Q5-The efficiency of a 200 KVA, single phase transformer is 98% when operating at full load 0.8lagging p.f. the iron losses in the transformer is 2000 watt. Calculate the i) Full load copper losses ii)half load copper losses and efficiency at half load. Ans: 1265.306 watt, 97.186%

Step 1: Given: Transformer ratingEfficiency at full loadPower factorIron losses (P0)=200…

Answered: Q5-The efficiency of a 200 KVA, single…

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter3: Introduction To Linear Programming

Section: Chapter Questions

Problem 51RP

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(Civil eng.) The maximum load that can be placed at the end of a symmetrical wooden beam, such as the rectangular beam shown in Figure 2.20, can be calculated as the following: L=S1dc L is the maximum weight in lbs of the load placed on the beam. S is the stress in lbs/in2. I is the beam’s rectangular moment of inertia in units of in4. d is the distance in inches that the load is placed from the fixed end of the beam (the “moment arm”). c is one-half the height in inches of the symmetrical beam. For a 2” × 4” wooden beam, the rectangular moment of inertia is given by this formula: I=baseheight3=12=24312=10.674 c=(4in)=2in a. Using this information, design, write, compile, and run a C++ program that computes the maximum load in lbs that can be placed at the end of an 8-foot 24 wooden beam so that the stress on the fixed end is 3000lb/in2. b. Use the program developed in Exercise 9a to determine the maximum load in lbs that can be placed at the end of a 3” × 6” wooden beam so that the stress on the fixed end is 3000lb/in2.
(Thermodynamics) The work, W, performed by a single piston in an engine can be determined by this formula: W=Fd F is the force provided by the piston in Newtons. d is the distance the piston moves in meters. a. Determine the units of W by calculating the units resulting from the right side of the formula. Check that your answer corresponds to the units for work listed in Table 1.1. b. Determine the work performed by a piston that provides a force of 1000 N over a distance of 15 centimeters.
(Civil eng.) Modify the program written for Exercise 9 to determine the maximum load that can be placed at the end of an 8-foot I-beam, shown in Figure 2.21, so that the stress on the fixed end is 20,000lbs/in2. Use the fact that this beam’s rectangular moment of inertia is 21.4 in4 and the value of c is 3 in.
(Mechanical eng.) The minimum radius required for a cylindrical rod, such as one supporting a bicycle pedal (see Figure 2.22), to provide enough support for the pressure exerted by the rider’s foot yet not exceed the stress placed on the crank arm’s sprocket attachment, is given by this formula: r3=dPS r is the radius of the cylindrical rod in inches. d is the length of the crank arm in inches. P is the weight placed on the pedal in lbs. S is the stress in lbs/in2. Using this information, design, write, compile, and run a C++ program that computes the value of r for a crank arm that’s 7 inches long, accommodates a maximum weight of 300 lbs, and is able to sustain a stress of 10,000 lbs/in2.
(Oceanography) The pressure, P, exerted on an underwater object can be determined by this formula: P=gh is the density of water, which is 1.94slug/ft3 . g is the acceleration caused by Earth’s gravity, which is 32.2ft/sec2. h is the object’s depth in the water in feet. a. Determine the units of P by calculating the units resulting from the right side of the formula. Check that your answer corresponds to the units for pressure listed in Table 1.1. b. Determine the pressure on a submarine operating at a depth of 2500 feet.
(Chemistry) a. Determine the final units of the following expression, which provides the molecular weight of 1.5 moles of hydrogen peroxide: 1.5moles34.0146grams/mole b. Determine the final units of the following expression, which provides the molecular weight of 5.3 moles of water: 5.3moles18grams/mole
(General math) Consider the following programming problem: In 1627, Manhattan Island was sold to Dutch settlers for $24. If the proceeds of this sale had been deposited in a Dutch bank paying 5% interest, compounded annually, what would the principal balance be at the end of 2002? The following display is required: “Balance as of December 31, 2002 is: xxxxxx”; xxxxxx is the amount calculated by your program. a. For this programming problem, how many outputs are required? b. How many inputs does this problem have? c. Determine a formula for converting input items into output items. d. Test the formula written for Exercise 5c, using the data given in the problem statement.

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Q5-The efficiency of a 200 KVA, single phase transformer is 98% when operating at full load 0.8 lagging p.f. the iron losses in the transformer is 2000 watt. Calculate the i) Full load copper losses ii) half load copper losses and efficiency at half load. Ans: 1265.306 watt, 97.186%