BTU. The exit temperature is 110 deg F. The entrance water temperature in deg F. The entrance temperature in deg F is nearest to:

Normal boiling point of liquid oxygen is 90°K. What is this temperature in deg R?

An open topped cylindrical water tank has a horizontal circular base 10 ft in diameter. When filled to a height of 8 feet, the force in Ibs exerted on its base is nearest to

A projectile weighing 100 lbs strikes the concrete wall of a fort with an impact velocity of 1200 ft/sec.The projectile comes to rest in 0.01 second, having penetrated the 8-foot thick wall to a distance of 6 fL. What is the average force exerted on the wall by the projectile?

A projectile launched at 2000 ft/sec from A at an angle of 30 deg with the horizontal, impacts at the same elevation at B. Assume no in-flight propulsion and no aerodynamic drag. Horizontal distance in miles between A and B is nearest to:

Air open chamber rests on the ocean floor in 160 ft of seawater (SG = 1.03). What air pressure in psig must be maintained inside to exclude water?

What head in feet of air, at ambient conditions of 14.7 psia and 68ºF, is equivalent to 2 psia?

From the third floor window of a building, the angle of depression of an object on the ground is 35°58', while from a sixth floor window, 9.75 m above the first point of observation the angle is 58°35'. How far is the object from the building?

A car in overtaking a trailer, uniformly accelerated its speed from 40 km/hr to 90 km/hr in 8 seconds. Calculate the distance travelled during the period of acceleration in meters.

The JRF corporation manufactures bookcases that sales for P65.00 each. It costs JRF corporation P35,000.00 per year to operate its plant. The sum includes rentals, depreciation charges on equipment, and salary payments. If the cost to produce one bookcase is P50.00, how many bookcases must be sold each year for the corporation to avoid taking a loss

The force of attraction between two electric charges varies inversely as the square of the distance between them If the force is 20 grams when they are 150 mm apart, find the force when they are 75 mm apart

A machine is purchased for P500,000.00. the salvage value in 25 years is P100,000.00. What is the depreciation in the first three years using straight line method?

How much must be deposited at 6% each year on January 1, year 1 in order to accumulate P5,000.00 on the date of the last deposit, January 1, year 6?

A 700 kg elevator starts from rest. It accelerates uniformly for 3s, at which time it reaches a speed of 1.8 m/s. What is most nearly the average power delivered by the elevator motor during the acceleration?

Determine the magnitude of the gradient at a point (1, 2, 3).

A particles position ( in inches ) along the x-axis after t seconds of travel is given by the equation: x =24ft squared – 3t cube + 10. What is the particle’s average velocity in in/sec. during the first 3 seconds?

A viaduct is traversed by a truck running at 15 mph at the same time that another truck traveling at a speed of 30 mph on the street 22 ft. below and at right angle to the viaduct approached the point directly below the viaduct from a distance of 55 ft. Find the nearest distance between the trucks. a. 44ft b. 24 ft c. 33ft . d. 22ft

MESL PROBLEM: The points A (1,0), B (9,2) and C (3,6) are vertices of triangle which of the following is an equation of one of medians?

MESL PROBLEM: A 100 g of water are mixed with 150 g of another fluid ( density = 790 kg/m3). What is the specific gravity of the resulting mixture, assuming that the volumes are additive and the mixture is homogeneous?

A projectile whose mass is 10 g is fired directly upward from ground level with an initial velocity of 1000 m/s. Neglecting the effects of air resistance, What will be the speed of the projectile when it impacts the ground?

How do you call the integral of any quotient whose numerator is the differential of the denominator?

MESL PROBLEM: Find the area of the triangle which the line 4x – 6y + 12 = 0 forms with the coordinate axes. A. 3 . B. 5 C. 10 D. 8

At 12:00 noon, boat A left the pier in the direction N. 10° E. at 36 nautical miles per hour. At 1:00 P.M. boat B left the same pier in the direction N. 70°E. at 28 nautical miles per hour. How fast were they separating at 2:00 P.M.?

A satellite orbiting the earth passes directly overhead stations in Pheonix and Los Angeles, 340 miles apart. At an instant when the satellite is between these two stations, its angle of elevation is simultaneously observed to be 60 deg at Pheonix and 75 deg at Los Angeles. How far is the satellite from Los Angeles ? A. 170 miles

In a survey concerning the smoking habits of consumer it was found the 55% smoke cigarette A, 50% smoke cigarette B, 20% smoke cigarettes A and C, 12% smoke cigarettes B and C, only 10% smoke all the three cigarettes. What percentage of the population did not smoke?

A ferris wheel has a radius of 10 m. Its center is 12 m. above the ground. When a passenger is 17 m. above the ground, he is moving at the rate of 1.81 m/s. What is the speed of rotation of the wheel in rpm?

Two houses A and B are to be connected to a water main 1200 m. long and it is desired to tap the main in one place only. If A and B are 300 m. and 900 m. from the main pipe respectively. Where the pipe must be tapped to use the least pipe.

In planning the seating capacity of a certain review center, it is estimated that if there are 40 to 80 reviewees enrolled, the annual profit will be P80 per head. However if the seating capacity is above 80, the annual profit per head would be 80, the annual profit per head would be decreased by 40 centavos times the number of reviewees above 80. What should be the seating capacity in order to yield the greatest annual profit?

The cost of manufacturing an engine parts is P300 and the number which can be sold varies inversely as the fourth power of the selling price. Find the selling price which will yield the greatest total net profit.

The LRT System runs from the Bonifacio Monument to Baclaran for a total distance of 15 km. The cost of electric energy consumed by a train per hour is directly proportional to the cube of its speed and is P250 per hour at 50 kph. Other experience such as salaries, depreciation, overhead, etc, amounts to P1687.50 per hour. Find the most economical speed of the train in kph.

A rectangular flume is 13 cm wide and 7 cm high. The freeboard is 25% of the flume height. What is the hydraulic radius?

The economic order quantity (EOQ) is defined as the order quantity which minimizes the inventory cost per unit time. Which of the following is not an assumption of the basic EOQ model with no shortages?

The radius of a circle which is escribed outside the triangle is 12 cm and its tangent to the 18 cm side of the triangle. The other side of the triangle is 24 cm, if the area of the triangle is 216 cm2 , find the 3rd side of the triangle.

A cable is to be run from a power plant on one side of a river 900 m. wide to a factory on the other side 3 km. away upstream. The cost of running the cable overland is P4 per meter while the cost under water is P5 per meter. What is the length of the cable overland which is most economical?

A12 balloon is rising vertically over point A on the ground at the rate of 15fps. A point B on the ground is level with 30ft from A , At what rate is its distance from B changing if the balloon is 40 ft from A?

The sum of two numbers is 12. Find the minimum value of the sum of their cubes.

A bomber plane, flying horizontally 3.2 km. above the ground, is sighting on at a target on the ground directly ahead. The angle between the line of sight and the path of the plane is changing at the rate of 5/12 rad/min. When the angle is 30°, what is the speed of the plane in mph?

An air tight closed box of weight P is suspended from a swing balance. A bird of weight W is placed on the floor of the box, and balance reads W + P. If the bird flies around the box at a constant elevation without accelerating, what is the balance reading?